Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 2yi + 8xj + z3k; C: the counterclockwise path around the perimeter of the triangle in the x-y plane formed from the x-axis, y-axis , and the line y = 5 - 3x
A. - 50
B. 50
C. 25
D. 5
Answer: C
Mathematics
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Find the product.8x5(-8x6 + 8x5 + 5)
A. -64x11 + 64x10 + 40x5 B. -64x6 + 64x5 + 40 C. -64x11 + 64x10 D. -64x11 + 8x5 + 5
Mathematics
For the pair of functions, perform the indicated operation.f(x) = 3x + 8, g(x) = 4x + 6Find (f ? g)(x).
A. 12x2 + 50x + 48 B. 7x2 + 50x + 14 C. 12x2 + 48 D. 12x2 + 38x + 48
Mathematics
Change the polar coordinates (r, ?) to rectangular coordinates (x, y).(4, 225°)
A. (-2, -2)
B. (-2, -2)
C. (2, 2)
D. (2, 2)
Mathematics
For the given f(x) and g(x), evaluate the expression.f(x) = , g(x) =
;
(f - g)(x)
A. 3
B. 21
C. 3x
D. 3
Mathematics