A piece of cardboard measures 10 in. by 15 in. Two equal squares are removed from the
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A piece of cardboard measures 10 in. by 15 in. Two equal squares are removed from the corners of a 10-in. side as shown in the figure. Two equal rectangles are removed from the other corners so that the tabs can be folded to form a rectangular box with lid.
a. Write a formula V(x) for the volume of the box.
b. Find the domain of V for the problem situation and graph V over this domain.
c. Use a graphical method to find the maximum volume and the value of x that gives it.
d. Confirm your result in part (c) analytically.
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ANSWER a To find the volume of the box we need to find the area of the base and multiply it by the h...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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