5. Find the center of mass of a semicircular plate of radius r. Exact answer with Pi: 6. Solve the differential equation dy = x y dx that satisfies the initial condition y(1) = e. Exact answer with the fraction y =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. Please help me answer only number 5 and 6 of this question. Thank you :)

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).
5. Find the center of mass of a semicircular plate of radius r.
Exact answer with Pi:
6. Solve the differential equation dy = x y dx that satisfies the initial condition
y(1) = e.
Exact answer with the fraction y =.
Transcribed Image Text:5. Find the center of mass of a semicircular plate of radius r. Exact answer with Pi: 6. Solve the differential equation dy = x y dx that satisfies the initial condition y(1) = e. Exact answer with the fraction y =.
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