MECH102 - Homework Hints, Answers, and Extra Requirements

Homework 9 (from Chapter 18)

TO ENHANCE YOUR LEARNING, PLEASE TRY TO WORK THE PROBLEMS FIRST WITHOUT LOOKING AT THE HINTS AND ANSWERS BELOW.

MAKE SURE YOU SATISFY ALL REQUIREMENTS LISTED BELOW AND IN THE ORIGINAL PROBLEM STATEMENTS (UNLESS INDICATED OTHERWISE BELOW).

NOTE - BECAUSE MOST ANSWERS ARE PROVIDED, IT IS VERY IMPORTANT THAT YOU SHOW ALL STEPS IN YOUR WORK.  THE GRADING WILL BE BASED ON THE COMPLETENESS, CLARITY, AND CORRECTNESS OF YOUR WORK, NOT JUST THE ANSWERS YOU PROVIDE.

18.1
[20 pts]
  • Report the interpolated values to 5 decimal places.
  • a) 0.99114 (0.886% error)
  • b) 0.99782 (0.218% error)
  • Also use the MathCAD function linterp to perform the interpolations.
18.2
[20 pts]
  • Use x0=9, x1=11, x2=8
  • Report the interpolated value to 5 decimal places.
  • 1.00034 (0.034% error)
18.3
[20 pts]
  • Use x0=9, x1=11, x2=8, x3=12
  • Report the interpolated value to 5 decimal places.
  • 1.00004 (4.492 x 10-3% error)
18.4
[20 pts]
  • Use x0=9, x1=11, x2=8, x3=12
  • For 18.1, do part b only.
18.11
[20 pts]
  • Use x0=3, x1=4, x2=5, x3=6
  • Use the method described in Section 18.3. Use a matrix inverse in MathCAD to solve for the polynomial coefficients.
  • a0=0.949, a1=-0.33, a2=0.05, a3=-0.002767
  • Use the MathCAD root function or a given/find block to do the inverse interpolation. Bisection is not required.
  • x=4.34 at f(x)=0.23