(a) Essay Example
 Category:Engineering and Construction
 Document type:Math Problem
 Level:Undergraduate
 Page:1
 Words:205
Graphical Methods
Student 9; Asymptotes —
Student 10; Asymptotes —
Student 9;
Student 10;
The voltage across the resistor is given by ;
Substituting the values of ;
The voltage across the inductor is given by
Substituting the values of ;
The voltage across the capacitor is given by
Substituting the values of ;
Numerical Integration

(a)
Simpson’s Rule
Trapezoidal Rule
Midordinate Rule
From kelsan online calculator [ CITATION kel17 l 1033 ]–
% deviation 

Simpson’s Rule 

Trapezoidal Rule 

Midordinate Rule 

(a) ; n=4
Simpson’s Rule
From Error Function Table –
% deviation = 73.5%
The accuracy of the Simpson’s Rule above can be increased by increasing the number of segments
Iteration

Bisection Method
; ;
Using the interval [0, π]
c=0.5(a+b) 

180.00000 
56.30173 
90.00000 
27.62925 
90.00000 

90.00000 
27.62925 
45.00000 
13.30788 
45.00000 

45.00000 
13.30788 
22.50000 
6.16918 
22.50000 

22.50000 
6.16918 
11.25000 
2.59668 
11.25000 

11.25000 
2.59668 
0.80048 

0.80048 

Closest Point of Approach
Point on submarine path –
Sonobouy –

Square of the distance

Equation for minimizing distance
Differentiate wrt x;=
By NewtonRhapsody method;
Student 9 (a, b)=(4, 1)
2.000000 
2.138889 
2.126549 

5.000000 
0.542639 
0.004621 

36.000000 
43.973680 
43.226092 

2.138889 
2.126549 
2.126442 
Student 10 (a, b)=(3.5, 1)
2.000000 
1.979730 
2.143518 

0.750000 
5.718702 
0.746847 

37.000000 
34.915233 
44.256129 

1.979730 
2.143518 
2.126642 