A unique polynomial of degree ________________ passes through n+1 data points
n+1

n+1 or less
n
n or less

The data of the velocity of a body as a function of time is given as follows.

The velocity at 16s using linear polynomial interpolation is most nearly

27.867 m/s
28.333 m/s
30.429 m/s
43.000 m/s

The following data of the velocity of a body as a function of time is given as follows. 

The velocity at t=16 seconds using quadratic polynomial interpolation is most nearly

27.867 m/s
28.333 m/s
30.429 m/s
43.000 m/s

The following data of the velocity of a body is given as a function of time

Using quadratic interpolation, the interpolant

approximates the velocity of the body between 18 and 24 seconds.  From this information, at what time is the velocity of the body is 35 m/s during the above time interval

18.67 s
20.85 s

22.20 s
22.29 s

The following data of the velocity of a body is given as a function of time

One of the interpolant approximations from the above data is given as

Using the above interpolant, the distance covered by the body between t=19s and t=22s is most nearly

10.50 m

88.50 m

93.00 m

168.00 m

The following data of the velocity of a body as a function of time is given

If you were going to use quadratic interpolation to find the value of the velocity at t=14.9 seconds, what three data points of time would you choose for interpolation?

0, 15, 18
15,18,22
0, 15, 22
0, 18, 24

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