CHAPTER 1 REVIEW 1. Find lim x2 +2x-35 x+7 2. For f(x) = x³ + x² – 2x %3D find the average rate of change as x changes from -1 to 2. a. b. find the instantaneous rate of change at x = 2. 3. Differentiate the following: x +24 a. f(x) = x + 8x² – 2 x3+x b. y = (3-1)K)- cncamx) 3x²rx- x3+x %3D X2 x² +8 C. y = 8-x x2/3 + 750, where x is the 4. Given revenue and cost functions R(x) = 50x and C(x) number of items produced and R(x) and C(x) are in dollars, find the following. The average revenue, the average cost, and the average profit when x items a. are produced. cIs dit p wera5c CUST IS changing %3D Find the point(s) on the graph of y = x³ – 3x² at which the tangent line is horizontal.
CHAPTER 1 REVIEW 1. Find lim x2 +2x-35 x+7 2. For f(x) = x³ + x² – 2x %3D find the average rate of change as x changes from -1 to 2. a. b. find the instantaneous rate of change at x = 2. 3. Differentiate the following: x +24 a. f(x) = x + 8x² – 2 x3+x b. y = (3-1)K)- cncamx) 3x²rx- x3+x %3D X2 x² +8 C. y = 8-x x2/3 + 750, where x is the 4. Given revenue and cost functions R(x) = 50x and C(x) number of items produced and R(x) and C(x) are in dollars, find the following. The average revenue, the average cost, and the average profit when x items a. are produced. cIs dit p wera5c CUST IS changing %3D Find the point(s) on the graph of y = x³ – 3x² at which the tangent line is horizontal.
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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Transcribed Image Text:CHAPTER 1 REVIEW
1. Find lim
x2 +2x-35
x+7
2. For f(x) = x³ + x² – 2x
%3D
find the average rate of change as x changes from -1 to 2.
a.
b. find the instantaneous rate of change at x = 2.
3. Differentiate the following:
x +24
a. f(x) = x + 8x² – 2
x3+x
b. y =
(3-1)K)- cncamx)
3x²rx- x3+x
%3D
X2
x² +8
C. y =
8-x
x2/3 + 750, where x is the
4. Given revenue and cost functions R(x) = 50x and C(x)
number of items produced and R(x) and C(x) are in dollars, find the following.
The average revenue, the average cost, and the average profit when x items
a.
are produced.
cIs dit p
wera5c CUST IS changing
%3D
Find the point(s) on the graph of y = x³ – 3x² at which the tangent line is horizontal.
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