Graph the curve given by the parametric equations below, and show its orientation. x= 3 cost, y=3 sin t, a

Q: find parametric equations for the given curve. y = 9 − 4x

A: The given equation

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A: To find the length of parametric curve on [0,9π/4]

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Q: x = 3 – 4t, y = 2 – 3t

A: Solution is given below

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Q: Sketch the curve represented by the parametric equations    x = et − 1,                    y = e3t…

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

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Consider the parametric equations below. x = 4 + 5t,    y = 1 − t2   Eliminate the parameter to…

A: Calculation:Compute the Cartesian equation as follows.Rewrite x = 4 + 5t as follows t = (x – 4)/5.

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

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Q: Sketch and identify the curve defined by the parametric equations x = sin²t, y = 2 cost

A: Given the parametric equations  x=sin2t y=2 cost To find : Sketch and identify the curve using given…

Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

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

A: Given,

Q: Find the exact length of the curve described by the parametric equations. x = 5 + 3t2, y = 3 + 2t,…

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Q: parametric equation

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

A: Square both the equations.

Q: Sketch the curve represented by the parametric equations x = tan2 θ,             y = sec2 θ…

A: Given that, x=tan2θ, y=sec2θ

Q: Sketch the curve represented by the parametric equations x = t + 1, y = t2 (indicate the orientation…

A: Given: x=t+1, y=t2. first we eliminate t and find equation of curve in x and y x=t+1…

Q: Sketch the curve represented by the parametric equations x = 3 cos θ,             y = 7 sin θ…

A: Given:  x=3cosθ                                                     ...1y=7sinθ…

Q: Sketch the graph defined by the parametric equations x = e' -t and y = 4e? for 0st<2. Indicate on…

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Q: Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the curve…

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Q: x = 1 – t², y = t – 2, –2 <t< 2

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Q: 8. x 2t2, y =t + 1 ||

A: We use substitution method to eliminate parameter

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A: For a line passing through the point (a,b) and parallel to the vector (c,d) its parametric equation…

Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t², y = 9+ 4t³,…

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Q: Consider the parametric equations below.x = 5 + 2ty = 1 - t2 (b) Eliminate the parameter to find a…

A: From the equation for x, write t in terms of x.

Q: Graph the curve defined by the parametric equations

A: Here given parametric equation as x=3t2,  y=2t, -2≤t≤2 Then t=y2

Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: please make curve clear and determine the direction (clockwise or counterclockwise) of the curve.…

A: Given that       x = -3t , y = t2  , -3 &lt;= t &lt;= 2  Here we have to draw the graph.

Q: Graph the curve whose parametric equations are given. x = 2 tan t, y = 5 sec t; 0 <t < 2n

A: To draw the parameterized Curve.  Given that , x=2tan(t) , y=5sec(t) ; 0≤t≤2π.

Q: Find a set of parametric equations that represents the graph of y = 1 − x2, using each of the…

A: Given- y=1-x2 To find- Find a set of parametric equations that represents the  above graph using…

Q: Sketch the curve represented by the parametric equations x = t − 3,                  y = t/(t − 3)…

A: Given: x=t-3                                                  ..1y=tt-3…

Q: Consider the parametric equations below. x = t2,    y = t5   Eliminate the parameter to find a…

A: We will solve for t from y = t5

Q: please make the curve easy to read and determine the direction (clockwise or counterclockwise) of…

A: Data given  X=-t+3   Y=-2t+1  value of t is given in a interval of [0, 5] Find out orientation of…

Q: x = 1– t- t - te [-2,2] y =t – t3

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Q: Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

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Q: Which of the following sets of parametric equations correctly represents the curve above

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Q: The graph of the curve given by the parametric equations x= sint and y=cos2t IS a

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Q: Sketch the curve represented by the parametric equations x = e−t ,y = e2t − 1 (indicate the…

A: The given parametric equations of curves are: x = e^(-t) y = e^(2t) - 1 The graphs of these…

Q: Sketch the curve represented by the parametric equations x = 2t/2, y = t4+ 1 (indicate the…

A: Given parametric equation, x=2t2 and y=t4+1we have to write the corresponding rectangular equation…

Q: Sketch the plane curve represented by the given parametric equation x = 2 sin t - 3, y = 2 sin t +…

A: To sketch a plane curve, first write the equation in terms of two variables. Now, substitute random…

Q: What curve is represented by the given parametric equations, show it on the graph including t, x =…

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Q: Eliminate the parameter in x = -t^2+9t and y = t-4 and then identify the parametric curve and sketch…

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Q: Sketch the curve represented by the parametric equations x = t3, y = t2/2 (indicate the orientation…

A: Given a parametric equation,   x=t3                ...(1)  y=t22              ...(2)

Q: The curve above is defined by which of the following sets of parametric equations?

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Q: 1. Sketch the graph of the curve represented by the parametric equations x = 4cost, y = 4sint 0sts…

A: We have to sketch the graph of the curve and find all points where the curve has a slope of 12.

Q: Sketch the curve represented by the parametric equations x = √t, y = t − 5 (indicate the orientation…

A: Given parametric equation, x=t         ...(1)y=t-5       ...(2)

Q: Sketch the curve represented by the parametric equations x = et , y = e3t + 1 (indicate the…

A: Sketch the curve represented by the parametric equations x = et , y = e3t + 1 (indicate the…