Find the flux of the curl of field F through the shell S.F = x4i + 4xj + 8k; S is the upper hemisphere of x2 + y2 + z2 = 64

A. 64
B. 64?
C. ?
D. 256?


Answer: D

Mathematics

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Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ? L(x, y) at the given point over the given region R. at ; R: |x + 8| ? 0.1, |y - 6| ? 0.1

A. |E| ? 0.04 B. |E| ? 0.02 C. |E| ? 0.01 D. |E| ? 0

Mathematics

Add or subtract as indicated. Simplify if necessary.  +  

A.
B.
C. 1
D.

Mathematics

The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).g(x) = f(-2x); (4, -2)

A.
B.
C. (-8, -2)
D. (8, 2)

Mathematics

Match the graph of the rational function with its equation.

A. f(x) = 
B. f(x) = 
C. f(x) = 
D. f(x) = 

Mathematics