Simplify the numerical expression.
A.
B.
C.
D.
E.
Answer: C
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Find all the first order partial derivatives for the following function.f(x ,y, z) = (sin xy)(cos yz2)
A. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (z2 sin xy)(sin yz2) - (x cos xy)(cos yz2); fz(x, y) = 2(yz sin xy)(sin yz2) B. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); fz(x, y) = -2(yz sin xy)(sin yz2) C. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2); fz(x, y) = -2(yz sin xy)(sin yz2) D. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); fz(x, y) = 2(yz sin xy)(sin yz2)
Write the number as the product of a real number and i.
A. i
B.
C. -i
D. i
Use a computer algebra system to compute the flux of F across S. S is the surface of the cube cut from the first octant by the planes
Evaluate the function at the indicated value of . Round your result to three decimal places.
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Function Value
?
A.
B.
C.
D.
E.