y = 4 - x2 for x :[ -1, 1), is

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 28AR: Determine the arc length from point C to point D on the template shown.
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4. Please help me answer this calculus problem. Include as much steps as possible :)

4. The curve y = v 4 - x- for x :-1, 1), is an arc of the circle x2 + y²
= 4.
a) Find the arc length for x:[ -1, 1].
b) Find the area of the surface obtained by rotating the arc about the X-axis for
x:[-1, 1).
Exact answer:
a).
b).
Transcribed Image Text:4. The curve y = v 4 - x- for x :-1, 1), is an arc of the circle x2 + y² = 4. a) Find the arc length for x:[ -1, 1]. b) Find the area of the surface obtained by rotating the arc about the X-axis for x:[-1, 1). Exact answer: a). b).
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