Find the Jacobian for the given transformation.
A. 3,840
B. -80
C. 48
D. -48
Answer: B
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The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds).s = 1 + 5 cos tFind the body's velocity at time t = ?/3 sec.
A. - 
m/sec
B. 
m/sec
C. 
m/sec
D. - 
m/sec
Answer each question appropriately.The position of an object in free fall near the surface of the plane where the acceleration due to gravity has a constant magnitude of g (length-units)/sec2 is given by the equation: s = -
gt2 + v0t + s0, where s is the height above the earth, v0 is the initial velocity, and s0 is the initial height. Give the initial value problem for this situation. Solve it to check its validity. Remember the positive direction is the upward direction.
A. 
= -gt , s(0) = s0
B. 
= -g , s '(0) = v0, s(0) = s0
C. 
= -g
D. 
= g , s '(0) = v0, s(0) = s0
Solve the problem.Find the centroid of the first-octant portion of a solid ball of radius 5 centered at the origin.
A. (
, 
, 
) = 
B. (
, 
, 
) = 
C. (
, 
, 
) = 
D. (
, 
, 
) = 
Write the first four terms of the sequence.
A. 
, 
, 
, 
B. 1, 
, 
, 
C. 1, 
, 
, 
D. 
, 
, 
, 