Solve the problem.A box with an open top is formed by cutting squares out of the corners of a rectangular piece of cardboard and then folding up the sides. If x represents the length of the side of the square cut from each corner, and if the original piece of cardboard is 12 inches by 10 inches, what size square must be cut if the volume of the box is to be 96 cubic inches? 
A. x = 6 in.
B. x = 8 in.
C. x = 3 in.
D. x = 2 in.
Answer: D
Mathematics
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For the curve r(t), find an equation for the indicated plane at the given value of t.r(t) = (cosh t)i + (sinh t)j + tk; rectifying plane at t = 0.
A. x - y = -1 B. x = 1 C. x - y = 1 D. x = -1
Mathematics
Find 
by using the Chain Rule. Express your final answer in terms of t.w =x2 + xy + y2, x = e2t, y = t
A. 4e4t - 2te2t + 2t B. 4e4t + (2t + 1)e2t + 2t C. 2e4t + (2t + 1)e2t + 4t D. 2e4t + (2t + 1)e2t + 2t
Mathematics
Add.6 + -15 + -11 + 10
A. 22
B. 
C. 10
D. 
Mathematics
Find the magnitude and direction angle (to the nearest tenth) for the given vector. Give the measure of the direction angle as an angle in [0, 360°).
A. 7; 233.1° B. 5; 216.9° C. 5; 53.1° D. 5; 233.1°
Mathematics