ph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of the curve.x-6 cos t, y= 7 sin t, 0stsnnoose the correct graph below.O A.O B.OC.OD.Determine the rectangular equation of the curve. Choose the correct answer below.x? v?= 1, x203649x? v?36= 1, y204936x+ 49y = 1, y s0O * +y = 85, xs0M

Answered: Image /qna-images/answer/0cd4b4a5-f0a2-4cb0-b82e-b1f730ab5fbc.jpg

Answered: ph the curve whose parametric equations…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 7CT

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Similar questions

Longbow CurveIn the following figure, the circle of radius a is stationary, and for every , the point P is the midpoint of the segment QR. The curve traced out by P for 0<< is called the longbow curve. Find the parametric equations for this curve.
A baseball is hit at a point 3 feet above the ground toward the left field fence. The fence is 10 feet high and 375 feet from home plate. The path of the baseball can be modeled by the parametric equations x=115cost and y=3+115sint16t2. Does the baseball go over the fence when it is hit at an angle of =30 ? Does the baseball go over the fence when =35 ?
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.
Shooting into the Wind Suppose that a projectile is fired into a headwind that pushes it back so as to reduce its horizontal speed by a constant amount . Find parametric equations for the path of the projectile.
Shooting into the Wind Using the parametric equations you derived in Problem 6. draw graphs of the path of a projectile with initial speed v0=32ft/s, fired into a headwind of =24ft/s, for the angles =5,15,30,40,45,55,60 and 75. Is it still true that the greatest range is attained when firing at 45 ? Draw some more graphs for different angles, and use these graphs to estimate the optimal firing angle.

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