Find the second-order partial derivative.Find fxy when f(x,y) = 8x3y - 7y2 + 2x.
A. -14
B. -28
C. 24x2
D. 48xy
Answer: C
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Simplify using order of operations.-5 + [(2)(-4) - (-11)]3
A. 53 B. 867 C. -813 D. -973
Find the perimeter and area of the figure.A rectangle 3 in. by 9 in.
A. P = 24 in., A = 27 in.2 B. P = 12 in., A = 54 in.2 C. P = 12 in., A = 27 in.2 D. P = 12 in., A = 54 in.2
Provide an appropriate response.A normal random variable X has mean 40 and standard deviation 16. Find the area under the normal curve above the interval 16-60.
A. 0.8089 B. 0.8962 C. 0.7324 D. 0.8276
Solve the problem.A steel can in the shape of a right circular cylinder must be designed to hold 600 cubic centimeters of juice (see figure). It can be shown that the total surface area of the can (including the ends) is given by S(r) = 2?r2 + , where r is the radius of the can in centimeters. Using the TABLE feature of a graphing utility, find the radius that minimizes the surface area (and thus the cost) of the can. Round to the nearest tenth of a centimeter.
A. 4.6 cm B. 5.8 cm C. 0 cm D. 3.8 cm