Find the equation for the following parametric equation in rectangular coordinates, graph the equation, and use an arrow to indicate the orientation. x = 4 cos t y= 5 sint %3D

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A: Conversion of rectangular coordinates to polar coordinates

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A: Given the parametric equations x = 1+1t, y = t -1 x = 1+1t ,      y +1 = t x = 1+1y+1xy+1 = y+2xy…

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A: Given thatx(t)=t2 and y(t)=lntFrom y(t)=ln(t) we get t=eyThen we plug it in x=t2So, x=ey2or, x=e2y

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A: Explanation of the answer is as follows

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Q: a) Given the following set of parametric equations, eliminate the parameter and show the…

A: The given parametric equations,x=sin(t)y=sin2(t)-4

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Q: Sketch the curve represented by the parametric equations x = 8 cos θ,            y = 8 sin θ…

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Q: a) Given the parametric (8) UT UTMtion Find the equivalent Cartesian equation and sketch its graph.…

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Q: convert to an equation in rectangular coordinates.  r = 1/2 − cos θ

A: r=12-cosθ

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A: Given an equation r=-8 sin(θ) To convert this equation to rectangular form We know that  x=r…

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Q: Find the equation for the following parametric equation in rectangular coordinates, graph the…

A: The aim is to eliminate t y=t6  =(t3)2    =x2 Hence equation in rectangular coordinates is y=x2.

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 4 cos 0-10…

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Q: Consider the parametric equations shown below. x = 3 (cos(θ))2 y = 3 sin(θ)   Find the rectangular…

A: solution of the given problem is below...

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Q: consider the curve represented by the parametric equations: x=2t-10*sin((pi/6)*t), y=t. (a) Sketch…

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Q: The polar equation for the curve whose rectangu (a)rcos@sine =4 8. (b)r = sin 28 (c) =

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Q: Which of the following Polar equation represents the following Curve (a)r = 1 – sinf (b) r = 2 +…

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Q: Convert the following polar equation into a rectangular equation. If possible, write the rectangular…

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Q: The following sets of parametric equations have the same graph? Explain.      x = cos θ, y = sin2θ,…

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Q: x = 5 cos t, y=-5 sin t

A: x=5cos(t),y=-5sin(t)x2+y2=52R=5At t=0,(x,y)=(5cos(0),-5sin(0)), or (5,0)At…

Q: Which of the following are parametric equations for the entire unit circle? Choose all that apply.

A: We have to go option by option.

Q: Consider the following parametric equations  x(t)=et , y(t)=e-5t a) eliminate the parameters to…

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Q: Consider the following. x = cos ? + 1,    y = sin ? − 2;    0 ≤ ? ≤ 2?   (a) Find a rectangular…

A: The parametric curves x=cost+1 and y=sint-2. o≤t≤2. We have to answer the following...

Q: (b) Find the graph of the parametric equations: I = sin 0, y = 3 – 2 cos 20

A: Plugging values of θ, to find the corresponding values of x and y: When…