A pair of parametric equations is given. x = 5 cos(t),    y = 6 sin(t), Find a rectangular-coordinate equation for the curve by eliminating the parameter

Q: eliminating the parameter t from the parametric equation x = 3 cost y = 3 sin t, find the…

A: First we square both given equation and then adding both and solve it.

Q: Sketch the curve r = 3 sin(2θ)

A: To sketch the curve r = 3 sin(2θ) It's amplitude lies between -3 to 3  At θ = 45°, sin(2θ) =…

Q: Sketch the graph of the parametric equation. x=sec t , y=tan t

A: Square both the equations.

Q: Find parametric equations for the position of the ball relative to the tee as a function of time…

A: By using the parametrization in first two part, To find the time of ball hit the ground and before…

Q: x = 12 + 3 y = 2t [-2, 2]

A: Substitute t value

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

A:

Q: Graph the curve with parametric equations x = sin(t), y = 2 sin(2t), z = sin(3t). And Find the…

A: The parametric equation of the curve is: x=sint, y=2sin2t, z=sin3t. To Do:We have to graph the given…

Q: Write an equation of the line tangent to this curve at point A r = −8 sin(θ)  polar coordinate…

A: Given query is to find the equation of the tangent line

Q: A wheel with radius 2 cm is being pushed up a ramp at a rate of 7 cm per second. The ramp is 790 cm…

A: The motion of point P is the sum of rotational and translation motion. The expression of x and y is…

Q: Consider the folowing. X - 8 cos e Y - 5 sin a (a) Sketch the curve represented by the parametric…

A: We have to sketch the curve.

Q: Find two different parametric equations for the given rectangular equation. 6 5 x=y 5 Let x = t. One…

A:

Q: Sketch the curve r= cos 2θ

A: Symmetric test for polar coordinates r=f(θ): If f(θ)=f(-θ) then graph is symmetric about polar…