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

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 

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

      

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.

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

Complete Solution

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