Quèstion 2A parametric equations for the circle x? +y? + 6x – 14y = 23 areO A. x = 81 cost, y = 81 sintO B.x = -3 + 9 cost,y = 7+9 sint0 sts27OC.x=7+9 cost,y = 3+9 sint0 sts27O D.x =3 +9 cost,y = -7+9 sint0 st<27O E. x = -7+9 cost,y = 3+9 sint0 st<27

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Answered: uestion 2 A parametric equations for…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.6: Polar Equations Of Conics

Problem 32E

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For Question 1 through 6, fill in the blank with an appropriate word or expression. When we sketch the graph for a pair of parametric equations, the resulting curve is called a.
For Question 1 through 6, fill in the blank with an appropriate word or expression. Eliminating the parameter means algebraically eliminating the variable from a pair of parametric equations to obtain a single equation in the variables and only.
Epicycloid If the circle C of Exercise 63 rolls on the outside of the larger circle, the curve traced out by P is called an epicycloid. Find parametric equations for the epicycloid. Hypocycloid A circle C of radius b rolls on the inside of a larger circle of radius a centered at the origin. Let P be a fixed point on the smaller circle, with the initial position at the point (a,0) as shown in the figure. The curve traced out by P is called a hypocycloid. a Show that parametric equations of hypocycloid are x=(ab)cos+bcos(abb) y=(ab)sinbsin(abb) b If a=4b, the hypocycloid is called an asteroid. Show that in this case parametric equations can be reduced to x=acos3y=asin3 Sketch the curve. Eliminate the parameter to obtain an equation for the asteroid in rectangular coordinates.

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uestion 2 A parametric equations for the circle x? + y? + 6x – 14y = 23 are O A. x = 81 cost, y = 81 sint 0 st<27 O B. x = -3 +9 cost, y = 7+9 sint 0 st<27 OCx =7+9cost, y = 3+9 sint 0 sts27 O D.x =3 +9 cost, y = -7+9 sint 0 st<27 O E. x = -7+9 cost, y = 3+9 sint 0 sts27