Unit 5 Math Quiz

Question 1

Distance Formula (Polar Coordinates)

Answer 1

sqrt(r1^2 + r2^2 - 2r1r2 * cos(θ2-θ1))

Question 2

Graphing: When r is negative, you graph…

Essentially, negative “x” =

Answer 2

(r, θ + π)

= Dial correctly, than reverse backwards

Question 3

Graphing: When θ is negative, you essentially

Answer 3

Graph the mirror opposite of θ

Question 4

Graphing: r = number

Answer 4

Circle around r value

Question 5

Graphing: θ = radian

Answer 5

Line across positive and negative θ

Question 6

Graphing: secθ

Answer 6

Vertical line?

Question 7

What does symmetry to π/2 look like?

Answer 7

Symmetrical to “y-axis”

Question 8

What does symmetry to the polar axis look like?

Answer 8

Symmetrical to “x-axis”

Question 9

What does symmetry to the pole look like?

Answer 9

Diagonally symmetrical

Question 10

r = aCosθ
r = aSinθ

Answer 10

Circle

Question 11

r = a +/- bCosθ
r = a +/- bSinθ

Answer 11

Limacon

Question 12

r = a +/- bCosθ
r = a +/- bSinθ
(a/b < 1)

Answer 12

Limacon with Inner Loop

Question 13

r = a +/- bCosθ
r = a +/- bSinθ
(a/b = 1)

Answer 13

Cardinoid

Question 14

r = a +/- bCosθ
r = a +/- bSinθ
(1< a/b < 2)

Answer 14

Dimpled Limacon

Question 15

r = a +/- bCosθ
r = a +/- bSinθ
(a/b ≥ 2)

Answer 15

Convex Limacon

Question 16

r = aCos#θ
r = aSin#θ

Answer 16

Rose

Question 17

r = aCos3θ

Answer 17

3 Petals

Question 18

r = aSin2θ

Answer 18

4 Petals

Question 19

r = aSin5θ

Answer 19

5 Petals

Question 20

r = aCos4θ

Answer 20

8 Petals

Question 21

r^2 = a^2cos2θ
r^2 = a^2sin2θ

Answer 21

Lemniscates

Question 22

r = aθ+b

Answer 22

Spirals of Archimedes

Question 23

(r, θ) to (x,y)

Answer 23

x = rcosθ
y = rsinθ

Question 24

(x,y) to (r, θ)

Answer 24

r = sqrt(x^2 + y^2)
θ = tan^-1(y/x)

Question 25

Horizontal Distance

Answer 25

x = t * Vi * cos(θ)

Question 26

Vertical Position

Answer 26

y = - 1/2 g t^2 + t * Vi * sin(θ) + Hi

Question 27

Gravity in m/s^2

Answer 27

9.8

Question 28

Gravity in ft/s^2

Answer 28

32

Question 29

Vertex of parabola

Answer 29

-b/2a

Question 30

Quadratic Formula

Answer 30

(-b±√(b²-4ac))/(2a)