Kindly answer item no.13 and if possible, No. 17 as well. This is my last credit to post a question. Please help me. Thank you. Sec. 4]Families of Curves15Ans. (1 + (y)']' [yy"+i +(.10. Circles tangent to the x-axis.11. Circles with center on the line y -- X, and passing through the origin.Ans. (x2- 2xy-y?) dx + (x? + 2xy- y) dy0.12. Circles of radius unity. Use the fact that the radius of curvature is 1,Ans. (y")? [I+ (y)'.Ans. y"[1 + (y)'] 3y(y)?.13. All circles. Use the curvature.14. Paraboias with vertex on the x-axis, with axis parallel to the y-axis, and withdistance from focus to vertex fixed as a.Ans. a(y)? = y.15. Parabolas with vertex on the y-axis, with axis parallel to the x-axis, and withAns. x(y')? = a.distance from focus to vertex fixed as a.16. Parabolas with axis parallel to the y-axis and with distance from vertex to focusAns. 2ay" = 1.fixed as a.17. Parabolas with axis parallel to the x-axis and with distance from vertex to focusAns. 2ay" + (y) = 0.d?x* 1.dy?fixed as a.Ans.2a18. Work Exercise 17, using differentiation with respect to y.19. Use the fact that"

Answered: Image /qna-images/answer/ff1e1d42-5c5a-4b58-a7a8-59859b0a6ebf.jpg

Ans. 12. Circles of radius unity. Use the fact that the radius of curvature is 1. Ans. (y")? [I+(y)']. Ans. y"[1 + (y)'] 3y(y)?. Id Paraholas with vertex on the x-axis, with axis parallel to the y-axis, and with 13. All circles. Use the curvature.

Ans. 12. Circles of radius unity. Use the fact that the radius of curvature is 1. Ans. (y")? [I+(y)']. Ans. y"[1 + (y)'] 3y(y)?. Id Paraholas with vertex on the x-axis, with axis parallel to the y-axis, and with 13. All circles. Use the curvature.

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Conic Sections

Section8.2: More Parabolas And Some Circles

Problem 63.1PS

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Question

Kindly answer item no.13 and if possible, No. 17 as well. This is my last credit to post a question. Please help me. Thank you.

Sec. 4]
Families of Curves
15
Ans. (1 + (y)']' [yy"+i +(.
10. Circles tangent to the x-axis.
11. Circles with center on the line y -- X, and passing through the origin.
Ans. (x2- 2xy-y?) dx + (x? + 2xy- y) dy
0.
12. Circles of radius unity. Use the fact that the radius of curvature is 1,
Ans. (y")? [I+ (y)'.
Ans. y"[1 + (y)'] 3y(y)?.
13. All circles. Use the curvature.
14. Paraboias with vertex on the x-axis, with axis parallel to the y-axis, and with
distance from focus to vertex fixed as a.
Ans. a(y)? = y.
15. Parabolas with vertex on the y-axis, with axis parallel to the x-axis, and with
Ans. x(y')? = a.
distance from focus to vertex fixed as a.
16. Parabolas with axis parallel to the y-axis and with distance from vertex to focus
Ans. 2ay" = 1.
fixed as a.
17. Parabolas with axis parallel to the x-axis and with distance from vertex to focus
Ans. 2ay" + (y) = 0.
d?x
* 1.
dy?
fixed as a.
Ans.
2a
18. Work Exercise 17, using differentiation with respect to y.
19. Use the fact that
"

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