Determine where the given function is concave up and where it is concave down. f(x) = x3 + 3x2 - x - 24
A. Concave down on (-?, -1) and (1, ?), concave up on (-1, 1)
B. Concave up on (-?, -1), concave down on (-1, ?)
C. Concave down for all x
D. Concave up on (-1, ?), concave down on (-?, -1)
Answer: D
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Find fx, fy, and fz.f(x ,y, z) = sin (xy) cos (yz2)
A. fx = y cos (xy) cos (yz2); fy = z2 sin (xy) sin (yz2)- x cos (xy) cos (yz2); fz = 2yz sin (xy) sin (yz2) B. fx = y cos (xy) cos (yz2); fy = x cos (xy) cos (yz2) - z2 sin (xy) sin (yz2); fz = -2yz sin (xy) sin (yz2) C. fx = y cos (xy) cos (yz2); fy = x cos (xy) cos (yz2) - z2 sin (xy) sin (yz2); fz = 2yz sin (xy) sin (yz2) D. fx = y cos (xy) cos (yz2); fy = x cos (xy) cos (yz2); fz = -2yz sin (xy) sin (yz2)
Simplify. 
A. - 
B. 
C. - 
D. 
Solve the equation and check the solution.0.6x - 0.5(70 + x) = -0.4(70)
A. x = 60 B. x = 80 C. x = 70 D. x = 35
Subtract.-4 - (-18)
A. -14 B. -4 C. 14 D. -22