Question 1

Find the area enclosed by the graph

$r=2+\sin{4	heta}$

between $0\leq	heta\leq2\pi$

Accepted Answer

$\frac{9}{2}\pi$

Answer

$\frac{3}{2}\pi$

Answer

$\frac{7}{2}\pi$

Answer

$\frac{5}{2}\pi$

Question 2

Find the area enclosed by the graph

$r=\sqrt{1+\cos^{2}(5	heta)}$

between $0\leq	heta\leq2\pi$

Accepted Answer

$\frac{3}{2}\pi$

Answer

$\frac{7}{2}\pi$

Answer

$\frac{5}{2}\pi$

Answer

$\frac{9}{2}\pi$

Question 3

Find the length of the polar curve:

$r=2\cos{	heta}$

Between $0\leq	heta\leq2\pi$

Accepted Answer

$2\pi$

Answer

$4\pi$

Answer

$5\pi$

Answer

$3\pi$

Question 4

Find the length of the polar curve:

$r=2(1+\cos{	heta})$

Between $0\leq	heta\leq2\pi$

Accepted Answer

$\frac{9}{4}\pi$

Answer

$\frac{7}{4}\pi$

Answer

$\frac{3}{4}\pi$

Answer

$\frac{5}{4}\pi$

Question 5

Give the correct description of a Hyperbola with eccentricity 1.5 and directrix at $y=2$

Accepted Answer

$r=\frac{6}{2+3\sin{	heta}}$

Answer

$r=\frac{6}{2-3\cos{	heta}}$

Answer

$r=\frac{6}{2+3\cos{	heta}}$

Answer

$r=\frac{6}{2-3\sin{	heta}}$

Question 6

Describe the coni section shown

Accepted Answer

$r=\frac{2}{3+3\sin{	heta}}$

Answer

$r=\frac{2}{3-3\sin{	heta}}$

Answer

$r=\frac{2}{3-3\cos{	heta}}$

Answer

$r=\frac{2}{3+3\cos{	heta}}$

Question 7

Describe the equation $y=1+3x$ as a polar equation in terms of r and $	heta$

Accepted Answer

$r=\frac{1}{\sin{	heta}-3\cos{	heta}}$

Answer

$r=\frac{1}{\sin{	heta}+3\cos{	heta}}$

Answer

$r=\frac{1}{3\sin{	heta}+\cos{	heta}}$

Answer

$r=\frac{1}{3\sin{	heta}-\cos{	heta}}$

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