pls solve

$(60pts-15pts$ each$)$

a$)$ Graph the three$-$leaved rose: $r=cos3$

b$)$ Find the area inside one leaf of the three$-$leaved rose: $r=cos3$

c$)$ Find the length of the curve: $r=\frac{e^{}}{\sqrt[\phantom{2}]{2}}$ for $0$

d$)$ Find the tangent to the curve $r=2+sin$ at the point $=\frac{}{2}$

II$.(10$pts$)$ Find $\frac{dw}{dt}{|}_t||=1$ if

$w=x{e}^y+ysinz-cosz,x=2\sqrt[\phantom{2}]{t},y=t-1+lnt,z=t$

III. $(10$pts$)$ Find $\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{x}}{|}_{(x,y)}||=(3,3)$ if $f(x,y)=xsin(\frac{y}{2})+ysin(2x)$

IV$.(20$pts $-10$ pts each$)$

a$)$ Identify all symmetries, if any, of the polar curve: $r^2=4cos$

b$)$ Graph the polar curve : $r^2=4cos$