Solve the problem.If f(?) = cot ? and f(a) = -4, find the exact value of f(a) + f(a + ?) + f(a + 3?).

A. -4
B. -12 + 4?
C. -12
D. undefined


Answer: C

Mathematics

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Using Green's Theorem, find the outward flux of F across the closed curve C.F = xyi + xj; C is the triangle with vertices at (0, 0), (8, 0), and (0, 6)

A. - 40 B. 0 C. 48 D. 88

Mathematics

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Vertices at (0, 4) and (0, -4); asymptotes y = x and y = - x

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.

A. f(8, 0) = -4, local minimum; f(0, 8) = -4, local minimum B. f(8, 8) = 8188, local maximum C. f(0, 0) = -4, saddle point; f(8, 8) = 8188, local maximum D. f(0, 0) = -4, test is inconclusive

Mathematics

Provide an appropriate response.Normally, the largest deduction from an employee's paycheck is for:

A. Medicare tax B. Social Security tax C. federal income tax withholding D. withholding allowance

Mathematics