Holistic Numerical Methods Institute
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Multiple Choice Test
Newton's Divided Difference Method
Q1. If a polynomial of degree n has more than n zeros, then the polynomial is
oscillatory zero everywhere quadratic not defined
Q2. The following x-y data is given
x
15
18
22
y
24
37
25
The Newton’s divided difference second order polynomial for the above data is given by
f2(x)=b0+b1(x-15)+b2(x-15)(x-22)
The value of b1 is
-1.048
0.1433 4.333 24.00
Q3. The polynomial that passes through the following x-y data
?
123
is given by
The corresponding polynomial using Newton’s divided difference polynomial is given by
The value of b2 is
0.2500 8.125 24.00 not obtainable with the information given
Q4. Velocity vs. time data for a body is approximated by a second order Newton’s divided difference polynomial as
The acceleration in m/s2 at is
0.5540 m/s2
39.622 m/s2 36.852 m/s2 not obtainable with the given information
Q5. The path that a robot is following on a x-y plane is found by interpolating the following four data points
2
45
5.5
7
7.5
6
5
The length of the path from x=2 to x=7 is
Q6. The following data of the velocity of a body is given as a function of time.
Time (s)
0
Velocity (m/s)
If you were going to use quadratic interpolation to find the value of the velocity at seconds, the three data points of time you would choose for interpolation are
0, 15, 18 15, 18, 22 0, 15, 22 0, 18, 24
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