Solve the problem.A farmer has 780 m of fencing. Find the dimensions of the rectangular field of maximum area that can be enclosed by this amount of fencing.
A. 78 m by 312 m
B. 195 m by 195 m
C. 195 m by 585 m
D. 185 m by 205 m
Answer: B
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Evaluate the integral.
A. - sin-1
+ C
B. - 4 ln
+ C
C. + 4 ln
+ C
D. -sin-1 -
+ C
Write an equation of the line.
A. y = -2x + 3
B. y = -2x
C. y = 3
D. y = - x + 3
Solve the problem.The velocity of a body of mass m falling from rest under the action of gravity is given by the equation where k is a constant that depends on the body's aerodynamic properties and the density of the air, g is the gravitational constant, and t is the number of seconds into the fall. Find the limiting velocity, limt?? v, of a 170 lb. skydiver (mg = 170) when k = .006.
A. 53.23 ft/sec B. There is no limiting speed. C. 0.01 ft/sec D. 168.33 ft/sec
Decide whether the equation describes a function.y = 5x + 5
A. yes B. no