I hope you can help me III.Solve the following problems. Use only Four-step Rule1. Find the rate of change of the area of a circle with respect to its radius when the radius is 3feet.2. For the function y = xVx find the value of x for which the rate of change of y with respect to xis 6.3. Find the rate at which the volume of a right circular cylinder of constant altitude 10 feetchanges with respect to its diameter when the radius is 5 feet. JYIDUIS Used to denote the derivative are D,y , D,f(x) , y', f'(x) ,- f(x)The process of findingwheny = f(x) is known, is called differentiation ; and if the derivaxpexists, f(x) is said to be a differentiable function.FOUR-STEP RULE1. Substitute x + Ax for x and y+Ay for y in y=f(x).2. Subtract y=f(x) from the result of step 1 to obtain Ay in terms of x and Ax3. Divide both sides of the result of step 2 by Ax4. Find the limit of the result of step 3 as Ax approaches zero.

Name: I hope you can help me III.Solve the following problems. Use only Four
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Description: I hope you can help me III.Solve the following problems. Use only Four-step Rule1. Find the rate of change of the area of a circle with respect to its radius when the radius is 3feet.2. For the function y = xVx find the value of x for which the rate

Given that radius of circle r=3. The objective is to find the rate of change of the area of a circle…

Answered: 1. Find the rate of change of the area…

Math

Calculus

1. Find the rate of change of the area of a circle with respect to its radius when the radius is 3 feet. of change of y with respect to x

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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