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 x-axis.x = 6y - y2, x = 0
A. 432?
B. 36?
C. 216?
D. 108?
Answer: C
Mathematics
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Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5
A. 
= 2yex2; 
= 2x; 
= 
= 2xex2
B. 
= 2yex2; 
= 2x; 
= 
= 2y + 2xex2
C. 
= 2yex2(1 + 2x2); 
= 2x; 
= 
= 2y + 2xex2
D. 
= yex2(1 + 2x2); 
= x; 
= 
= y + xex2
Mathematics
Multiply. Change any mixed number to an improper fraction before multiplying.8 ? 8
A. 64
B. 67
C. 67
D. 16
Mathematics
Use the order of operations to simplify the expression.
? 
? 
A. 2
B. 
C. 
D. 1
Mathematics
The middle term of the trinomial has been rewritten. Now factor by grouping.y2 + 6y + 4y + 24
A. (y + 6)(y + 4) B. (y + 6)(y - 4) C. y(y + 34) D. (y - 6)(y - 4)
Mathematics