Solve the quadratic equation using the quadratic formula.2x2 + 12x + 5 = 0
A. 
B. 
C. 
D. 
Answer: A
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Find the center of mass of a thin plate covering the given region with the given density function.The region between the x-axis and the curve y = 
, 1 ? x ? 2, with density ?(x) = 
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = x2 + y2; R = {(x, y): 0 ? x ? 1, 0 ? y ? 1}
A. 
B. 
C. 
D. 
Solve the problem.A baseball pitcher throws a baseball with an initial speed of 128 feet per second at an angle of 20° to the horizontal. The ball leaves the pitcher's hand at a height of 4 feet. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the maximum height of the ball?
A. x = 120.28t, y = -16t2 + 43.78t + 4 5.65 sec, 1.368 sec, 29.948 feet B. x = 120.28t, y = -16t2 + 43.78t + 4 2.642 sec, 1.368 sec, 3.984 feet C. x = 120.28t, y = -16t2 + 43.78t + 4 5.283 sec, 1.368 sec, 243.586 feet D. x = 120.28t, y = -16t2 + 43.78t + 4 2.825 sec, 1.368 sec, 33.948 feet
Find the x- and y-intercepts of f.f(x) = (x - 2)(x - 6)
A. x-intercepts: -2, -6; y-intercept: 12 B. x-intercepts: 2, 6; y-intercept: -8 C. x-intercepts: -2, -6; y-intercept: -8 D. x-intercepts: 2, 6; y-intercept: 12