Solve the problem.A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 90 in. Suppose you want to mail a box with square sides so that its dimensions are  and it's girth is  What dimensions will give the box its largest volume?

A. 15 in. x 15 in. x 30 in.
B. 30 in. x 15 in. x 30 in.
C. 20 in. x 20 in. x 15 in.
D. 15 in. x 15 in. x 75 in.


Answer: C

Mathematics

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Using Green's Theorem, find the outward flux of F across the closed curve C.F = (-y - ey cos x)i + (y - ey sin x)j ; C is the right lobe of the lemniscate r2 = cos 2? that lies in the first quadrant.

A. 0
B.
C.
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Graph the polynomial function. Use synthetic division and the remainder theorem to find the zeros.f(x) = x3 + 4x2 - 3x - 18

A. -3, 3, 2;

B. 3 (multiplicity 2), 2;

C. -3 (multiplicity 2), 2;

D. -2 (multiplicity 2), 2;

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Evaluate.-  ÷ 

A. - 
B.  
C.  
D. -  

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Determine the value of the limit.f(x) , where f(x) = 

A. 0 B. 1 C. -2 D. ?

Mathematics