Solve the problem.A rectangular piece of cardboard measuring 20 inches by 50 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.
A. 18.93 in.
B. 22.07 in.
C. 4.4 in.
D. 37.86 in.
Answer: C
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Provide an appropriate response.Consider the quartic function f(x) = ax4 + bx3 + cx2 + dx + e, a ? 0. Must this function have at least one critical point? Give reasons for your answer. (Hint: Must 
for some x?) How many local extreme values can f have?
What will be an ideal response?
Solve the problem.A rectangle with sides parallel to the axes is inscribed in the region bounded by the axes and the line 
Find the maximum area of this rectangle.
A. 
B. 
C. 
D. 
Use implicit differentiation to find the specified derivative at the given point.Find 
at the point (1, 2, e5) for ln(xz)y + 3y3 = 0.
A. 
B. - 
C. 
D. - 
Find the value of the expression.(7 + 7)[7 + (5 + 6)]
A. 882 B. 1813 C. 91 D. 252