Matlab and Mathcad questions

Hi please solve the following problems (mathcad & mathlab).

Its 4 problems total

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California State University, Fullerton
Department of Mechanical Engineering
EGME 205-02/04 – Fall 2017 Final Exam
Instructors Habib
Names
CWID:
2. The following data give the drying time T of a certain paint as a function of the amount of
a certain additive A. Find the first second, third, and fourth-degree polynomials that fit the
data and plot each polynomial with the data. Set limits 0 and 10 on the x-axis and limits
0 and 150 on the y-axis. Determine the quality of the curve fit for each by computing J.
Note: You have to use for-loops to perform the above. Any other form of solution will
not be given credit.
A(oz)
T(min)
0
130
1
115
2
110
6
3
90
4
89
5.
89
7
100
95
8
110
9
125
P
Insert
Home
Page
Up
Num
Lock
Delete
End
Enter
own
7
8
Home
Pgup
Shift
4
6
1
2
Ctrl
End
Pos
0
Ins
De
California State University, Fullerton
Department of Mechanical Engineering
EGME 205-02/04 – Fall 2017 – Final Exam
Instructor: Habib Gharavi
Name:
CWID:
a. Absolutely no cheating. A zero grade for the midterm is the minimum penalty if you cheat.
b. You have to do YOUR OWN WORK.
1. A copper sphere 25mm in diameter, initially at 300°C is immersed in a bath at 0°C. The
following table gives measurements of the sphere’s temperature versus time. Use the subplot
command to see all three rectilinear, logarithmic, and semi-logarithmic plots of the following
data right next to each other. Then, fit the following data on an approximated linear line
and find the equation of the said line.
5
6
0
2
75
1
150
3
35
4
12
5.
Time
Temperature 300
2.
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End
0
California State University, Fullerton
Department of Mechanical Engineering
EGME 205-02/04 – Fall 2017 – Final Exam
Instructor: Habib Gharavi
Names
CWID:
3. Obtain the surface and contour plots for the function z = -22 +234 +3 using the subplot
command with the orientation of one being on top of the other. Label all of your axis. This
surface has the shape of a saddle. At its saddlepoint at x = y=0, the surface has zero slope,
but this point does not correspond to either a minimum or maximum. What type of contour
lines correspond to a saddlepoint?
California State University, Fullerton
Department of Mechanical Engineering
EGME 205-02/04 – Fall 2017
4. The following represents pressure samples in pounds per square inch (st), taken in a filma
once every second for 10 sec.
Final Exam
A(oz)
T(min)
CNNID
1
26.1
2
27.0
3
28.2
4
29.0
5
6
29.8
Fit a first-degree polynomial, second-degree polynomial, and a three-degree polynomial
to these data. Plot the curve fits along with the data.
30.6
7
31.1
9 10
31.3 31.0 30.5