Factor completely. If the polynomial is prime, say so.y3 - 27
A. (y - 3)(y2 - 9)
B. (y - 3)(y2 + 3y + 9)
C. (y + 3)(y2 - 3y - 9)
D. (y - 3)(y2 + 3y - 9)
Answer: B
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Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
? y = x2 y = 
A. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 
, f(x) is not differentiable at 
B. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 2, f(x) is not differentiable at 
C. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 1, f(x) is not differentiable at 
D. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 2, f(x) is differentiable at 
Solve.If a piston measures 7.645 cm in diameter and it must fit into a bore measuring 7.561 cm in diameter with a clearance of 0.0075 cm all around, by how much must the piston's diameter be reduced?
Fill in the blank(s) with the appropriate word(s).
Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.sec ? = - 
, csc ? > 0Find sin(2?).
A. 
B. 
C. - 
D. 
Solve the problem.A projectile is fired with an initial velocity of 500 feet per second at an angle of 45° with the horizontal. In how many seconds will the projectile strike the ground? (Round your answer to the nearest tenth of a second.) The parametric equations for the path of the projectile are x = (500 cos 45°)t, and y = (500 sin 45°)t - 16t2.
A. 18.7 sec B. 26.9 sec C. 30.2 sec D. 22.1 sec