20. Find the area of the region between the curve y sin x and y = cos x from 0 to π/2. a. 0.414 b. 0.828 c. 1.656 d. 3.312

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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20. Find the area of the region between the curve y = sin x and y = cos x from 0 to π/2.
b. 0.828
a. 0.414
c. 1.656
21. Determine the volume when the area bounded by the equation 4x² +9y² = 36 and the x-axis in the first
and second quadrant is rotated about the x-axis.
b. 12
a. 24m
c. 16
d. 32n
d. 3.312
22. The position function of a particle moving on a straight line is s(t) = 2t3 - 10t2 +5. Find the acceleration
at t = 1.
a. 6
b. -6
d. -8
23. Find the perimeter of the polar curve r = 4 sin 0.
a. 4π
b. 8π
c. 8
c. 16
d. 2π
24. A helical spring with a modulus of 100 N/cm has a natural length of 1 m. How much work is required to
compress the spring from a length of 80 cm to 60 cm?
a. 600 N.m
b. 1400 N.m
c. 1000 N.m
d. 800 N.m
Transcribed Image Text:20. Find the area of the region between the curve y = sin x and y = cos x from 0 to π/2. b. 0.828 a. 0.414 c. 1.656 21. Determine the volume when the area bounded by the equation 4x² +9y² = 36 and the x-axis in the first and second quadrant is rotated about the x-axis. b. 12 a. 24m c. 16 d. 32n d. 3.312 22. The position function of a particle moving on a straight line is s(t) = 2t3 - 10t2 +5. Find the acceleration at t = 1. a. 6 b. -6 d. -8 23. Find the perimeter of the polar curve r = 4 sin 0. a. 4π b. 8π c. 8 c. 16 d. 2π 24. A helical spring with a modulus of 100 N/cm has a natural length of 1 m. How much work is required to compress the spring from a length of 80 cm to 60 cm? a. 600 N.m b. 1400 N.m c. 1000 N.m d. 800 N.m
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