Name: College Algebra
Author: Blitzer
ISBN: 9780136970514

Ch. 7 - Conic Sections

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모든 교과서

Blitzer 8th Edition

Ch. 7 - Conic Sections

Section 7.1

문제 1

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

문제 3

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

문제 5

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

문제 7

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

문제 9

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

문제 11

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

문제 13

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

문제 15

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

문제 17

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

문제 19

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

문제 21

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

문제 23

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

문제 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)

문제 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)

문제 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

문제 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)

문제 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)

문제 37

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

문제 39

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

문제 41

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

문제 43

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

문제 45

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

문제 47

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

문제 49

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

문제 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

문제 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

문제 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

문제 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

문제 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

문제 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.

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