Write each pair of terms as like radicals, if possible.
, 
A. 
, 4
B. 
, 2
C. 5
, 5
D. Not possible
Answer: D
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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = 2x3i + 2y3j + 2z3k ; D: the thick sphere 16 ? x2 + y2 + z2 ? 36
A. 162,048?
B. 
?
C. 912?
D. 
?
Simplify the square root.
A. 7.937
B. 3
C. 9
D. This expression is already simplified.
Find all the first order partial derivatives for the following function.f(x,y,z) = xe(x2 + y2 + z2)
A. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xy2e(x2 + y2 + z2); 
= xz2e(x2 + y2 + z2)
B. 
= (1 + 2x2) e(x2 + y2 + z2); 
= 2xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
C. 
= 2x2e(x2 + y2 + z2); 
= xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
D. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xe(x2 + y2 + z2); 
= xe(x2 + y2 + z2)
Provide an appropriate response.The difference between the length of a ramp and the length of the horizontal distance it covers is 4 feet. The square of the vertical distance it covers is 56 feet. What is the length of the ramp?
Fill in the blank(s) with the appropriate word(s).