11-24 - Net Change and Average Rate of Change A function isgiven. Determine (a) the net change and (b) the average rate ofchange between the given values of the variable.15. h(1) = 21 – t; t= 3, 1 = 616. f(2) = 1 - 3z; z = -2, z = 017. f(x) = x' - 4x; x = 0, x = 10

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Answered: 11-24 - Net Change and Average Rate of…

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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how would you do this? this is a non graded practice worksheet
QUESTION 2 The average rate of change is the same as computing the slope of a line to the graph of f(x). The instantaneous rate of change is the same as computing the slope of a line to the graph of f(x) QUESTION 3 x3 Let f(x)=5/x + 1000 over the interval [4,9]. Give answer to 3 decimal places.
K If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is given by f(x) = 108x - 18x², find the following. (A) The instantaneous velocity function v = f'(x) (B) The velocity when x = 0 and x = 4 sec (C) The time(s) when v = 0 F6 A 6 (A) v(x) = (B) The velocity when x = 0 sec is Y H F7 DELL & 7 F8 U J ع F9 *00 8 0 K ft/sec. F10 ( 9 ... ·N L Time Remaining: 01:40:32 F11 55 O ох P: て F12 PrtScr (120) { Insert } 2: 1/13- Delete Backspace
Select the statement that is false about the difference quotient. The difference quotient can be represented by f(x+h)−f(x)(x+h)−x or f(x+h)−f(x)h The difference quotient is a more general form of the average rate of change of a function on an interval h units long. The difference quotient describes the general behavior of a function over some interval h units long when the rate of change is not constant. As the value of h gets smaller and smaller, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)). As the value of h gets larger and larger, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)).

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11-24 - Net Change and Average Rate of Change A function is given. Determine (a) the net change and (b) the average rate of change between the given values of the variable. 15. h(1) = 21 – t; t= 3, 1 = 6 16. f(2) = 1 - 3z; z = -2, z = 0 17. f(x) = x' - 4x; x = 0, x = 10