From a thin piece of cardboard 108 in. by 108 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume?

What will be an ideal response?


72 in. by 72 in. by 18 in.; 93,312 in3

Mathematics

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Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the . y = x2 + 1, y = 4x + 1

A. ?
B. ?
C. 64?
D. ?

Mathematics

Determine the slope and the y-intercept for the linear equation. Graph the line.x = -5

A. m = - , y-intercept: (0, 0)

B. m is undefined, no y-intercept


C. m = 0, y-intercept: (0, -5)

D. m = -5, y-intercept: (0, 0)

Mathematics

Add or subtract. Assume all variables represent positive real numbers.4  + 14

A. 18 
B. 18
C. 10
D. 18

Mathematics

Find an equation of variation for the given situation.y varies jointly as x and p and inversely as the square of s, and  when   and

A. y = 
B. y = 11xps2
C. y = 
D. y = 

Mathematics