Find the average value of the function f over the given region.f(x, y) = e5x over the square 0 ? x ? , 0 ? y ? .

A.
B.
C. 2e - 1
D. e - 1


Answer: D

Mathematics

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A system of nonlinear equations is given. Sketch the graph of the equation of the system and then determine the number of real solutions to the system. Do not solve the system.x2 + y2 = 252y + x = 5

A. Two

B. Two

C. One

D. Zero

Mathematics

Solve the problem.The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters). The linear model for this data is  where x is temperature and y is growth in millimeters. Use this model to predict the growth of a plant if the temperature is 57. 

A. 27.54 mm B. 25.43 mm C. 27.08 mm D. 26.63 mm

Mathematics

P(3.2 ? X ? 5.7); X is Uniform(5, 21).

Find the probability for the given random variable.

Mathematics

Simplify. Be sure to rationalize the denominator. Assume that all variables represent positive real numbers.

A. -1
B.
C. -30 
D.

Mathematics