Use the result, "the set of parametric equations for the ellipse is x=h+a cose, y=k+b sine" to find a set of parametric equations for the ellipse with vertices (9, 14) and (9, -6) and with foci at (9,-4) and (9, 12). Select one: a. x = 10 cose, y = 6 sine b. x=9+6 cose, y=4+10 sinė O c. x=6 sine, y = 10 cose d. x=4+6 cose, y=9+10 sinė

Q: the plane curve described by the parametric equations x=cost and y=3sint has a counter-clockwise…

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Q: 3. Find parametric equations for the graph of a circle centered at (-3,1) and radius 3.

A: Let's find parametric equations for the graph.

Q: Find the polar coordinates of the center of an ellipse with polar equation r = 8/(4+2cos(theta)).

A: Polar coordinates uses (r, theta) instead of the usual cartesian coordinates (x, y). r is the…

Q: What are the standard equations for lines and conic sections in polar coordinates? Give examples.

A: The standard polar equation for lines is given by

Q: Convert parametric equations to a Cartesian X = tvo cose y = tvosine - gt² 2 X = y = - cost 2 sint +…

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Q: Find an equation of the line in parametric form that passes through the vertex of the paraboloid…

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Q: b) x = cos 21, y=cos/ X = (x,y) 8 1 y 6. T1/4 T/2 Зл/4 4 2 5n/4 Зл/2 7n/4 -8 -6 -4 -2 2 4 -2 -4 2n…

A: Substitute the given values of t in the parametric equations (x=Cos 2t, y= Cos t).

Q: Eliminate the parameter t from the parametric equations x = 3 + sin t and y = cos t − 2. Graph the…

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Q: In an open space, Thomas throws a ball at an angle of 70° to the horizontal with an initial velocity…

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Q: A small, propeller driven, airplane is heading south at 120 mph. A commercial jet airplane is…

A: Given that , Speed of Airplane = 120 mph and Speed of Commercial Jet plane = 600 mph at t=0 , OA=100…