Algebra and Trigonometry
1st Edition
ISBN: 9781938168376
Author: Jay Abramson
Publisher: OpenStax
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Chapter 12.5, Problem 2TI
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part 3 of the question is:
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
2. The duration of the ride is 15 min.
(a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris
wheel?
(b) What is the position of that passenger when the ride ends?
3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum
was at its resting position. The pendulum then moved right (positive displacement) and left (negative
displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its
resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents
the pendulum's displacement as a function of time.
Answer:
f(t)
(a) Write an equation to represent the displacement of the pendulum as a function of time.
(b) Graph the function.
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Chapter 12 Solutions
Algebra and Trigonometry
Ch. 12.1 - What is the standard form equation of the ellipse...Ch. 12.1 - What is the standard form equation of the ellipse...Ch. 12.1 - Graph the ellipse given by the equation x236+y24=1...Ch. 12.1 - Graph the ellipse given by the equation...Ch. 12.1 - Graph the ellipse given by the equation...Ch. 12.1 - Express the equation of the ellipse given in...Ch. 12.1 - Suppose a whispering chamber is 480 feet long and...Ch. 12.1 - Define an ellipse in terms of its foci.Ch. 12.1 - Where must the foci of an ellipse lie?Ch. 12.1 - What special case of the ellipse do we have when...
Ch. 12.1 - For the special case mentioned in the previous...Ch. 12.1 - What can be said about the symmetry of the graph...Ch. 12.1 - For the following exercises, determine whether the...Ch. 12.1 - For the following exercises, determine whether the...Ch. 12.1 - For the following exercises, determine whether the...Ch. 12.1 - For the following exercises, determine whether the...Ch. 12.1 - For the following exercises, determine whether the...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - For the following exercises, write the equation of...Ch. 12.1 - ALGEBRAIC For the following exercises, find the...Ch. 12.1 - For the following exercises, find the foci for the...Ch. 12.1 - For the following exercises, find the foci for the...Ch. 12.1 - For the following exercises, find the foci for the...Ch. 12.1 - For the following exercises, find the foci for the...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, use the given...Ch. 12.1 - For the following exercises, use the given...Ch. 12.1 - For the following exercises, use the given...Ch. 12.1 - For the following exercises, graph the given...Ch. 12.1 - For the following exercises, given the graph of...Ch. 12.1 - For the following exercises, given the graph of...Ch. 12.1 - For the following exercises, given the graph of...Ch. 12.1 - For the following exercises, given the graph of...Ch. 12.1 - For the following exercises, given the graph of...Ch. 12.1 - For the following exercises, find the area of the...Ch. 12.1 - For the following exercises, find the area of the...Ch. 12.1 - For the following exercises, find the area of the...Ch. 12.1 - For the following exercises, find the area of the...Ch. 12.1 - For the following exercises, find the area of the...Ch. 12.1 - Find the equation of the ellipse that will just...Ch. 12.1 - Find the equation of the ellipse that will just...Ch. 12.1 - An arch has the shape of a semi-ellipse (the top...Ch. 12.1 - An arch has the shape of a semi-ellipse. The arch...Ch. 12.1 - A bridge is to be built in the shape of a...Ch. 12.1 - A person in a whispering gallery standing at one...Ch. 12.1 - A person is standing 8 feet from the nearest wall...Ch. 12.2 - Identify the vertices and foci of the hyperbola...Ch. 12.2 - What is the standard form equation of the...Ch. 12.2 - What is the standard form equation of the...Ch. 12.2 - Graph the hyperbola given by the equation...Ch. 12.2 - Graph the hyperbola given by the standard form of...Ch. 12.2 - A design for a cooling tower project is shown in...Ch. 12.2 - Define a hyperbola in terms of its foci.Ch. 12.2 - What can we conclude about a hyperbola if its...Ch. 12.2 - What must be true of the foci of a hyperbola?Ch. 12.2 - If the transverse axis of a hyperbola is vertical,...Ch. 12.2 - Where must the center of hyperbola be relative to...Ch. 12.2 - For the following exercises, determine whether the...Ch. 12.2 - For the following exercises, determine whether the...Ch. 12.2 - For the following exercises, determine whether the...Ch. 12.2 - For the following exercises, determine whether the...Ch. 12.2 - For the following exercises, determine whether the...Ch. 12.2 - For the followung exericses, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, write the equation...Ch. 12.2 - For the following exercises, find the equations of...Ch. 12.2 - For the following exercises, find the equations of...Ch. 12.2 - For the following exercises, find the equations of...Ch. 12.2 - For the following exercises, find the equations of...Ch. 12.2 - For the following exercises, find the equations of...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, sketch a graph of the...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercise, given information...Ch. 12.2 - For the following exercises, express the equation...Ch. 12.2 - For the following exercises, express the equation...Ch. 12.2 - For the following exercises, express the equation...Ch. 12.2 - For the following exercises, express the equation...Ch. 12.2 - For the following exercises, express the equation...Ch. 12.2 - For the following exercises, a hedge is to be...Ch. 12.2 - For the following exercises, a hedge is to be...Ch. 12.2 - For the following exercises, a hedge is to be...Ch. 12.2 - For the following exercises, a hedge is to be...Ch. 12.2 - For the following exercises, a hedge is to be...Ch. 12.2 - For the following exercises, assume an object...Ch. 12.2 - For the following exercises, assume an object...Ch. 12.2 - For the following exercises, assume an object...Ch. 12.2 - For the following exercises, assume an object...Ch. 12.2 - For the following exercises, assume an object...Ch. 12.3 - Graph y2=16x . Identify and label the focus,...Ch. 12.3 - Graph x2=8y . Identify and label the focus,...Ch. 12.3 - What is the equation for the parabola with focus...Ch. 12.3 - Graph (y+1)2=4(x8) . Identify and label the...Ch. 12.3 - Graph (x+2)2=20(y3) . Identify and label the...Ch. 12.3 - Balcony-sized solar cookers have been designed for...Ch. 12.3 - Define a parabola in terms of its focus and...Ch. 12.3 - If the equation of a parabola is written in...Ch. 12.3 - If the equation of a parabola is written in...Ch. 12.3 - What is the effect on the graph of a parabola if...Ch. 12.3 - As the graph of a parabola becomes wider, what...Ch. 12.3 - For the following exercises, determine whether the...Ch. 12.3 - For the following exercises, determine whether the...Ch. 12.3 - For the following exercises, determine whether the...Ch. 12.3 - For the following exercises, determine whether the...Ch. 12.3 - For the following exercises, determine whether the...Ch. 12.3 - For the following exercises, determine whether the...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, rewrite the given...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, graph the parabola,...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, determine the...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, find the equation of...Ch. 12.3 - For the following exercises, the vertex and...Ch. 12.3 - For the following exercises, the vertex and...Ch. 12.3 - For the following exercises, the vertex and...Ch. 12.3 - For the following exercises, the vertex and...Ch. 12.3 - For the following exercises, the vertex and...Ch. 12.3 - The mirror in an automobile headlight has a...Ch. 12.3 - If we want to construct the mirror from the...Ch. 12.3 - A satellite dish is shaped like a paraboloid of...Ch. 12.3 - Consider the satellite dish from the previous...Ch. 12.3 - A searchlight is shaped like a paraboloid of...Ch. 12.3 - If the searchlight from the previous exercise has...Ch. 12.3 - An arch is in the shape of a parabola. It has a...Ch. 12.3 - If the arch from the previous exercise has a span...Ch. 12.3 - An object is projected so as to follow a parabolic...Ch. 12.3 - For the object from the previous exercise, assume...Ch. 12.4 - Identify the graph of each of the following...Ch. 12.4 - Rewrite the 13x263xy+7y2=16 in the x’y’system...Ch. 12.4 - Identify the conic for each of the following...Ch. 12.4 - What effect does the xyterm have on the graph of a...Ch. 12.4 - If the equation of a conic section is written in...Ch. 12.4 - If the equation of a conic section is written in...Ch. 12.4 - Given the equation ax2+4x+3y212=0 , what can we...Ch. 12.4 - For the equation Ax2+Bxy+Cy2+Dx+Ey+F=0 , the value...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - or the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, determine which conic...Ch. 12.4 - For the following exercises, find a new...Ch. 12.4 - For the following exercises, find a new...Ch. 12.4 - For the following exercises, find a new...Ch. 12.4 - For the following exercises, find a new...Ch. 12.4 - For the following exercises, find a new...Ch. 12.4 - For the following exercises, determine the angle ...Ch. 12.4 - For the following exercises, determine the angle ...Ch. 12.4 - For the following exercises, determine the angle ...Ch. 12.4 - For the following exercises, determine the angle ...Ch. 12.4 - For the following exercises, determine the angle ...Ch. 12.4 - For the following exercises, determine the angle ...Ch. 12.4 - For the following exercises determine the angle ...Ch. 12.4 - For the following exercises determine the angle ...Ch. 12.4 - For the following exercises, rotate through the...Ch. 12.4 - For the following exercises, rotate through the...Ch. 12.4 - For the following exercises, rotate through the...Ch. 12.4 - For the following exercises, rotate through the...Ch. 12.4 - For the following exercises, rotate through the...Ch. 12.4 - For the following exercises, rotate through the...Ch. 12.4 - For the following exercises, rotate through the...Ch. 12.4 - For the following exercises, rotate through the...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises, graph the equation...Ch. 12.4 - For the following exercises. determine the angle...Ch. 12.4 - For the following exercises, determine the angle...Ch. 12.4 - For the following exercises, determine the angle...Ch. 12.4 - For the following exercises, determine the angle...Ch. 12.4 - For the following exercises, determine the angle...Ch. 12.4 - For the following exercises, determine the angle...Ch. 12.4 - For the following exercises, determine the value...Ch. 12.4 - For the following exercises, determine the value...Ch. 12.4 - For the following exercises, determine the value...Ch. 12.4 - For the following exercises, determine the value...Ch. 12.4 - For the following exercises, determine the value...Ch. 12.5 - Identify the conic with focus at the origin, the...Ch. 12.5 - Graph r=24cosCh. 12.5 - Find the polar form of the conic given a focus at...Ch. 12.5 - Convert the conic r=21+2cos to rectangular form.Ch. 12.5 - Explain how eccentricity determines which conic...Ch. 12.5 - If a conic section is written as a polar equation,...Ch. 12.5 - If a conic section is written as a polar equation,...Ch. 12.5 - If the directrix of a conic section is...Ch. 12.5 - What do we know about the focus/foci of a conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, identity the conic...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, convert the polar...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, graph the given conic...Ch. 12.5 - For the following exercises, find the polar...Ch. 12.5 - For the following exercises, find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - For the following exercises. find the polar...Ch. 12.5 - Recall from Rotation of Axes that equations of...Ch. 12.5 - Recall from Rotation of Axes that equations of...Ch. 12.5 - Recall from Rotation of Axes that equations of...Ch. 12.5 - Recall from Rotation of Axes that equations of...Ch. 12.5 - Recall from Rotation of Axes that equations of...Ch. 12 - For the following exercises. write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, graph the ellipse,...Ch. 12 - For the following exercises, graph the ellipse,...Ch. 12 - For the following exercises, graph the ellipse,...Ch. 12 - For the following exercises, graph the ellipse,...Ch. 12 - For the following exercises, use the given...Ch. 12 - For the following exercises, use the given...Ch. 12 - For the following exercises, use the given...Ch. 12 - For the following exercises. write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises. write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, graph the hyperbola,...Ch. 12 - For the following exercises, graph the hyperbola,...Ch. 12 - For the following exercises, graph the hyperbola,...Ch. 12 - For the following exercises, graph the hyperbola,...Ch. 12 - For the following exercises, find the equation of...Ch. 12 - For the following exercises, find the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, graph the parabola....Ch. 12 - For the following exercises, graph the parabola....Ch. 12 - For the following exercises, graph the parabola....Ch. 12 - For the following exercises, graph the parabola....Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, determine which of...Ch. 12 - For the following exercises, determine which of...Ch. 12 - For the following exercises, determine which of...Ch. 12 - For the following exercises, determine the angle ...Ch. 12 - For the following exercises,determine the angle ...Ch. 12 - For the following exercises, graph the equation...Ch. 12 - For the following exercises, graph the equation...Ch. 12 - For the following exercises, graph the equation...Ch. 12 - For the following exercises, given the polar...Ch. 12 - For the following exercises, given the polar...Ch. 12 - For the following exercises, given the polar...Ch. 12 - For the following exercises, given the polar...Ch. 12 - For the following exercises, graph the conic given...Ch. 12 - For the following exercises, graph the conic given...Ch. 12 - For the following exercises, graph the conic given...Ch. 12 - For the following exercises, graph the conic given...Ch. 12 - For the following exercises, given information...Ch. 12 - For the following exercises, given information...Ch. 12 - For the following exercises, write the equation in...Ch. 12 - For the following exercises, write the equation in...Ch. 12 - For the following exercises, sketch the graph,...Ch. 12 - For the following exercises, sketch the graph....Ch. 12 - For the following exercises, sketch the graph....Ch. 12 - For the following exercises, sketch the graph,...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, graph the hyperbola,...Ch. 12 - For the following exercises, graph the hyperbola....Ch. 12 - For the following exercises, graph the hyperbola,...Ch. 12 - For the following exercises. write the equation of...Ch. 12 - For the following exercises, write the equation of...Ch. 12 - For the following exercises, graph the parabola,...Ch. 12 - For the following exercises, graph the parabola,...Ch. 12 - For the following exercises, graph the parabola,...Ch. 12 - For the following exercises, graph the parabola,...Ch. 12 - For the following exercises, determine which conic...Ch. 12 - For the following exercises, determine which conic...Ch. 12 - For the following exercises, rewrite in the x’y’...Ch. 12 - For the following exercises, rewrite in the x’y’...Ch. 12 - For the following exercises, identify the conic...Ch. 12 - For the following exercises. identify the conic...Ch. 12 - For the following exercises, graph the given conic...Ch. 12 - For the following exercises, graph the given conic...Ch. 12 - For the following exercises, graph the given conic...
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- A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forwardThe Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140- €120 Height, h (ft) 100 80 60 40 20 0 ך 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer:arrow_forward1. Graph the function f(x)=sin(x) −2¸ Answer: y -2π 一元 1 −1 -2 -3 -4+ 元 2πarrow_forward
- 3. Graph the function f(x) = −(x-2)²+4 Answer: f(x) 6 5 4 3 2+ 1 -6-5 -4-3-2-1 × 1 2 3 4 5 6 -1 -2+ ရာ -3+ -4+ -5 -6arrow_forward2. Graph the function f(x) = cos(2x)+1 Answer: -2π 一元 y 3 2- 1 -1 -2+ ရာ -3- Π 2πarrow_forward2. Graph the function f(x) = |x+1+2 Answer: -6-5-4-3-2-1 f(x) 6 5 4 3 2 1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6arrow_forward
- 1. The table shows values of a function f(x). What is the average rate of change of f(x) over the interval from x = 5 to x = 9? Show your work. X 4 f(x) LO 5 6 7 8 9 10 -2 8 10 11 14 18arrow_forward• Find a real-world situation that can be represented by a sinusoidal function. You may find something online that represents a sinusoidal graph or you can create a sinusoidal graph yourself with a measuring tape and a rope. • Provide a graph complete with labels and units for the x- and y-axes. • Describe the amplitude, period, and vertical shift in terms of the real-world situation.arrow_forwardf(x) = 4x²+6x 2. Given g(x) = 2x² +13x+15 and find 41 (4)(x) Show your work.arrow_forward
- f(x) = x² − 6x + 8 3. Given and g(x) = x -2 solve f(x) = g(x) using a table of values. Show your work.arrow_forward1. Graph the function f(x) = 3√x-2 Answer: -6-5 -4-3-2 -1 6 LO 5 f(x) 4 3 2+ 1 1 2 3 4 5 6 -1 -2+ -3 -4 -5 -6- 56arrow_forwardA minivan is purchased for $29,248. The value of the vehicle depreciates over time. • Describe the advantages and disadvantages of using a linear function to represent the depreciation of the car over time. • Describe the advantages and disadvantages of using an exponential function to represent the depreciation of the car over time. • The minivan depreciates $3,000 in the first year. Write either a linear or exponential function to represent the value of the car x years after it was sold.arrow_forward
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