Solve as indicated. 1. Find the center and the radius of the following equations. Equation of the Circle Center Radius a) x² + (y + 2)² = 121 b) (x + 5)² + y² c) (x – 14)² + (y – 3)² = 256 d) (x +)² + (y + 4)² = 16 e) (x – 9)² + (y – ² = 225 25 4 %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Activity # 2:
Solve as indicated.
1. Find the center and the radius of the following equations.
Equation of the Circle
Center
Radius
a) x² + (y +2)² = 121
25
b) (x + 5)2 + y2 :
4
c) (x – 14)² + ( – 3)² = 256
d) (x +)? + (y+ 4)² = 16
e) (x – 9)² + (y – ² = 225
2. Find the equation the circle with
a) center (-11, -8) and radius 4
b) center (2, -5) and point on circle (-7,-1)
c) the circle has a diameter with endpoints
(-4, 5) and (6, 5)
d) center (5, 9) and radius 17
e) center (-2, -7) and point on circle (6, 2)
3. Graph the circle
a) (x – 3)² + (y + 2)² = 16
b) x² + (y – 1)² = 4
c) (x + 8)² + (y – 1)² = 9
d) (x + 2)² + (y – 7)² = 21
(x – 10)² + y² = 1
%3D
4. Write in standard form and then graph.
a)2x2 + 2y2
b)8x + x² – 2y = 64 – y²
c)x? + y? + 14x – 12y+ 4 = 0
d)x² + 2x + y² = 55 + 10y
e)y? + 2x + x2 = 24y – 120
12x + 8y – 24 = 0
6.
Transcribed Image Text:Activity # 2: Solve as indicated. 1. Find the center and the radius of the following equations. Equation of the Circle Center Radius a) x² + (y +2)² = 121 25 b) (x + 5)2 + y2 : 4 c) (x – 14)² + ( – 3)² = 256 d) (x +)? + (y+ 4)² = 16 e) (x – 9)² + (y – ² = 225 2. Find the equation the circle with a) center (-11, -8) and radius 4 b) center (2, -5) and point on circle (-7,-1) c) the circle has a diameter with endpoints (-4, 5) and (6, 5) d) center (5, 9) and radius 17 e) center (-2, -7) and point on circle (6, 2) 3. Graph the circle a) (x – 3)² + (y + 2)² = 16 b) x² + (y – 1)² = 4 c) (x + 8)² + (y – 1)² = 9 d) (x + 2)² + (y – 7)² = 21 (x – 10)² + y² = 1 %3D 4. Write in standard form and then graph. a)2x2 + 2y2 b)8x + x² – 2y = 64 – y² c)x? + y? + 14x – 12y+ 4 = 0 d)x² + 2x + y² = 55 + 10y e)y? + 2x + x2 = 24y – 120 12x + 8y – 24 = 0 6.
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