Rewrite the given integral so that it fits the form 
, and identify u, du, and n.
A. 
; u = 1 + cos x, du = sin x dx, n = 
B. -
; u = cos x, du = -sin x dx, n = 
C. -
; u = 1 + cos x, du = -sin x dx, n = 
D. 
; u = sin x, du = (1 + cos x)1/2 dx, n = 1
Answer: C
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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 50 - x2, y = x2, x = 0
A. 
?
B. 1250?
C. 
?
D. 625?
Solve.3(2z - 3) = 5(z + 3) + z
A. 6 B. 24 C. All real numbers D. No solution
Solve the problem.A surveyor measured the length of a piece of land at 100-ft intervals (x), as shown in the table. Use the trapezoidal rule to estimate the area of the piece of land in square feet.
A. 24,500 ft2 B. 24,000 ft2 C. 25,000 ft2 D. 29,500 ft2
Differentiate.y = e6 - 6x
A. -6e6 - 6x B. e-6 C. 6e6 - 6x D. -6 ln (6 - 6x)