Single Variable Calculus: Early Transcendentals
8th Edition
ISBN: 9781305270336
Author: James Stewart
Publisher: Cengage Learning
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Chapter C, Problem 8E
To determine
To show: The given equation represents the equation of the circle.
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22. What is the center of the circle represented by the equation 3x2+12x+3y2− 6y−33 = 0?
Please see attachment.
What is the equation of the circle with a center at (−3,8) and a radius of 7?
The equation is (x+3)2+(y−8)2=7.
The equation is (x+3)2+(y−8)2=49.
The equation is (x−8)2+(y+3)2=49.
The equation is (x−8)2+(y+3)2=7.
What is an equation of a circle whose center is (1,4) and diameter is 10?
Question options:
x2 − 2x + y2 − 8y = 83
x2 − 2x + y2 − 8y = 8
x2 + 2x + y2 + 8y = 8
x2 + 2x + y2 + 8y = 83
Chapter C Solutions
Single Variable Calculus: Early Transcendentals
Ch. C - Find an equation of a circle that satisfies the...Ch. C - Prob. 2ECh. C - Prob. 3ECh. C - Prob. 4ECh. C - Prob. 5ECh. C - Prob. 6ECh. C - Prob. 7ECh. C - Prob. 8ECh. C - Prob. 9ECh. C - Prob. 10E
Ch. C - Prob. 11ECh. C - Prob. 12ECh. C - Prob. 13ECh. C - Prob. 14ECh. C - Prob. 15ECh. C - Prob. 16ECh. C - Prob. 17ECh. C - Prob. 18ECh. C - Prob. 19ECh. C - Prob. 20ECh. C - Prob. 21ECh. C - Prob. 22ECh. C - Prob. 23ECh. C - Prob. 24ECh. C - Prob. 25ECh. C - Prob. 26ECh. C - y = x2 6x + 13 1132 Identify the type of curve...Ch. C - Prob. 28ECh. C - Prob. 29ECh. C - Prob. 30ECh. C - Prob. 31ECh. C - Prob. 32ECh. C - Prob. 33ECh. C - Prob. 34ECh. C - Prob. 35ECh. C - Prob. 36ECh. C - Prob. 37ECh. C - Prob. 38ECh. C - Prob. 39ECh. C - Prob. 40E
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- Determine the center and the radius of the circle. (x+6)2+(y-5)2=54arrow_forwardWhich equation represents a circle with center (-5, 8) and diameter of 14? (x+5) + (y-8) = 196 (x+5) + (y-8) = 49 (x+5) + (y-8) = 7 (x-5) + (y+8) = 49arrow_forwardFind the requation of a circle with centre C and radius r where C=(5,-3),r=4arrow_forward
- The equation of a circle is given as (x−22)2+(y+7)2=36. What is the length of the circle's radius? 36 22 -7 6arrow_forwardWhich equation represents a circle with center (-4, 9) and radius 7? 1.(x+4)^2 + (y-9)^2 = 7 2.(x-4)^2 + (y+9)^2 = 49 3.(x-4)^2 + (y-9)^2 = \sqrt{7} 4.(x+4)^2 + (y-9)^2 = 49arrow_forwardI need to write an equation of a circle with the given properties. Can you please help me? r = 4, centered at (-2, 3) r = √8, centered at (4, -6)arrow_forward
- Which equation represents a circle with center (12, 9) and diameter of 12 units? 1.(x-12)^2 + (y-9)^2 = 36 2.(x-12)^2 + (y-9)^2 = 12 3.(x-12)^2 + (y-9)^2 = 2\sqrt{3} 4.(x+12)^2 + (y+9)^2 = 144arrow_forwardWrite the equation of the circle with a center at (2,5) and a radius of 2? The equation is (x+2)2+(y+5)2=4. The equation is (x−2)2+(y−5)2=4. The equation is (x−2)2+(y−5)2=2. The equation is (x+2)2+(y+5)2=2.arrow_forward4 Write the equation in standard form of the circle whose diameter has endpoints of (-2, 4) and (8, -6). (x - 3) 2 + (y + 1) 2 = 50 (x - 3) 2 + (y + 1) 2 = 200 (x - 5) 2 + (y - 5) 2 = 50arrow_forward
- Determine the distance from the point (8,10) to the farthest point on the circle x2+y2=16ya. 17.85 c. 16.25b. 20.52 d. 13.42arrow_forward20.) Find the center and radius of a circle with the equation x2 + y2=36. a. C= (0,0), r = 36 b. C=(1,1), r =36 c. C= (0,0), r = 1296 d. C = (0,0), r = 6arrow_forwardWhat is the equation of the circle? The equation is (x−1)2+(y+2)2=7. The equation is (x+1)2+(y−2)2=49. The equation is (x−1)2+(y+2)2=49. The equation is (x+1)2+(y−2)2=7.arrow_forward
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