Deck 9: Topics in Analytic Geometry

Question 1

Answer 1

D

Question 2

Answer 2

D

Question 3

Answer 3

A

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and
any other additional points.

Question 24

Question 25

Question 26

Question 27

Find the standard form of the equation of the ellipse with the given characteristics.

Question 28

Use the discriminant to classify the graph; then use the quadratic formula to solve for y.

Question 29

Convert the following polar equation to rectangular form.

Question 30

Question 31

Question 32

Question 33

Use the Quadratic Formula to solve for y in the following equation.

Question 34

Question 35

Rotate the axes to eliminate the xy-term in the following equation and then write the equation in standard form.

Question 36

Question 37

Question 38

Find a polar equation of the conic with the given characteristics and with one focus at the pole.

Question 39

Question 40

Classify the graph of the equation below as a circle, a parabola, an ellipse, or a hyperbola.

A) ellipse
B) parabola
C) hyperbola
D) circle

Question 41

Question 42

Question 43

Question 44

Find the standard form of the equation of the hyperbola with the given characteristics.

Question 45

Question 46

Question 47

Classify the graph of the equation below as a circle, a parabola, an ellipse, or a hyperbola.

A) hyperbola
B) parabola
C) ellipse
D) circle

Question 48

Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.

A) ellipse
B) parabola
C) hyperbola
D) circle

Question 49

Question 50

Question 51

Question 52

Find the eccentricity of the following ellipse. Round your answer to two decimals. 0

A) 1.50
B) 1.07
C) 60.69
D) 0.77
E) 0.63

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Find the standard form of the equation of the ellipse with the given characteristics.

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Classify the graph of the equation below as a circle, a parabola, an ellipse, or a hyperbola.

A) hyperbola
B) ellipse
C) circle
D) parabola

Question 66

Question 67

Question 68

Question 69

Question 70

Question 71

Question 72

Question 73

Question 74

Question 75

Question 76

Question 77

Question 78

Question 79

Question 80