Provide an appropriate response.Define f(0, 0) in a way that extends f(x, y) =  to be continuous at the origin.

A. f(0, 0) = 0
B. f(0, 0) = 2
C. f(0, 0) = 8
D. f(0, 0) = 16


Answer: C

Mathematics

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Solve for the angle ?, where 0 ? ? ? 2?sin2? = 

A. ? = 0, ?, 2?
B. ? = 
C. ? = 
D. ? = 

Mathematics

Find all the first order partial derivatives for the following function.f(x, y, z) = cos x sin2 yz

A.  = sin x sin2 yz;  = - cos x sin yz cos yz;  = -cos x sin yz cos yz
B.  = -sin x sin2 yz;  = z cos x sin yz cos yz;  = y cos x sin yz cos yz
C.  = -sin x sin2 yz;  = 2z cos x sin yz cos yz ;  = 2y cos x sin yz cos yz
D.  = sin x sin2 yz;  = -2z cos x sin yz cos yz;  = - 2y cos x sin yz cos yz

Mathematics

Solve the problem. Round to the nearest cent.SLM Instruments had a net income of $1,370,000 last year. It was decided to distribute 39% of this money to shareholders. Find the dividend per share if there were 18,000 shares of $180 par value, 12% preferred stock and 314,000 shares of common stock outstanding.

A. Preferred: $9.13 Common: $3.84 B. Preferred: $21.60 Common: $0.46 C. Preferred: $21.60 Common: $3.12 D. Preferred: $3.56 Common: $1.50

Mathematics

Convert the weight as indicated.9750 pounds to tons (Express the answer as a mixed number.)

A. 6 T
B. 9 T
C. 3 T
D. 4 T

Mathematics