Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 11.3, Problem 102E
In the following exercises, graph each ellipse.
102.
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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 11 Solutions
Intermediate Algebra
Ch. 11.1 - Use the rectangular coordinate system to find the...Ch. 11.1 - Use the rectangular coordinate system to find the...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Midpoint Formula to find the midpoint of...Ch. 11.1 - Use the Midpoint Formula to find the midpoint of...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...
Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - (a) Find the center and radius, then (b) Graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - the following exercises, write the standard form...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - the following exercises, (a) find the center and...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - Explain the relationship between the distance...Ch. 11.1 - Is a circle a function? Explain why or why not.Ch. 11.1 - In your own words, state the definition of a...Ch. 11.1 - In your own words, explain the steps you would...Ch. 11.2 - Graph y=x2+5x6 by using properties.Ch. 11.2 - Graph y=x2+8x12 by using properties.Ch. 11.2 - (a) Write y=2x2+4x+5 in standard form and (b) use...Ch. 11.2 - (a) Write y=2x2+8x7 in standard form and (b) use...Ch. 11.2 - Graph x=y2 by using properties.Ch. 11.2 - Graph x=y2 by using properties.Ch. 11.2 - Graph x=y24y+12 by using properties.Ch. 11.2 - Graph x=y2+2y3 by using properties.Ch. 11.2 - Graph x=3(y1)2+2 using properties.Ch. 11.2 - Graph x=2(y3)2+2 using properties.Ch. 11.2 - Graph x=4(y+2)2+4 using properties.Ch. 11.2 - Graph x=2(y+3)2+2 . using properties.Ch. 11.2 - (a) Write x=3y2+y+7 in standard form and (b) use...Ch. 11.2 - (a) Write x=4y216y12 in standard form and (b) use...Ch. 11.2 - Find the equation of the parabolic arch formed in...Ch. 11.2 - Find the equation of the parabolic arch formed in...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - ?Write the equation of the parabolic arch formed...Ch. 11.2 - Write the equation of the parabolic arch formed in...Ch. 11.2 - Write the equation of the parabolic arch formed in...Ch. 11.2 - Write the equation of the parabolic arch formed in...Ch. 11.2 - In your own words, define a parabola.Ch. 11.2 - Is the parabola y=x2 a function? Is the parabola...Ch. 11.2 - Write the equation of a parabola that opens up or...Ch. 11.2 - Explain in your own words, how you can tell from...Ch. 11.3 - Graph: x24+y216=1.Ch. 11.3 - Graph: x29+y216=1.Ch. 11.3 - Graph 9x2+16y2=144.Ch. 11.3 - Graph 16x2+25y2=400.Ch. 11.3 - Find the equation of the ellipse shown.Ch. 11.3 - Find the equation of the ellipse shown.Ch. 11.3 - Graph: ( x+3)24+( y5)216=1.Ch. 11.3 - Graph: ( x1)225+( y+3)216=1.Ch. 11.3 - Graph ( x5)29+( y+4)24=1 by translation.Ch. 11.3 - Graph ( x+6)216+( y+2)225=1 by transaction.Ch. 11.3 - (a) Write the equation 6x2+4y2+12x32y+34=0 in...Ch. 11.3 - (a) Write the equation 4x2+y216x6y+9=0 in standard...Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - A comet moves in an elliptical orbit around a sun....Ch. 11.3 - A comet moves in an elliptical orbit around a sun....Ch. 11.3 - In your own words, define an ellipse and write the...Ch. 11.3 - Explain in your own words how to get the axes from...Ch. 11.3 - Compare and contrast the graphs of the equations...Ch. 11.3 - Explain in your own words, the difference between...Ch. 11.4 - Graph x216y24=1.Ch. 11.4 - x29y216=1.Ch. 11.4 - Graph 4y225x2=100.Ch. 11.4 - Graph 25y29x2=225.Ch. 11.4 - Graph ( x3)225( y1)29=1.Ch. 11.4 - Graph ( x2)24( y2)29=1.Ch. 11.4 - Graph ( y+3)216( x+2)29=1.Ch. 11.4 - Graph ( y+2)29( x+2)29=1.Ch. 11.4 - Write the equation in standard form and (b) graph...Ch. 11.4 - Write the equation in standard form and (b) graph...Ch. 11.4 - Identify the graph of each equation as a circle, a...Ch. 11.4 - Identify the graph of each equation as a circle,...Ch. 11.4 - In the following exercises, graph. 147. x29y24=1Ch. 11.4 - In the following exercises, graph. 148. x225y29=1Ch. 11.4 - In the following exercises, graph. 149. x216y225=1Ch. 11.4 - In the following exercises, graph. 150. x29y236=1Ch. 11.4 - In the following exercises, graph. 151. y225x24=1Ch. 11.4 - In the following exercises, graph. 152. y236x216=1Ch. 11.4 - In the following exercises, graph. 153....Ch. 11.4 - In the following exercises, graph. 154....Ch. 11.4 - In the following exercises, graph. 155. 4y29x2=36Ch. 11.4 - In the following exercises, graph. 156....Ch. 11.4 - In the following exercises, graph. 157. 4x216y2=64Ch. 11.4 - AIn the following exercises, graph. 158. 9x24y2=36Ch. 11.4 - In the following exercises, graph. 159. ( x1)216(...Ch. 11.4 - In the following exercises, graph. 160. ( x2)24(...Ch. 11.4 - In the following exercises, graph. 161. ( y4)29(...Ch. 11.4 - In the following exercises, graph. 162. ( y1)225(...Ch. 11.4 - LIn the following exercises, graph. 163. (...Ch. 11.4 - In the following exercises, graph. 164. ( y+1)216(...Ch. 11.4 - In the following exercises, graph. 165. ( y4)216(...Ch. 11.4 - In the following exercises, graph. 166. ( y+3)216(...Ch. 11.4 - In the following exercises, graph. 167. ( x3)225(...Ch. 11.4 - In the following exercises, graph. 168. ( x+2)24(...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, identify the type of...Ch. 11.4 - In the following exercises, identify the type of...Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In your own words, define a hyperbola and write...Ch. 11.4 - Explain in your own words how to create and use...Ch. 11.4 - Compare and contrast the graphs of the equations...Ch. 11.4 - Explain in your own words, how to distinguish the...Ch. 11.5 - Solve the system by graphing: {x+y=4y=x2+2.Ch. 11.5 - Solve the system by graphing: {xy=1y=x2+3.Ch. 11.5 - Solve the system by graphing: {x=6 (x3 )2+ (y1...Ch. 11.5 - LSolve the system by graphing: {y=4 (x2 )2+ (y+3...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by elimination: {x2+y2=9x2y=9.Ch. 11.5 - Solve the system by elimination: {x2+y2=1x+y2=1.Ch. 11.5 - Solve the system by elimination: {x2+y2=25x2y2=7.Ch. 11.5 - Solve the system by elimination: {x2+y2=4x2y2=4.Ch. 11.5 - The difference of the squares of two numbers is...Ch. 11.5 - The difference of the squares of two numbers is...Ch. 11.5 - Edgar purchased a small 20" TV for his garage. The...Ch. 11.5 - The Harper family purchased a small microwave for...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In your own words, explain the advantages and...Ch. 11.5 - Explain in your own words how to solve a system of...Ch. 11.5 - Explain in your own words how to solve a system of...Ch. 11.5 - A circle and a parabola can intersect in ways that...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, create the equation of...Ch. 11 - In the following exercises, create the equation of...Ch. 11 - ]In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, find the equation of...Ch. 11 - In the following exercises, find the equation of...Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, write the equation of...Ch. 11 - In the following exercises, graph. 297. x225y29=1Ch. 11 - In the following exercises, graph. 298. y249x216=1Ch. 11 - In the following exercises, graph. 299....Ch. 11 - In the following exercises, graph. 300. 16x24y2=64Ch. 11 - In the following exercises, graph. 301. ( x+1)24(...Ch. 11 - ]In the following exercises, graph. 302. ( x2 ) 2...Ch. 11 - In the following exercises, graph. 303. ( y+2)29(...Ch. 11 - In the following exercises, graph. 304. ( y1)225(...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, identify the type of...Ch. 11 - In the following exercises, identify the type of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...
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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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