Blitzer - College Algebra 8th Edition

Ch. 7 - Conic Sections

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Blitzer 8th Edition

Ch. 7 - Conic Sections

Section 7.1

Problem 1

Graph each ellipse and locate the foci. x²/16+y²/4 = 1

Problem 3

Graph each ellipse and locate the foci. x²/9 +y²/36= 1

Problem 5

Graph each ellipse and locate the foci. x²/25 +y²/64 = 1

Problem 7

Graph each ellipse and locate the foci. x²/49 +y²/81 = 1

Problem 9

Graph each ellipse and locate the foci. x²/(9/4) +y²/(25/4) = 1

Problem 11

Graph each ellipse and locate the foci. x² = 1 – 4y²

Problem 13

Graph each ellipse and locate the foci. 25x²+4y² = 100

Problem 15

Graph each ellipse and locate the foci.4x²+16y² = 64

Problem 17

Graph each ellipse and locate the foci. 7x² = 35-5y²

Problem 19

Find the standard form of the equation of each ellipse and give the location of its foci.

Problem 21

Find the standard form of the equation of each ellipse and give the location of its foci.

Problem 23

Find the standard form of the equation of each ellipse and give the location of its foci.

Problem 25

Find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (-5, 0), (5, 0); vertices: (-8, 0), (8,0)

Problem 27

Find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (0, -4), (0, 4); vertices: (0, −7), (0, 7)

Problem 29

Find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (-2, 0), (2, 0); y-intercepts: -3 and 3

Problem 31

Find the standard form of the equation of each ellipse satisfying the given conditions. Major axis horizontal with length 8; length of minor axis = 4; center: (0, 0)

Problem 33

Find the standard form of the equation of each ellipse satisfying the given conditions. Major axis vertical with length 10; length of minor axis = 4; center: (-2, 3)

Problem 37

Graph each ellipse and give the location of its foci. (x − 2)²/9 + (y -1)² /4= 1

Problem 39

Graph each ellipse and give the location of its foci. (x +3)²+ 4(y -2)² = 16

Problem 41

Graph each ellipse and give the location of its foci. (x − 4)²/9 + (y +2)² /25= 1

Problem 43

Graph each ellipse and give the location of its foci. x²/25 + (y -2)² /36= 1

Problem 45

Graph each ellipse and give the location of its foci. (x +3)²/9 + (y -2)² = 1

Problem 47

Graph each ellipse and give the location of its foci. (x − 1)²/2 + (y +3)² /5= 1

Problem 49

Graph each ellipse and give the location of its foci. 9(x − 1)²+4(y+3)² = 36

Problem 51

Convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 9x² +25y² - 36x + 50y – 164 = 0

Problem 53

Convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 9x² + 16y² – 18x + 64y – 71 = 0

Problem 55

Convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 4x² + y²+ 16x - 6y - 39 = 0

Problem 57

Convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 25x²+4y² – 150x + 32y + 189 = 0

Problem 59

Convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 36x² +9y² - 216x = 0

Problem 61

Find the solution set for each system by graphing both of the system's equations in the same rectangular coordinate system and finding points of intersection. Check all solutions in both equations.

$\begin{cases} x^2 + y^2 = 1 \\ x^2 + 9y^2 = 9 \end{cases}$