MAE 205 Midterm #1 - Copy (2)
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School
California State University, Long Beach *
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Course
205
Subject
Aerospace Engineering
Date
Apr 3, 2024
Type
docx
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California State University, Long Beach Mechanical and Aerospace Engineering Department MAE 205 Computer method in MAE
Professor: M. Lackpour
Midterm #1
Write your final answer in the specified area. No credit will be given to illegible work. Group No.:____________________________________ ____________________
Total Score: __________/100 pts
1.
[10 pts] Write the exact MATLAB expression(s) used to calculate the following mathematical expression cos
(
2
π
)
+
10
/
5
__________________________________________
e
x
+
3
x
2
,where x
=
4
__________________________________________
3
√
8
+
|
x
cos
(
−
π
)
|
__________________________________________
tan
(
36
°
)
__________________________________________
sin
−
1
(
5
|
−
x
|
)
,where x
=
7
___________________________________________
2.
[10 pts] Determine whether the following MATLAB command are valid or invalid. If the commands are valid, give the final output. If the command are invalid, explain why.
K$=5 ____________________________________________
Velocity2= 3 ____________________________________________
(3/2)*sin(pi)+cos(pi/2) ____________________________________________
(2\3)*8^(1/3) _____________________________________________
(3/2)*abs(-2)+mod(1,3) _____________________________________________
3.
[10 pts] Given the matrices A, B, C, and D below. Answer the following questions. A
=
[
2
1
0
4
4
1
9
5
0
3
9
1
]
B
=
[
5
1
7
]
C
=
[
2
8
5
]
D
=
[
1
0
2
9
3
4
1
0
5
4
1
7
]
a.
What is the size of A*B? __________
b.
What is the product of C*D? __________
c.
What is the product of B.
∗
C
'
? __________
d.
What is the sum of A
+
D
'
? _____________
e.
Give the element (2,2) of the product B*C? __________
4.
[10 pts] Given the matrices A, B, C, and D below. Evaluate the following expressions. A
=
[
1
9
8
1
2
1
4
0
5
1
8
3
5
8
5
7
5
1
1
6
]
B
=
|
−
1
8
−
7
9
−
4
|
C
=
[
1
2
−
7
]
D
=
[
1
0
0
0
1
0
0
0
1
]
4.1 C(2)*D(:,2)
4.2 A.*A
4.3 C(2:3)*B(2:4)
4.4 A(1:3,1:2:end)*D
4.5 E=[D(:,2) A(2:end,end) B(1:3)]
5.
[10 pts] Write the exact MATALB command that performs the task asked. Assume that the variables are known but I just want the command performs the indicated task. 5.1 Write the MATLAB command that plots variables X vs. Y and T vs. W in the same plot with
one line of code. Provides line specifications that distinguish each of the plots. 5.2 Write the MATLAB command that plots the function G
(
x
)
=
sin
(
2
x
)
+
2
x
for the range -5<x<5 with one line of code. 6.
[10 pts] For the function Y = X^2 – X/(X+3) , calculate the value of y for the following values
of x using element-by-element operations: 0,1, 2, 3 , 4, 5, 6, 7
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