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Math
Calculus
CALCULUS,EARLY TRANS LCPO
Chapter 1, Problem 11CC
Chapter 1, Problem 11CC
BUY
CALCULUS,EARLY TRANS LCPO
9th Edition
ISBN:
9780357771105
Author: Stewart
Publisher:
CENGAGE L
expand_less
1 Functions And Models
2 Limits And Derivatives
3 Differentiation Rules
4 Applications Of Differentiation
5 Integrals
6 Applications Of Integration
7 Techniques Of Integration
8 Further Applications Of Integration
9 Differential Equations
10 Parametric Equations And Polar Coordinates
11 Sequences, Series, And Power Series
12 Vectors And The Geometry Of Space
13 Vector Functions
14 Partial Derivatives
15 Multiple Integrals
16 Vector Calculus
A Numbers, Inequalities, And Absolute Values
B Coordinate Geometry And Lines
C Graphs Of Second-degree Equations
D Trigonometry
E Sigma Notation
F Proofs Of Theorems
G The Logarithm Defined As An Integral
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1.1 Four Ways To Represent A Function
1.2 Mathematical Models: A Catalog Of Essential Functions
1.3 New Functions From Old Functions
1.4 Exponential Functions
1.5 Inverse Functions And Logarithms
Chapter Questions
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Problem 1CC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Problem 2CC: Discuss four ways of representing a function. Illustrate your discussion with examples.
Problem 3CC: (a) What is an even function? How can you tell if a function is even by looking at its graph? Give...
Problem 4CC: What is an increasing function?
Problem 5CC: What is a mathematical model?
Problem 6CC: Give an example of each type of function. (a) Linear function (b) Power function (c) Exponential...
Problem 7CC: Sketch by hand, on the same axes, the graphs of the following functions. (a) f(x) = x (b) g(x) = x2...
Problem 8CC: Draw, by hand, a rough sketch of the graph of each function. (a) y = sin x (b) y = tan x (c) y = ex...
Problem 9CC: Suppose that f has domain A and g has domain B. (a) What is the domain of f + g? (b) What is the...
Problem 10CC: How is the composite function f g defined? What is its domain?
Problem 11CC
Problem 12CC: (a) What is a one-to-one function? How can you tell if a function is one-to-one by looking at its...
Problem 13CC: (a) How is the inverse sine function f(x) = sin1 x defined? What are its domain and range? (b) How...
Problem 1TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 2TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 3TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 4TFQ
Problem 5TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 6TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 7TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 8TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 9TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 10TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 11TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 12TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 13TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 14TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 1E: Let f be the function whose graph is given. (a) Estimate the value of f(2) . (b) Estimate the values...
Problem 2E: The graph of g is given. (a) State the value of g(2). (b) Why is g one-to-one? (c) Estimate the...
Problem 3E: lf f(x) = x2 2x + 3, evaluate the difference quotient f(a+h)f(a)h
Problem 4E: Sketch a rough graph or the yield of a crop as a function of the amount of fertilizer used.
Problem 5E: Find the domain and range of the function. Write your answer in interval notation. 5. f(x) = 2/(3x ...
Problem 6E: Find the domain and range of the function. Write your answer in interval notation. 6. g(x)=16x4
Problem 7E
Problem 8E: Find the domain and range of the function. Write your answer in interval notation. 8. F(t) = 3 + cos...
Problem 9E: Suppose that the graph of f is given. Describe how the graphs of the following functions can be...
Problem 10E: The graph of .f is given. Draw the graphs of the following functions. (a) y = f(x 8) (b) y = f(x)...
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E: Determine whether f is even, odd, or neither even nor odd. (a) f(x)=2x53x2+2 (b) f(x)=x3x7 (c)...
Problem 20E: Find an expression for the function whose graph consists of the line segment from point (2, 2) to...
Problem 21E: If f(x) = In x and g(x) = x2 9. find the functions (a) fg (b) gf (c) ff (d) gg, and their domains.
Problem 22E: Express the function F(x)=1/x+x as a composition of three functions.
Problem 23E
Problem 24E: A small-appliance manufacturer finds that it costs 9000 to produce 1000 toaster ovens a week and...
Problem 25E: If f(x)=2x+4x , find f1(6) .
Problem 26E: Find the inverse function of f(x)=2x+315x .
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E: Solve the equation for x . Give both an exact value and a decimal approximation, correct to three...
Problem 37E
Problem 38E: The population of a certain species in a limited environment with initial population 100 and...
Problem 1P: One of the legs of a right triangle has length 4 cm. Express the length of the altitude...
Problem 2P: The altitude perpendicular to the hypotenuse of a right triangle is 12 cm. Express the length of the...
Problem 3P
Problem 4P: Solve the inequality |x 1| |x 3| 5.
Problem 5P
Problem 6P: Sketch the graph of the function g(x) = |x2 1 | |x2 4|.
Problem 7P
Problem 8P
Problem 9P: The notation max{a, b, } means the largest of the numbers a, b. Sketch the graph of each function....
Problem 10P: Sketch the region in the plane defined by each of the following equations or inequalities. (a)...
Problem 11P
Problem 12P
Problem 13P: Find the exact value of sin100+sin2100+sin3100++sin200100
Problem 14P: (a) Show that the function f(x)=ln(x+x2+1) is an odd function. (b) Find the inverse function of f.
Problem 15P: Solve the inequality ln(x2 2x 2) 0.
Problem 16P: Use indirect reasoning to prove that log2 5 is an irrational number.
Problem 17P: A driver sets out on a journey. For the first half of the distance she drives at the leisurely pace...
Problem 18P: Is it true that f(g+h)=fg+fh?
Problem 19P: Prove that if n is a positive integer, then 7n 1 is divisible by 6.
Problem 20P: Prove that 1 + 3 + 5 + + (2n l ) = n2.
Problem 21P: If fo(x) = x2 and fn+1(x) = fo(fn(x)) for n = 0, 1, 2,, find a formula for fn(x).
Problem 22P: (a) If fo(x)=12x and fn+1=fofnforn=0,1,2,, find an expression for fn(x) and use mathematical...
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Explain the key points of 11.5.2
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prove the limit of case 1 of 11.4.1
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