Draw a graph to match the description. Answers will vary.g(x) is concave up at (-5, 12), concave down at (5, -15), and has an inflection point at (4, -3).
What will be an ideal response?
Answers will vary.
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Solve the problem.Find the center of mass of the region of constant density bounded by the paraboloid 
and the xy-plane.
A. 
= 0, 
= 0, 
= 
B. 
= 0, 
= 0, 
= 
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 
Find the minimum y-value on the graph of y = f(x). f(x) = x2 - 10x
A. -25 B. -5 C. 25 D. 5
Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.- 
A. Rational, -11.358 B. Irrational, -11.358 C. Irrational, 11.358 D. Not a real number
Solve the problem.Find the dimensions of a box with largest volume if it lies in the first octant, three of its faces lie in the coordinate planes, and the box lies beneath (or touching) the ellipsoid with equation 
A. 
by 
by 
B. 1 by 
by 
C. 
by 2
by 
D. 3
by 4
by 7