Calculate the work done by the force F along the path C.F = xyi + 4j + 8xk; C: r(t) = cos 7ti + sin 7tj  + tk, 0 ? t ? 

A. W = 
B. W = 
C. W = 0
D. W = 


Answer: D

Mathematics

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Evaluate the integral.

A. -  cos (3x - 6) + C
B. - cos (3x - 6) + C
C. 3 cos (3x - 6) + C
D.  cos (3x - 6) + C

Mathematics

Solve the system of equations using the addition method.

A. (2, 1) B. (2, 0) C. (1, 1) D. No solution

Mathematics

Find the maximum and minimum values of the objective function f subject to the stated constraints.f = 6x + 8y, subject to2x + 4y ? 12,2x + y ? 8,0 ? x ? 6,0 ? y ? 4.

A. Maximum: 68; Minimum: 30
B. Maximum: 44; Minimum: 30
C. Maximum: 68; Minimum: 0
D. Maximum: 30; Minimum: 0

Mathematics

Solve using the quadratic formula.x2 - 12x + 32 = 0

A. x = 28, 4
B. x = -8, -4
C. x = , -1
D. x = 8, 4

Mathematics