Essential Calculus: Early Transcendenta...

2nd Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781133112280

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Chapter

Section

Problem 1ADT:

Evaluate each expression without using a calculator. (a) (3)4 (b) 34 (c) 34 (d) 523521 (e) (23)2 (f)...

Problem 2ADT:

Simplify each expression. Write your answer without negative exponents.
(3a3b3)(4ab2)2

Problem 4ADT:

Factor each expression.
4x2 − 25
2x2 + 5x − 12
x3 − 3x2 − 4x + 12
x4 + 27x
3x3/2 − 9x1/2 +...

Problem 5ADT:

Simplify the rational expression.

Problem 6ADT:

Rationalize the expression and simplify.
(a)
(b)

Problem 8ADT:

Solve the equation. (Find only the real solutions.)
x + 5 = 14 −x
x2 − x − 12 = 0
2x2 + 4x +1 =...

Problem 9ADT:

Solve each inequality. Write your answer using interval notation.
−4 < 5 − 3x ≤ 17
x2 < 2x + 8
x(x −...

Problem 10ADT:

State whether each equation is true or false.

Problem 1BDT:

Find an equation for the line that passes through the point (2, 5) and (a) has slope 3 (b) is...

Problem 2BDT:

Find an equation for the circle that has center (1, 4) and passes through the point (3, 2).

Problem 4BDT:

Let A(−7, 4) and B(5, −12) be points in the plane.
Find the slope of the line that contains A and...

Problem 5BDT:

Sketch the region in the xy-plane defined by the equation or inequalities.
−1 ≤ y ≤ 3
| x | < 4 and...

Problem 1CDT:

The graph of a function f is given at the left. (a) State the value of f(1). (b) Estimate the value...

Problem 4CDT:

How are graphs of the functions obtained from the graph of f? (a) y = f(x) (b) y = 2f(x) 1 (c) y =...

Problem 5CDT:

Without using a calculator, make a rough sketch of the graph.
y = x3
y = (x + 1)3
y = (x − 2)3 +...

Problem 6CDT:

Let
Evaluate f(−2) and f(1).
Sketch the graph of f.

Problem 7CDT:

If f(x) = x2 + 2x 1 and g(x) = 2x 3, find each of the following functions. (a) f g (b) g f (c) g...

Problem 1DDT:

Convert from degrees to radians.
300°
−18°

Problem 2DDT:

Convert from radians to degrees. (a) 5/6 (b) 2

Problem 3DDT:

Find the length of an arc of a circle with radius 12 cm if the arc subtends a central angle of...

Problem 7DDT:

Prove the identities.
tan θ sin θ + cos θ = sec θ

Problem 9DDT:

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