1 R 5. Let R be the region in the first quadrant enclosed by the graph of f(x) = us 元 the vertical line x = as shown in the figure above. 2 = √cos x, the graph of g(x) = e*, and (a) Write, but do not evaluate, an integral expression that gives the area of R.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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1
R
5. Let R be the region in the first quadrant enclosed by the graph of f(x) = √cos x, the graph of g(x) = e*, and
ks
I
the vertical line x = as shown in the figure above.
2
(a) Write, but do not evaluate, an integral expression that gives the area of R.
Transcribed Image Text:1 R 5. Let R be the region in the first quadrant enclosed by the graph of f(x) = √cos x, the graph of g(x) = e*, and ks I the vertical line x = as shown in the figure above. 2 (a) Write, but do not evaluate, an integral expression that gives the area of R.
(b) Find the volume of the solid generated when R is revolved about the x-axis.
4
(c) Region R is the base of a solid whose cross sections perpendicular to the x-axis are semicircles with
diameters on the xy-plane. Write, but do not evaluate, an integral expression that gives the volume of this
solid.
Transcribed Image Text:(b) Find the volume of the solid generated when R is revolved about the x-axis. 4 (c) Region R is the base of a solid whose cross sections perpendicular to the x-axis are semicircles with diameters on the xy-plane. Write, but do not evaluate, an integral expression that gives the volume of this solid.
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