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Assignment 1 Key
Answers for assignment 1
Section 2.1, Problem 2 1
Section 2.1, Problem 4 1
Section 2.11, Problem 1, Publishing Reports - A Simple Example 2
A Spiral Plot 2
Create vectors theta and r 2
Now plot theta vs r using polar plot 2
Polar to Cartesian Coordinates (Addition to script for Problem 2) 3
Polar to Cartesian with pol2cart 4
Problem 4 - not output 5
Section 2.2, Problem 1 5
Section 2.2, Problem 3 5
Section 2.2, Problem 5 6
Section 2.1, Problem 2
exp(3)
log(exp(3))
log10(exp(3))
log10(10^5)
exp(pi*sqrt(163))
x=log(17)/log(3)
3^x % should equal 17
ans =
20.0855
ans =
3
ans =
1.3029
ans =
5
ans =
2.6254e+17
x =
2.5789
ans =
17.0000
Section 2.1, Problem 4
(1+3*i)/(1-3*i) % Should equal -0.8 + 0.6i
exp(i*pi/4)
cos(pi/4)+i*sin(pi/4)
exp(pi/2*i)
exp(pi/2i)
ans =
-0.8000 + 0.6000i
ans =
0.7071 + 0.7071i
ans =
0.7071 + 0.7071i
ans =
0.0000 + 1.0000i
ans =
0.0000 - 1.0000i
Difference from exp(pi/2*i) has to do with order of operations. exp(pi/2*i) executes division first so the imaginary part of argument positive. exp(pi/2i) executes multiplication first making the complex of argument the reciprocal of i and, therefore, negative.
Section 2.11, Problem 1, Publishing Reports - A Simple Example
A Spiral Plot
Let us plot a spiral given by r(t) = exp(-theta/10), 1 ................
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