Eliminate the parameter and get the standard form of the equation. Circle: x= h+ r cos(theta), y= k +rsin(theta) Use results to find a set of parametric equations for the line or conic [0,2pi] Circle's center: (5,5) ; radius = 3

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Q: 23. Consider the circle x² + y² = R². (a) Write down parametric equations to traverse the circle…

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Q: (a) Find a spherical coordinate equations; for the sphere X²+y²+(z-1)²=1 and the surface…

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Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Hyperbola:  x = h…

A: x = h + b tanθ        ⇒ tanθ = x-hb —1 y = k + a secθ        ⇒ secθ = y-ka —2    22 - 12      sec2θ…

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Q: The position of an object in circular motion is modeled by the given parametric equations. Describe…

A: To determine the radius of the circle.

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Q: 3. Let C be the part of the circle with radius 3 in the first quadrant as in the picture. 3. (a)…

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A: Given: x=6-7 e-2t & y=4+3 e-2t To eliminate the parameter t & to sketch the graph of…

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A: We first eliminate the parameter t.  From x = 9 sin(t),  y = 9 cos(t) we get:

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Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

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A: Topic = Coordinate geometry

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Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

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Q: Eliminate the parameter and obtoin the standerd formt 7,) of the rectongular equation. Circle:…

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Q: The position of an object in circular motion is modeled by the given parametric equations. Describe…

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Q: The position of an object in circular motion is modeled by the parametric equations x=3sin2t,…

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Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: given x=t-4         y=t/(t-4)

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Q: Rewrite polar equation for hyperbola as a 48 Cartesian equation r 5 – 7 sin(0) Preview

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A: Use given parametric equations to find required result

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Q: Suppose you have the parametric equations x = 4cos(6) y= 6sin( 6 ) %3D Eliminate the parameter and…

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Q: The parametric equations represented by x = secß, y = tanß, - T/2 < B< T/2 is a: A. Circle B.…

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Q: The position of an object in circular motion is modeled by the given parametric equations. Describe…

A: The two parametric equations are, x=2sint and y=2costFor calculating the radius of the circle, we…

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Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: given :x = 5t − 2,     y = 2t + 1

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Q: Eliminate the parameter and graph the plane curve represented by the parametric equations, x = 3sec…

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A: Given curves are, x=et y=e3t+8

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. (x(t) = 5 - 3t…

A: Please see the answer in step 2

Q: Eliminate the parameter and graph the plane curve represented by the parametric equations x = t2, y…

A: x=t2,  y=t-1 Consider, y=t-1⇒t=y+1 Now put t=y+1 in x=t2, we get ⇒x=y+12⇒x=y2+2y+1⇒y2+2y-x+1=0

Q: Use the result, “the set of parametric equations for the circle is x-h+rcos & y-k+rsin @ to find a…

A: Coordinate Geometry Question

Q: raph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: Definition used -                   For graphing a parametric equation, we have to make a table…