Algebra and Trigonometry
1st Edition
ISBN: 9781938168376
Author: Jay Abramson
Publisher: OpenStax
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Textbook Question
Chapter 12.5, Problem 37SE
For the following exercises, graph the given
37. r=21−sin θ
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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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- Find all solutions to the following equation. Do you get any extraneous solutions? Explain why or why not. 2 2 + x+1x-1 x21 Show all steps in your process. Be sure to state your claim, provide your evidence, and provide your reasoning before submitting.arrow_forwardDirections: For problems 1 through 3, read each question carefully and be sure to show all work. 1. What is the phase shift for y = 2sin(2x-)? 2. What is the amplitude of y = 7cos(2x+л)? 3. What is the period of y = sin(3x-π)? Directions: For problems 4 and 5, you were to compare and contrast the two functions in each problem situation. Be sure to include a discussion of similarities and differences for the periods, amplitudes, y-minimums, y-maximums, and any phase shift between the two graphs. Write in complete sentences. 4. y 3sin(2x) and y = 3cos(2x) 5. y 4sin(2x) and y = cos(3x- -플)arrow_forward2. Find the exact value of 12 + 12+12+√√12+ √12+ 12arrow_forward
- Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 1 day. Consider the function TT where T(d)T(d) =100(2)−d=100(2)−d is the percent of Technetium-99m remaining dd days after the test. Which expression represents the number of days until only 5% remains?arrow_forward1. Find the inverse of f(x) = = 2x 1+2x Then find the domain of the inverse.arrow_forwardLet S = be a set of k vectors in R^, with karrow_forward
- a) [1√2-31x+1√3-11y = x (1 - √2) + √34 LI√2-21x-1√3-3/4= √34 - √2x-4arrow_forwardPlease Help me answer this linear algebra question. This is a practice textbook question.arrow_forward1. a scientist observed a bacterium in a microscope. it measured about .0000029 meter in diameter which of the following is closest to it? A- 2 x 10^-6, B- 2 x 10^-5, C- 3 x 10^-5, or D- 3 x 10^-6 2.express the product of 500 and 400 in scientific notation. is it 2 x 10^5 or 2 x 10^4 or 2 x 10^3 or 20 x 10^4arrow_forward
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