Q1. Given n+1 data pairs, a unique polynomial of degree ________________ passes through the n+1 data points
n+1

n+1 or less
n
n or less

Q2. The following data of the velocity of a body is given as a function of time.

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

27.867
28.333
30.429
43.000

Q3. The following data of the velocity of a body is given as a function of time. 

The velocity in m/s at t=16 s using quadratic polynomial interpolation is most nearly

27.867
28.333
30.429
43.000

Q4. 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, one of the times at which the velocity of the body is 35 m/s during the above time interval of t=18 s to 24 s is

18.67 s
20.85 s

22.20 s
22.29 s

Q5. 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 in meters covered by the body between t=19 s and t=22 s is most nearly

10.50

88.50

93.00

168.00

Q6. The following data of the velocity of a body is given as a function of time

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

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

Complete Solution

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