Solve the problem.You have 64 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.

A. length: 32 feet, width: 32 feet
B. length: 16 feet, width: 16 feet
C. length: 32 feet, width: 16 feet
D. length: 48 feet, width: 16 feet


Answer: C

Mathematics

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Find the equation of the line described. Write the equation in slope-intercept form, if possible.(3, 3); slope = - 

A. y = - x - 
B. y = x - 
C. y = - x + 
D. y = - x - 7

Mathematics

Sketch the graph of the function.y =  - 2 sin 3x

A.

B.

C.

D.

Mathematics

Solve the system.x2 + 4xy + 2y2 = 1x2 - 4xy - 2y2 = 1

A. {(1, 0), (-1, 0), (1, -2), (-1, 2)} B. {(1, 1), (-1, -1), (1, -2), (-1, 2)} C. {(1, 0), (1, 1)} D. {(1, -2), (-1, 2)}

Mathematics

Solve the problem.Wildlife management personnel use predator-prey equations to model the populations of certain predators and their prey in the wild. Suppose the population M of a predator after t months is given by M = 750 + 125 sin twhile the population N of its primary prey is given by N = 12,250 + 3050 cos tFind the period for each of these functions.

Fill in the blank(s) with the appropriate word(s).

Mathematics