Calculate the flux of the field F across the closed plane curve C.F = (x+y)i + xyj; the curve C is the closed counterclockwise path around the rectangle with vertices at
and 
A. 133
B. 21
C. 84
D. 140
Answer: C
Mathematics
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Find the gradient ?f.f(x, y, z) = xyz ln (x + y)
A. yz ln (x + y)i + xz ln (x + y)j + k
B. i +
j +
k
C. i +
j + xy ln (x +y)k
D. i +
j + z ln (x + y)k
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Use Taylor series to evaluate the limit.
A. 3 B. 24 C. 39 D. 18
Mathematics
Use the graph to find a ? > 0 such that for all x, 0 < < ? ?
< ?.
A. 0.4375 B. 2 C. 1 D. 0.5625
Mathematics
Solve using any appropriate method. If the system has an infinite number of solutions, use set-builder notation to write the solution set. If the system has no solution, state this.3x + 5y = 23x + 5y = 8
A. (3, 5) B. (1, 1) C. No solution D. {(x, y)|3x + 5y = 2}
Mathematics