Solve the problem.A bird flies from its nest 2 km in the direction 1° north of east, where it stops to rest on a tree. It then flies 5 km in the direction 3° south of west and lands atop a telephone pole. With an xy-coordinate system where the origin is the bird's nest, the x-axis points east, and the y-axis points north, at what point is the telephone pole located?
A. (-4.993, -0.2617)
B. (2.000, 0.03490)
C. (-2.993, -0.2268)
D. (6.031, -1.019)
Answer: C
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Find the limit.
A.
B. 0
C. 1
D.
Solve the problem.The delivery of a drug (such as an antibiotic) through an intravenous line may be modeled by the differential equation where m(t) is the mass of the drug in the blood at time
k is a constant that describes the rate at which the drug is absorbed, and I is the infusion rate. Let
and
For what initial values
src="https://sciemce.com/media/4/ppg__wesa0610191635__f1q75g5.jpg" alt="" style="vertical-align: -4.0px;" /> are solutions increasing? decreasing? What is the equilibrium solution? A. increasing for A > 125 and decreasing for A < 125; m(t) = 125 B. increasing for A < 125 and decreasing for A > 125; m(t) = 125 C. increasing for A < 125 and decreasing for A > 125; m(t) = 0 D. increasing for A > 125 and decreasing for A < 125; m(t) = 0
Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 > 64
A. All points outside the cylinder with radius 8 B. All points in space C. All points outside the sphere of radius 8 D. All points on the surface of the cylinder with radius 8
Solve the problem.Find the sum of the first 551 positive integers.
A. 151525 B. 303,601 C. 152076 D. 304,152