An open rectangular box having a volume of 62.5in3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
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Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that
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Minimize f(x, y)
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x = __________
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y = __________
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z = __________
What will be an ideal response?
5; 5; 2.5
Mathematics
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Write a linear inequality for the situation described.Jake needs at least $1100 to buy a computer. He earns $9 per hour at Job A and $5 per hour at Job B. Jake buys a computer with pay received for x hours at Job A and y hours at Job B.
A. 9x + 5y = 1100 B. 9x + 5y ? 1100 C. 9x + 5y ? 1100 D. 9x + 5y ? 0
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Find dy/dx by implicit differentiation.
= x2 + y2
A. 
B. 
C. 
D. 
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Factor out the greatest common factor. Simplify the factors, if possible.t(8 - m) + s(8 - m)
A. (t - s)(8 - m) B. (t + s)(8 - m) C. (t + s)(8 + m) D. t(8 - m) + s
Mathematics