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.
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(a) Express the volume V of the box as a function of x.
?
__________
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(b) What is the domain of V? (Use the fact that length and volume must be positive.)
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__________ < x< __________
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(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.
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__________ cm3
What will be an ideal response?
0; 12; 1757You might also like to view...
Use L'H
pital's rule to find the limit.
A. ?
B. 0
C. 7
D. 
Find the nth term an of the geometric sequence.8, 16, 32, 64, 128, . . .
A. an = (8)(2n) B. an = (8)(2)n C. an = (8)(2)n-1 D. an = a1 + 2n
If ?A to the nearest tenth of a degree if tan A = 2.1622. Round the answer to one decimal place.
(a) 82.4° (b) 67.9° (c) 43.1° (d) 65.2°
Find the relative extrema and points of inflection of the function. List your answers in terms of ordered pairs. Then sketch a graph of the function.
