Holistic Numerical Methods Institute
committed to bringing numerical methods to undergraduates
Multiple Choice Tests
Direct Method of Interpolation
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.
Time (s)
0
15
18
22
24
Velocity (m/s)
37
25
123
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
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
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