Find projv u.v = 3j, u = 4i + 3k
A. i +
j +
k
B. j
C. 0
D. i +
j
Answer: C
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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xyi + yzj + xzk , S is the surface of the rectangular prism formed from the coordinate planes and the planes x = 1, y = 4, and z = 1, direction away from the origin
A. 6 B. 2 C. 24 D. 12
Provide an appropriate response. Solve for x by completing the square: x2 + 6x = 30
A. 13, 10 B. 1.62, 4.62 C. 3.24, -9.24 D. 6.49, 3.49
Factor out the greatest common factor.40m7 + 24m5 - 32m2
A. 8(5m7 + 3m5 - 4m2) B. 8m2(5m5 + 3m3 - 4) C. m2(40m5 + 24m3 - 32) D. No common factor
Find the composite function for the given functions.f ? g for f(x) = 4x + 5 and g(x) = -2x + 4
A. -8x + 14 B. -8x + 21 C. 8x + 21 D. -8x