Use an analytic method to solve the equation.
= 8
A. {8}
B.
C.
D. {64}
Answer: A
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Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is . What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?
A. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 B. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2 C. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2 D. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
Find the differential of the function.
?
?
A.
B.
C.
D.
Solve the problem.A domed ceiling is a parabolic surface. For the best lighting on the floor, a light source is to be placed at the focus of the surface. If 2 m down from the top of the dome the ceiling is 28 m wide, find the best location for the light source.
A. 98 m down from the top B. 73.5 m down from the top C. 49 m down from the top D. 24.5 m down from the top
Insert <, >, or = to make the statement true.
0.2
A. < B. > C. =