1.14: Chapter Exercises
- Page ID
- 136825
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Exercise 1: Exploring Data Types
In the Command Window, define the following variables:
myInt = 20;
myRealNum = 20.2;
myCharArray = 'hello';
myString = "hello";
myLogical = true;
myStringNum = "2023";
a) Use whos to learn about each variable's data type and memory use.
b) Convert myInt to a true integer type.
c) Convert myStringNum to a number.
d) Explain the difference between myCharArray and myString.
Exercise 2: Help Tools
a) Use lookfor to learn how to calculate a base-10 logarithm.
b) Use lookfor or doc to learn how to create a random integer.
c) Use help to learn about the sqrt function.
d) Write down one difference between help and doc.
Exercise 3: Numeric Expressions
Define u = 1 and v = 3. Predict the results of the following expressions before typing them in MATLAB:
25 / (4 * 4)
(12 + 5) / 3
(13 + 3) / (7 * 10)
v / u
3^4
4^2 / 3
pi * v
Exercise 4: Meal Cost
A drink costs $2 and a taco costs $3. Write MATLAB code that assigns totalCost with the total meal cost for any number of drinks and tacos. Test your code using 4 drinks and 6 tacos.
Exercise 5: Wind Chill Factor
Create variables T and V for temperature in degrees Fahrenheit and wind speed in miles per hour. Use the wind chill formula from this chapter to calculate WCF. Then change T and V and recalculate.
Exercise 6: Logical Expressions
Define the following variables:
cold = true;
night = false;
raining = true;
Evaluate the following expressions and explain each result in words:
cold & night
cold | night
cold & raining
~raining
xor(night, raining)
(cold | night) & raining
Exercise 7: Variable Name Practice
For each name below, decide whether it is a valid MATLAB variable name. If it is not valid, rewrite it as a valid name.
|
Proposed name |
Valid? If not, fix it. |
|
1stValue |
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|
firstValue |
|
|
speed limit |
|
|
speed_limit |
|
|
for |
|
|
studentGrade |
|
|
total-cost |
|
|
totalCost |
|

