Q$-4$ Plot the graph of y$=$cos$3$ x for $0$ x $1$ using increments of $0\mathrm{.}01$ for x$.$

a$)$ Put a title as $$Graph of y$=$cos$(5$pi x$)$ for your plot $,$ label the x axes as $$ x axis$,$ label y

axis as $$y axis$$

b$)$ Grid your plot

c$)$ Save your plot as Fig$1.$fig. Close the plot you have drawn and plot the same graph

with red dashed line.

$($Hint: Use $$help plot$$ command for different line styles$)$

d$)$ Plot the graph of z$=$sin$(5$pi x$)$ on the same figure with green solid line.

e$)$ Change the x axis boundaries as $(-1,1)$ and y axis boundaries as $(-1\mathrm{.}8,1\mathrm{.}8)$

f$)$ Title your plot as $$Multi plot$,$ label x axis as $$x axis$,$ label y axis as $$y axis$,$ put a

descriptive legend for red dashed line as $$Cos curve$$ and green solid line as $$Sin curve$$

g$)$ Save your plot as Fig$2.$figMECH $100$

HW $1$

Q$-1,A=\{5,9,13,17,21,-3,-5,-7,-9,-11\}$

a$)$ Construct a row vector called a by using the colon notation $($Hint: $3$:$8=345678)$

with the number set given above.

b$)$ Construct a row vector that has five elements by using the $2^{nd}$ to $6^{th}$ entries of the

vector a$.$

Q$-2B=\{4,8,11,\sqrt[\phantom{2}]{2},\sqrt[\phantom{2}]{6}\},C=\{5,cos(),-3,7,2^5)$

a$)$ Construct a column vector called $b$ by using the number set $B.$

b$)$ Construct the column vector called $c$ by using the number set $C.$

c$)$ Construct a vector called $d$ by adding $2$ times $c$ and $3$ times $b.$

Q$-3E=\{3,7,8,-4,lo{g}_{10}(100)\}$

a$)$ Construct a row vector called $e$ by using the number set $E$ and convert the row vector

into a column vector. $($Hint: transposing$)$

b$)$ Find the transpose of the vector $b.$

c$)$ Find the vector $t=5e^T-2b^T$

d$)$ Save your workspace as trial.mat $($Workspace Window$)$ and then clear the workspace.

Q$-4$ Plot the graph of $y=cos3x$ for $0x1$ using increments of $0\mathrm{.}01$ for $x.$

a$)$ Put a title as 'Graph of $y=cos(5x)\text{'}$ for your plot, label the $x$ axes as $\text{'}x$ axis', label $y$

axis as $\text{'}$y axis'

b$)$ Grid your plot

c$)$ Save your plot as Fig$1.$fig. Close the plot you have drawn and plot the same graph

with red dashed line.

$($Hint: Use 'help plot' command for different line styles$)$

d$)$ Plot the graph of $z=sin(5x)$ on the same figure with green solid line.

e$)$ Change the $x$ axis boundaries as $(-1,1)$ and $y$ axis boundaries as $(-1\mathrm{.}8,1\mathrm{.}8)$

f$)$ Title your plot as 'Multi plot', label $x$ axis as $\text{'}x$ axis', label $y$ axis as $\text{'}y$ axis', put a

descriptive legend for red dashed line as 'Cos curve' and green solid line as 'Sin curve'

g$)$ Save your plot as Fig$2.$fig

$($JUST Q$4)$