For the circle x² + y² = 25, a. find y when x = 3. Enter your answer as a list of numbers separated by commas. y = b. find the slope of the tangent line where x = 3. Enter your answer as a list of numbers separated by commas. The slope of the tangent line at x = 3 is c. find the points at which dy dx = 0 at dy dx = 0. Enter your answer as a list of coordinates. d. If the radius starts increasing at a constant rate of 3 cm/s, how fast is the area increasing when r = 9 cm? The area is increasing at cm²/s.

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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For the circle x² + y² = 25,
a. find y when x = 3. Enter your answer as a list of numbers separated by commas.
Y
b. find the slope of the tangent line where x = 3. Enter your answer as a list of numbers separated
by commas.
The slope of the tangent line at x = 3 is
c. find the points at which
dy = 0 at
dx
dy
dx
=
0. Enter your answer as a list of coordinates.
d. If the radius starts increasing at a constant rate of 3 cm/s, how fast is the area increasing when
r = 9 cm?
The area is increasing at
m²/s.
cm
Transcribed Image Text:For the circle x² + y² = 25, a. find y when x = 3. Enter your answer as a list of numbers separated by commas. Y b. find the slope of the tangent line where x = 3. Enter your answer as a list of numbers separated by commas. The slope of the tangent line at x = 3 is c. find the points at which dy = 0 at dx dy dx = 0. Enter your answer as a list of coordinates. d. If the radius starts increasing at a constant rate of 3 cm/s, how fast is the area increasing when r = 9 cm? The area is increasing at m²/s. cm
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