Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. If x = 4 tan 0, then csc 0 = 4/x. b. The integral V1 – x² dx does not have a finite real value. c. The integral Vx² – 1 dx does not have a finite real value. d. The integral /7+ 4x + 9 dx cannot be evaluated using a 2 + 4x + 9 trigonometric substitution.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
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Explain why or why not Determine whether the following state-
ments are true and give an explanation or counterexample.
a. If x = 4 tan 0, then csc 0 = 4/x.
b. The integral V1 – x² dx does not have a finite real value.
c. The integral Vx² – 1 dx does not have a finite real value.
d. The integral /7+ 4x + 9
dx
cannot be evaluated using a
2 + 4x + 9
trigonometric substitution.
Transcribed Image Text:Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. If x = 4 tan 0, then csc 0 = 4/x. b. The integral V1 – x² dx does not have a finite real value. c. The integral Vx² – 1 dx does not have a finite real value. d. The integral /7+ 4x + 9 dx cannot be evaluated using a 2 + 4x + 9 trigonometric substitution.
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