Suppose x and y are functions of third variable t. In the equation x2+y²=45, what are the values of the rate of change in dr y with respect to t when - 2 and x=3, at this instant? dt ±1 B +4 +6

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 cylindrical pool has a height of 8 feet and radius of 6 feet. How fast is the volume (in cubic feet per minute) of the water
flowing in the pool if the measure of the water level is increasing at a rate of 2 inches per minute and the measure of the
water level from the bottom of the pool is 3 feet?
(A
B
В
72n
D
бл
Transcribed Image Text:A cylindrical pool has a height of 8 feet and radius of 6 feet. How fast is the volume (in cubic feet per minute) of the water flowing in the pool if the measure of the water level is increasing at a rate of 2 inches per minute and the measure of the water level from the bottom of the pool is 3 feet? (A B В 72n D бл
Suppose x and y are functions of third variable t. In the equation x2+y²=45, what are the values of the rate of change in
dr
y with respect to t when
- 2 and x=3, at this instant?
dt
±1
B
+4
+6
Transcribed Image Text:Suppose x and y are functions of third variable t. In the equation x2+y²=45, what are the values of the rate of change in dr y with respect to t when - 2 and x=3, at this instant? dt ±1 B +4 +6
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