Solve the problem.For the triangle with vertices located at A(3, 5, 3), B(4, 3, 3), and C(1, 1, 1) , find a vector from vertex C to the midpoint of side AB.

A. i + j + k
B. i + 3j + 2k
C. i + 5j + 4k
D. i + 4j + 3k


Answer: B

Mathematics

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Evaluate the work done between point 1 and point 2 for the conservative field F.F = (y + z)i + xj + xk; P1(0, 0, 0), P2(8, 4, 10)

A. W = -48 B. W = 0 C. W = 112 D. W = 32

Mathematics

Use the given transformation to evaluate the integral.     Rwhere R is the parallelepiped bounded by the planes   

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A. 4
B. 9
C. 18
D. 2

Mathematics

For the given pair of variables determine whether a is a function of b, b is a function of a, both, or neither.a is the number of years of formal education of an adult living in the United States, and b is his or her age in years.

A. a is a function of b B. Neither C. b is a function of a D. Both

Mathematics

Perform the indicated operation(s), whenever possible.Let A = , B =  and C = . Find A + B - C.

A.

B.

C.

D.

Mathematics