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A ladder 21 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 1 feet per second. Use this image to find the relation between x, y and ladder using the Pythagorean theorem. y y dx dt Part 1: State the Pythagorean theorem for this problem as function of x,y and the ladder 21 feet. The Pythagorean theorem for this problem is: Part 2: Find the value of y using Part 1. y = Part 3: Find the rate of change of the top of the ladder, a, using part Part 1. dy/dt =Dda/dt

A ladder 21 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 1 feet per second. Use this image to find the relation between x, y and ladder using the Pythagorean theorem. y y dx dt Part 1: State the Pythagorean theorem for this problem as function of x,y and the ladder 21 feet. The Pythagorean theorem for this problem is: Part 2: Find the value of y using Part 1. y = Part 3: Find the rate of change of the top of the ladder, a, using part Part 1. dy/dt =Dda/dt

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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A ladder 21 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 1 feet per second. Use this image to find the relation between x, y and ladder using the Pythagorean theorem. dy dx dt Part 1: State the Pythagorean theorem for this problem as function of x,y and the ladder 21 feet. The Pythagorean theorem for this problem is: H Part 2: Find the value of y using Part 1. Part 3: Find the rate of change of the top of the ladder, , using part Part 1. dy/dt =da/dt Part 4: Find the velocity of the top of the ladder using the value of x, y and dx/dt when x is 6 feet. Velocity = Part 5: Find the area of the right triangle as a function of x. A(z) = Part 6: Find the first derivative of the area with respect to time t dA/dt =da/dt Part 7: Find tan(0) as a function of x and y. tan(0) = Use this image to find tan(0) as a function of x and y. Wall Ladder Ground Part 8: Find the rate of change of theta with respect to t. de/dt
Transcribed Image Text:A ladder 21 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 1 feet per second. Use this image to find the relation between x, y and ladder using the Pythagorean theorem. dy dx dt Part 1: State the Pythagorean theorem for this problem as function of x,y and the ladder 21 feet. The Pythagorean theorem for this problem is: H Part 2: Find the value of y using Part 1. Part 3: Find the rate of change of the top of the ladder, , using part Part 1. dy/dt =da/dt Part 4: Find the velocity of the top of the ladder using the value of x, y and dx/dt when x is 6 feet. Velocity = Part 5: Find the area of the right triangle as a function of x. A(z) = Part 6: Find the first derivative of the area with respect to time t dA/dt =da/dt Part 7: Find tan(0) as a function of x and y. tan(0) = Use this image to find tan(0) as a function of x and y. Wall Ladder Ground Part 8: Find the rate of change of theta with respect to t. de/dt
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