Essential Calculus
2nd Edition
ISBN: 9781133490975
Author: Stewart, James
Publisher: Cengage Learning
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Chapter T, Problem 5DDT
Express the lengths a and b in the figure in terms of θ.
FIGURE FOR PROBLEM 5
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3. Describe the steps you would take to find the absolute max of the following
function using Calculus f(x) = :
, [-1,2]. Then use a graphing calculator to
x-1
x²-x+1
approximate the absolute max in the closed interval.
(7) (12 points) Let F(x, y, z) = (y, x+z cos yz, y cos yz).
Ꮖ
(a) (4 points) Show that V x F = 0.
(b) (4 points) Find a potential f for the vector field F.
(c) (4 points) Let S be a surface in R3 for which the Stokes' Theorem is valid. Use
Stokes' Theorem to calculate the line integral
Jos
F.ds;
as denotes the boundary of S. Explain your answer.
Chapter T Solutions
Essential Calculus
Ch. T - Evaluate each expression without using a...Ch. T - Simplify each expression. Write your answer...Ch. T - Expand and simplify.
3(x + 6) + 4(2x − 5)
(x +...Ch. T - Factor each expression.
4x2 − 25
2x2 + 5x − 12
x3...Ch. T - Simplify the rational expression.
Ch. T - Rationalize the expression and simplify.
(a)
(b)...Ch. T - Rewrite by completing the square.
x2 + x + 1
2x2...Ch. T - Solve the equation. (Find only the real...Ch. T - Solve each inequality. Write your answer using...Ch. T - State whether each equation is true or...
Ch. T - Find an equation for the line that passes through...Ch. T - Prob. 2BDTCh. T - Prob. 3BDTCh. T - Let A(−7, 4) and B(5, −12) be points in the...Ch. T - Sketch the region in the xy-plane defined by the...Ch. T - The graph of a function f is given at the left....Ch. T - If f(x) = x3, evaluate the difference quotient...Ch. T - Find the domain of the function. (a)...Ch. T - How are graphs of the functions obtained from the...Ch. T - Without using a calculator, make a rough sketch of...Ch. T - Let
Evaluate f(−2) and f(1).
Sketch the graph of...Ch. T - Prob. 7CDTCh. T - Prob. 1DDTCh. T - Convert from radians to degrees. (a) 5/6 (b) 2Ch. T - Find the length of an arc of a circle with radius...Ch. T - Find the exact values. (a) tan(/3) (b) sin(7/6)...Ch. T - Express the lengths a and b in the figure in terms...Ch. T - If sinx=13 and secy=54, where x and y lie between...Ch. T - Prove the identities.
tan θ sin θ + cos θ = sec...Ch. T - Find all values of x such that sin 2x = sin x and...Ch. T - Sketch the graph of the function y = 1 + sin 2x...
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