10 Let c be a constant. For what value(s) of c is the integral T -dx improper? (i.e. for what c value(s) would we need to use the Type 2 Improper Integral techniques to solve?) X The only constant which makes this integral improper is c = 0. All c on the interval (-∞, 0]. All c on the interval [0, ∞). This integral is never improper. All c on the interval (-∞, ∞).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Question
Let c be a constant. For what value(s) of c is the integral S
-3 X
what c value(s) would we need to use the Type 2 Improper Integral techniques to
solve?)
10
All c on the interval (-∞, 0].
All c on the interval [0, ∞).
The only constant which makes this integral improper is c = 0.
This integral is never improper.
All c on the interval (-∞, ∞).
de improper? (i.e. for
Transcribed Image Text:Let c be a constant. For what value(s) of c is the integral S -3 X what c value(s) would we need to use the Type 2 Improper Integral techniques to solve?) 10 All c on the interval (-∞, 0]. All c on the interval [0, ∞). The only constant which makes this integral improper is c = 0. This integral is never improper. All c on the interval (-∞, ∞). de improper? (i.e. for
Let f be a continuous function on (0, ∞) such that lim f(x) = ∞ and
lim f(x) = 0. Let g(x) be a function such that g(x) > f(x) for all x. Which of the
following statements is always TRUE?
∞0+1
#f
If g(x) da converges, then √² f(x) ²
[ f(x) dx converges.
f(x) da diverges.
If da
g(x) dx diverges, then
If f(x) da converges, then
16.00.
+0+x
f(x) dx converges.
f(x) da diverges.
g(x) dx converges.
Transcribed Image Text:Let f be a continuous function on (0, ∞) such that lim f(x) = ∞ and lim f(x) = 0. Let g(x) be a function such that g(x) > f(x) for all x. Which of the following statements is always TRUE? ∞0+1 #f If g(x) da converges, then √² f(x) ² [ f(x) dx converges. f(x) da diverges. If da g(x) dx diverges, then If f(x) da converges, then 16.00. +0+x f(x) dx converges. f(x) da diverges. g(x) dx converges.
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