Write the trigonometric expression as an algebraic expression containing u and v.sin(tan-1 u + tan-1 v)

A.
B.
C.  
D.


Answer: D

Mathematics

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Find the gradient field F of the function f.f(x, y, z) = (x4y2 - y8z3)e-z2

A. F = 4x3i + (8y7 - 2y)j + 2z4e-z2k B. F = 4x3y2i + (8y7z3 - 2x4y)j + (2z2 - 3)y8z2k C. F = 4x3y2e-z2i + (2x4y - 8y7z3)e-z2j + (3 - 2z2)y8z2e-z2k D. F = 4x3y2e-z2i + (2x4y - 8y7z3)e-z2j + y2ze- z2[y6z(2z2 - 3) - 2x4]k

Mathematics

Solve the problem.Doctor Jim has the following aged patients at his clinic: 15, 1, 21, 15. What is the average age of his patients?

A. 13 B. 21 C. 1 D. 12

Mathematics

Use a vertical shift to graph the function.y = -4 cos x - 2 

A.

B.

C.

D.

Mathematics

Solve the problem by estimating.As part of her preparation for softball tryouts, Pat did 59 leg lifts each day for 53 days. Estimate how many leg lifts she did during that period. Round the number of leg lifts and the number of days to the to the nearest ten.

A. 1000 leg lifts B. 3000 leg lifts C. 10,000 leg lifts D. 30,000 leg lifts

Mathematics