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State the average rate of change of the function f(x) = ax² (a is a constant) in the interval [3, 3+h]. Hence, state the value of a if the instantaneous rate of change is 18.

State the average rate of change of the function f(x) = ax² (a is a constant) in the interval [3, 3+h]. Hence, state the value of a if the instantaneous rate of change is 18.

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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Hi, I've just started calculus and I am very confused.

How do you answer question b? It's attached in the second screenshot.

Question 6a is a(6+h) and my working out for question 6b is also attached but it isn't right and I think I've just connected random numbers in random formulas.

Thanks,

 

State the average rate of change of the function f(x) = ax² (a is a constant) in the interval [3,3 + h]. Hence, state the value of a if the instantaneous rate of change is 18.
Transcribed Image Text:State the average rate of change of the function f(x) = ax² (a is a constant) in the interval [3,3 + h]. Hence, state the value of a if the instantaneous rate of change is 18.
8:47 pm Fri 7 Jul < Un' 2(3)a Ga b. f(x) = ax² 13₁3th 14-3th-6ax +18 a f(x) = ax2x y = 3-5 +6ax-189 = 2009 aug avy roc= a(6th) 6a+ah ah = -69 h = -6 y-g₁- m{z-x√√ у-ді (3-0) у-(3th)-ба(ос-3) 3th - 6900 + 18a ................ 9-3th A (" у=3--6+ бах-18а 4= атвах -189 18= 692-189 +9 0=600-18a - 9 3(290c-6a-3) C 41%
Transcribed Image Text:8:47 pm Fri 7 Jul < Un' 2(3)a Ga b. f(x) = ax² 13₁3th 14-3th-6ax +18 a f(x) = ax2x y = 3-5 +6ax-189 = 2009 aug avy roc= a(6th) 6a+ah ah = -69 h = -6 y-g₁- m{z-x√√ у-ді (3-0) у-(3th)-ба(ос-3) 3th - 6900 + 18a ................ 9-3th A (" у=3--6+ бах-18а 4= атвах -189 18= 692-189 +9 0=600-18a - 9 3(290c-6a-3) C 41%
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