T In the closed interval 0≤x≤3, if h(x) = k·cos -x, for what value of k does the region bounded by f(x)=6+√9-x² and the line y = 6 have the same area as that bounded by h(x) and the x-axis?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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In the closed interval 0 ≤x≤ 3, if h(x)= k cos
f(x)=6+√9-x²
a.
104
8
co
C.
6
4
Select one:
1133
2
.O b. 3π²
4
55100
3
8
O d. 377²
8
f(x)
h(x)
・COS X).
and the line y = 6 have the same area as that bounded by h(x) and the x-axis?
2
4
6
X
for what value of k does the region bounded by
Transcribed Image Text:In the closed interval 0 ≤x≤ 3, if h(x)= k cos f(x)=6+√9-x² a. 104 8 co C. 6 4 Select one: 1133 2 .O b. 3π² 4 55100 3 8 O d. 377² 8 f(x) h(x) ・COS X). and the line y = 6 have the same area as that bounded by h(x) and the x-axis? 2 4 6 X for what value of k does the region bounded by
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