a. y'=-20x (3– 5x')" 32. Suppose that x and y are both differentiable functions of t and are related by the equation x² + y² = 64 find when %3D dt dx x= 3, given that =-2 and y=5. dt 5 c. - 1.2 d. 1.2 5 b. 6. a. 6. 33. Suppose that x and y are both differentiable functions of t and are related by the equation x² – 4y = -5 find dy when dt x=-2, given that dx = -5 and y =0. dt a. 5 b. - 5 1 d. с. For numbers 34 - 35, please refer to this problem. A ladder 25 feet long is leaning against a vertical wall. If the bottom of the ladder is pulled horizontally away from the wall at 3 feet per second: 34. What formula is to be used in solving the situation? a. Area of a triangle 35. How fast is the top of the ladder sliding down the wall when the bottom is 15 feet from the wall? a. 2.5 ft/sec b. Volume of a Pyramid c. Pythagorean Theorem d. Perimeter of a Triangle b. 2.25 ft/sec c. 2.2 ft/sec d. 2.1 ft/sec

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a. y'=-20x²(3– 5x')"
32.
Suppose that x and y are both differentiable functions of t and are related by the equation x² + y² = 64 find when
%3D
dt
dx
= -2 and y =5.
dt
x = 3, given that
5
c. - 1.2
d. 1.2
5
b.
6.
a.
6.
33.
Suppose that x and y are both differentiable functions of t and are related by the equation x² – 4y = -5 find
dy
when
dt
x =-2, given that
dx
= -5 and y=0.
dt
a. 5
b. – 5
1
d.
с.
For numbers 34 – 35, please refer to this problem. A ladder 25 feet long is leaning against a vertical wall. If the bottom of
the ladder is pulled horizontally away from the wall at 3 feet per second:
34.
What formula is to be used in solving the situation?
a. Area of a triangle
35. How fast is the top of the ladder sliding down the wall when the bottom is 15 feet from the wall?
a. 2.5 ft/sec
b. Volume of a Pyramid
c. Pythagorean Theorem
d. Perimeter of a Triangle
b. 2.25 ft/sec
c. 2.2 ft/sec
d. 2.1 ft/sec
Transcribed Image Text:a. y'=-20x²(3– 5x')" 32. Suppose that x and y are both differentiable functions of t and are related by the equation x² + y² = 64 find when %3D dt dx = -2 and y =5. dt x = 3, given that 5 c. - 1.2 d. 1.2 5 b. 6. a. 6. 33. Suppose that x and y are both differentiable functions of t and are related by the equation x² – 4y = -5 find dy when dt x =-2, given that dx = -5 and y=0. dt a. 5 b. – 5 1 d. с. For numbers 34 – 35, please refer to this problem. A ladder 25 feet long is leaning against a vertical wall. If the bottom of the ladder is pulled horizontally away from the wall at 3 feet per second: 34. What formula is to be used in solving the situation? a. Area of a triangle 35. How fast is the top of the ladder sliding down the wall when the bottom is 15 feet from the wall? a. 2.5 ft/sec b. Volume of a Pyramid c. Pythagorean Theorem d. Perimeter of a Triangle b. 2.25 ft/sec c. 2.2 ft/sec d. 2.1 ft/sec
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