Calculus with Applications (11th Edition)
11th Edition
ISBN: 9780321979421
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter T, Problem 17DT
To determine
To simplify: The expression
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Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
Find the indefinite integral by making a change of variables. (Remember the constant of integration.)
√(x+4)
4)√6-x dx
Chapter T Solutions
Calculus with Applications (11th Edition)
Ch. T - Prob. 1DTCh. T - Simplify .
Ch. T - Let x be the number of apples and y be the number...Ch. T - Let s be the number of students and p be the...Ch. T - Solve for k: 7k + 8 = –4(3 – k).
Ch. T - Solve for
Ch. T - Write in interval notation: -2 < x ≤ 5.
Ch. T - Using the variable x, write the following interval...Ch. T - Solve for y: 5(y – 2) + 1 ≤ 7y + 8.
Ch. T - Solve for .
Ch. T - Carry out the operations and simplify: (5y2 - 6y –...Ch. T - Multiply out and simplify (x2 – 2x + 3)(x + 1).
Ch. T - Multiply out and simplify (a – 2b)2.
Ch. T - Factor 3pq + 6p2q + 9pq2.
Ch. T - Prob. 15DTCh. T - Perform the operation and simplify: .
Ch. T - Perform the operation and simplify:.
Ch. T - Solve for x: 3x2 + 4x = 1.
Ch. T - Solve for z: .
Ch. T - Simplify
Ch. T - Simplify
Ch. T - Simplify as a single term without negative...Ch. T - Prob. 23DTCh. T - Simplify
Ch. T - Rationalize the denominator: .
Ch. T - Simplify .
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