Interpolation

1
Interpolation

• Gentlemen and Ladies, get ready to use your
  clickers

2
The 1 song on Billboard Hot 100 for issue date
of 02/23/2008 is

• No one by Alicia Keys
• Dont Stop the Music by Rihanna
• With You by Chris Brown
• Low by Flo Rida Featuring T-Pain

3
The name of the person in the picture is

• Yung Joc
• T-Pain
• 50 cent
• MC Hammer

4
The number of polynomials that can go though two
fixed points (x1,y1) and (x2,y2) is

• 0
• 1
• 2
• infinite

5
A unique polynomial of degree _______ passes
through n1 data points

• n1
• n1 or less
• n
• n or less

6
Given n data points of y vs x for conducting
quadratic spline interpolation the x-data needs
to be

• equally spaced
• in ascending or descending order
• integers
• positive

7
In cubic spline interpolation

• the first derivatives of the splines are
  continuous at the interior data points
• the second derivatives of the splines are
  continuous at the interior data points
• the first and the second derivatives of the
  splines are continuous at the interior data
  points
• the third derivatives of the splines are
  continuous at the interior data points

8
A robot needs to follow a path that passes
through six points as shown in the figure. To
find the shortest path that is also smooth you
would recommend

• Pass a 5th order polynomial through the data
• Pass linear splines through the data
• Pass quadratic splines through the data
• Regress the data to a 2nd order polynomial

9
The following functions can be used for
interpolation

• polynomial
• exponential
• trigonometric
• all of the above

10
Polynomials are most commonly used functions for
interpolation because they are easy to

• evaluate
• differentiate
• integrate
• all of the above

11
The data of velocity vs time is given. The
velocity in m/s at t16s using linear
interpolation is

• 27.867
• 28.333
• 30.429
• 43.000

12
The following velocity vs time data is given as a
function of time. To find the velocity at
t14.9s, the three time data points you would
choose are

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

13
If a polynomial of degree n has n1 zeros, then
the polynomial is

• oscillatory
• zero everywhere
• quadratic
• not defined

14
The length of a straight line path from (1,2.2)
to (4,6.2) is

• 3.0
• 4.0
• 5.0
• 25.0

15
A robot following a path on an x-y plane is found
by interpolating 4 data points as
The length of the path from x2 to x7 is