(a) Find the tangent line to the limacon r = 2 + 4cos theta at pole. Also find the points onthe limacon at which there is a horizontal tangent line.(b) Reduce the conic y+ 12x − 2x^2 = 16 to the standard form. Determine thecoordinate of focus, vertex, and equation of the directrix. Hence sketch it. Also findthe length and equations of the latus rectum. 4. (a) Find the tangent line to the limaconr = 2 + 4cos0 at pole. Also find the points onthe limacon at which there is a horizontal tangent line.(b) Reduce the conic y + 12x – 2x² = 16 to the standard form. Determine thecoordinate of focus, vertex, and equation of the directrix. Hence sketch it. Also findthe length and equations of the latus rectum.

Answered: 4. (a) Find the tangent line to the…

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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(a) Find the tangent line to the limacon r = 2 + 4cos theta at pole. Also find the points on
the limacon at which there is a horizontal tangent line.

(b) Reduce the conic y+ 12x − 2x^2 = 16 to the standard form. Determine the
coordinate of focus, vertex, and equation of the directrix. Hence sketch it. Also find
the length and equations of the latus rectum.

4. (a) Find the tangent line to the limaconr = 2 + 4cos0 at pole. Also find the points on
the limacon at which there is a horizontal tangent line.
(b) Reduce the conic y + 12x – 2x² = 16 to the standard form. Determine the
coordinate of focus, vertex, and equation of the directrix. Hence sketch it. Also find
the length and equations of the latus rectum.

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