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Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy = 2, given dt that x* = 9y3 - 227. Find %3D dx (Round to two decimal places as needed.) dt

Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy = 2, given dt that x* = 9y3 - 227. Find %3D dx (Round to two decimal places as needed.) dt

Calculus: Early Transcendentals
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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Question
Given that x and y are functions of time, find the indicated rate of change. dy = 2, given dt dx when y = 3 and dt that x* = 9y – 227. Find %3D dx (Round to two decimal places as needed.) dt
Transcribed Image Text:Given that x and y are functions of time, find the indicated rate of change. dy = 2, given dt dx when y = 3 and dt that x* = 9y – 227. Find %3D dx (Round to two decimal places as needed.) dt
A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 3 feet per minute. Find the rate at which the area is changing at the instant the radius is 12 feet. When the radius is 12 feet, the area is changing at approximately square feet per minute. (Round to the nearest thousandth as needed.)
Transcribed Image Text:A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 3 feet per minute. Find the rate at which the area is changing at the instant the radius is 12 feet. When the radius is 12 feet, the area is changing at approximately square feet per minute. (Round to the nearest thousandth as needed.)
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