The graph of y = ax2 + bx + c is given in the figure. Determine whether the discriminant is positive, negative, or zero.
A. Negative
B. Positive
C. Zero
Answer: B
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Evaluate the iterated integral.
A. - 37 B. - 888 C. - 148 D. - 222
Find the area of the shaded region.
A. ? + 2 B. ? C. ? - 2 D. 2
Solve the problem.A radio telescope has the shape of a parabolic dish, whose cross section can be modeled by 
where -94 ? y ? 94 and the units are feet. Find the depth d of the dish.
A. 2726 ft B. 29 ft C. 8836 ft D. 841 ft
An open box is to be constructed from a piece of cardboard 24 cm by 35 cm by cutting squares of side length x from each corner and folding up the sides, as shown in the figure.
?
?
(a) Express the volume V of the box as a function of x.
?
__________
?
(b) What is the domain of V? (Use the fact that length and volume must be positive.)
?
__________ < x< __________
?
(c) Draw a graph of the function V and use it to estimate the maximum volume for such a box. Please round the answer to the nearest whole number.
?
__________ cm3
What will be an ideal response?