Solve the problem.If P dollars are invested at an annual interest rate of r compounded n times a year, then the accumulated amount after t years is given by A = P
nt.Find the Taylor polynomial of degree 2 at r = 0 for f(r) = P
nt.
A. P + Ptr +
Ptr2
B. 1 + Ptr - Ptr2
C. P + Ptr +
Ptr2
D. P + Ptr + Ptr2
Answer: D
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Plot the point in a polar coordinate system.
A.
B.
C.
D.
Evaluate the expression.
?
?
A. 5 B. 2 C. 7 D. 3 E. 6
Solve the problem.A toy rocket is shot vertically upward from the ground. Its distance in feet from the ground in t seconds is given by . At what time(s) will the ball be
from the ground? Round your answer to the nearest tenth of a second.
A. 1.0 sec and 9.9 sec B. 10.9 sec C. 169.8 sec and 180.2 sec D. 5.5 sec
Solve the problem.A projectile is fired from a cliff 300 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 300 feet per second. The height h of the projectile above the water is given by where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?
A. 703.13 ft B. 1003.13 ft C. 2409.38 ft D. 1406.25 ft