Free Printable Quiz P.1-P.2: Polar Quiz Review

1.

a)

b)

c)

d)

2.

a)

b)

c)

d)

3.

a)

b)

c)

d)

4.

a)

b)

c)

d)

5.

Determine the interval(s) where f is increasing. CHOOSE ALL THAT APPLY.

a)

$\left(0,\ \frac{\pi}{4}\right)$

b)

$\left(\frac{\pi}{4},\ \frac{\pi}{2}\right)$

c)

$\left(\frac{\pi}{2},\ \frac{3\pi}{4}\right)$

d)

$\left(\frac{3\pi}{4},\ \pi\right)$

6.

Determine the interval(s) where f is decreasing. CHOOSE ALL THAT APPLY.

a)

$\left(0,\ \frac{\pi}{4}\right)$

b)

$\left(\frac{\pi}{4},\ \frac{\pi}{2}\right)$

c)

$\left(\frac{\pi}{2},\ \frac{3\pi}{4}\right)$

d)

$\left(\frac{3\pi}{4},\ \pi\right)$

7.

Determine the interval(s) where the distance between f and the pole is/are increasing.

a)

$\left(0,\ \frac{\pi}{4}\right)$

b)

$\left(\frac{\pi}{4},\ \frac{\pi}{2}\right)$

c)

$\left(\frac{\pi}{2},\ \frac{3\pi}{4}\right)$

d)

$\left(\frac{3\pi}{4},\ \pi\right)$

8.

How many extrema occur for the graph of f?

a)

0

b)

1

c)

2

d)

3

9.

a)

$\frac{20}{\pi}units\ per\ radian$

b)

$\frac{\pi}{20}units\ per\ radian$

c)

$\frac{10}{\pi}units\ per\ radian$

d)

$\frac{\pi}{10}units\ per\ radian$

10.

Which letter represents the point

(-4,-\frac{2π}{3})

?

a)

B

b)

F

c)

D

d)

A

11.

Which equation below generates this particular graph?

a)

b)

c)

d)

12.

Which equation represents the polar graph?

a)

r = 6 + 6 sin θ

b)

r = 12 sin θ

c)

r = 4 - 3 sin θ

d)

r = 4 + 5 sin θ

13.

Choose a correct equation for this rose curve.

a)

r = sin(7θ)

b)

r = 7sin(2θ)

c)

r = 2sin(7θ)

d)

r = 2sin(14θ)

14.

Which equation represents the polar graph?

a)

r = sin 4θ

b)

r = 6 sin 2θ

c)

r = 6 cos 4θ

d)

r = cos 4θ

15.

Classify the type of polar curve.

a)

Rose

b)

Cardiod

c)

Inner loop limacon

d)

Dimpled limacon

16.

Identify the equation in the polar graph

a)

$r\ =7+4\sin\theta$

b)

$r\ =\ 7+4\cos\theta$

c)

$r\ =\ 4+7\sin\theta$

d)

$r\ =4+7\cos\theta$

17.

Identify the equation in the polar graph

a)

$r\ =\ 5+4\sin\ \theta$

b)

$r\ =\ 4+5\cos\ \theta$

c)

$r\ =\ 4+5\sin\theta$

d)

$r\ =\ 5+4\cos\theta$

18.

What is the equation for this graph?

a)

$r=6\sin\theta$

b)

$r=-6\sin\theta$

c)

$r=6\cos\theta$

d)

$r=-6\cos\theta$

19.

Match the name of the polar graph with its corresponding equation.

a)

cardioid

1.

r = 2 + 2cosΘ

b)

dimpled limacon

2.

r = 3 - 2cosΘ

c)

inner loop limacon

3.

r = 2 - 3cosΘ

d)

circle

4.

r = 2cosΘ

e)

rose

5.

r = cos2Θ

20.

Match the given polar equation with its corresponding graph.
(Pretend all of the r's = 1)

a)

1.

r = sin4Θ

b)

2.

r = cos4Θ

c)

3.

r = cos5Θ

d)

4.

r = sin5Θ

21.

What are the rectangular coordinates for point A?

a)

(2, 2√3)

b)

(4, 2√3)

c)

(√3, 2)

d)

(2√3, 4)

22.

Convert from rectangular to polar coordinates. (-4, 4)

a)

(4√2, π/4)

b)

(4√2, 3π/4)

c)

(4√2, -π/4)

d)

(-4√2, -7π/4)

23.

What is the polar equation of the graph shown here?

a)

$\theta=-\frac{\pi}{4}$

b)

$\theta=\frac{\pi}{3}$

c)

$\theta=\pi$

d)

$\theta=\frac{\pi}{6}$

24.

Convert the rectangular equation to polar form.
$y=-x\sqrt{3}$

a)

$\theta=\frac{7\pi}{6}$

b)

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

c)

$\theta=\frac{5\pi}{6}$

d)

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

e)

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

25.

Convert the polar equation to rectangular form.
$r=-4\sin\theta$

a)

$\left(x-2\right)^2+\left(y-1\right)^2=5$

b)

$\left(x-1\right)^2+\left(y-3\right)^2=10$

c)

$\left(x+1\right)^2+\left(y-2\right)^2=5$

d)

$x^2+\left(y+2\right)^2=4$

Quiz P.1-P.2: Polar Quiz Review

Total questions: 25

Worksheet time: 35mins

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