SECTION Arc Length and Surfaces of Revolution Arc Length and Surfaces of Revolution 1. Identify the definite integral that represents the arc length of the curve y = √√x over the interval [0, 3]. ľ of T [ VFXdx (2) [√x dx (a) 1+ 4x (b) 1+ (e) None of these dx (c) 231

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 42E
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SECTION
Arc Length and Surfaces of Revolution
Arc Length and Surfaces of Revolution
Identify the definite integral that represents the arc length of the curve y = √x over the interval [0, 3].
› [-
(0) $ √ ₁ + 1 / 4²
1
dx
2x
(d) foº √² dx
(a)
1+
(e) None of these
(d) √(1/x) + (1/x) dx
T
2 Identify the definite integral that represents the arc length of the curve y = 1/x over the interval [1, 3].
[ ✓i + (în x)³ dx
S₁
·S.
(b)
√₁ + 1/x² dx
(c)
(e) None of these
√√T + x dx
(c)
√1 + 1/* dx
231
Transcribed Image Text:SECTION Arc Length and Surfaces of Revolution Arc Length and Surfaces of Revolution Identify the definite integral that represents the arc length of the curve y = √x over the interval [0, 3]. › [- (0) $ √ ₁ + 1 / 4² 1 dx 2x (d) foº √² dx (a) 1+ (e) None of these (d) √(1/x) + (1/x) dx T 2 Identify the definite integral that represents the arc length of the curve y = 1/x over the interval [1, 3]. [ ✓i + (în x)³ dx S₁ ·S. (b) √₁ + 1/x² dx (c) (e) None of these √√T + x dx (c) √1 + 1/* dx 231
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