Use cylindrical coordinates to find the volume of the indicated region.the region bounded by the cylinders 
and the planes 
A. 360?
B. 180?
C. 720?
D. 540?
Answer: B
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Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. ln 
- 
+ C
B. ln 
- 
tan-1 
- 
+ C
C. - 
tan-1 
- 
+ C
D. ln 
- 
tan-1 
+ C
Find all the first order partial derivatives for the following function.f(x ,y, z) = (sin xy)(cos yz2)
A. 
= (y cos xy)(cos yz2); 
= (z2 sin xy)(sin yz2)- (x cos xy)(cos yz2); 
= 2(yz sin xy)(sin yz2)
B. 
= (y cos xy)(cos yz2); 
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); 
= 2(yz sin xy)(sin yz2)
C. 
= (y cos xy)(cos yz2); 
= (x cos xy)(cos yz2); 
= -2(yz sin xy)(sin yz2)
D. 
= (y cos xy)(cosyz2); 
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); 
= -2(yz sin xy)(sin yz2)
Solve the system by graphing.
x - 
y = 5
x + 
y = 12
A. (3, 4) B. (3, 1) C. (4, -3) D. (4, 3)
Write the phrase as a mathematical expression. Use x as the variable.The quotient of some number and 70
A. 70x
B. 70 + x
C. 70 - x
D. 