A calculator may be used on the following questions. The base of a solid is bounded by y = tan²x and y = 4-x² in the xy-plane, as shown in the figure below. Each cross section perpendicular to the x-axis is a rectangle with one side in the xy-plane and whose height is 2. What is the volume of the solid?

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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A calculator may be used on the following questions.
The base of a solid is bounded by y = tan²x and y = 4-x² in the xy-plane, as shown in the figure
below. Each cross section perpendicular to the x-axis is a rectangle with one side in the xy-plane and
whose height is 2. What is the volume of the solid?
Select one:
a.
3.121
O b.
4.454
O c.
6.243
O d. 12.486
Check
y=4-)
y
y = tan³x
Transcribed Image Text:A calculator may be used on the following questions. The base of a solid is bounded by y = tan²x and y = 4-x² in the xy-plane, as shown in the figure below. Each cross section perpendicular to the x-axis is a rectangle with one side in the xy-plane and whose height is 2. What is the volume of the solid? Select one: a. 3.121 O b. 4.454 O c. 6.243 O d. 12.486 Check y=4-) y y = tan³x
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