Download Two atoms are walking down the street together. The first atom turns

Name ___________________________
Date _________________
Polar Homework #6
Intro. To BC Calculus Honors
Mrs. Scala/Mr. Modiano
1) Convert the rectangular coordinate (0, 3) to polar.

4π 
2) Convert the polar coordinate  -6,
 to rectangular.
3 

3) Express the rectangular equation x = 3y in polar form.
4) Express the polar equation θ =
3π
in rectangular form.
4
5) Write the equation of a circle, in both rectangular and polar form, with center (3, 0) and
passes through the origin.
6) Graph the following equations on the grids provided. No Calculator!
r = 6cos 3θ
r = 3 + 3 cos θ
7) Find all the points of intersection of the curves with the given polar equations on 0,2 ) .
a) r = 1 and r = cos θ
b) r = sin θ and r = cos 2 θ
8) Evaluate each.
a) sin
2
3
1
b) Cos – 1(-
2
)
c) tan
11
4
d) Arc sin (
3
)
2
9) Solve for x: 3x2 – 14x – 5 = 0
10) Graph y = - ln(x + 1) + 2.
Identify the domain and range.
Find the x and y-intercepts.
11) Solve for x: 5 = 10e3x
12) If sin x = 
13) Find the domain of f(x) =
3
3
, where π ≤ x ≤
,
5
2
find sin(x – π).
3x
x2 9
.
15) If f(x) = e 4cos x , find the domain and range.
14) Write a quadratic equation with roots ±4i.
16) Sketch y = 4 cos (x + π) – 1 on the
interval [0, 2π].
Two atoms are walking down the street together. The first atom turns and says, "Hey, you just stole an electron from me!"
"Are you sure?" asks the second atom. To which the first atom replies, "Yeah, I'm positive!"