6) Convert the following parametric equation to rectangular equations. (x = 2 – 2t fx = 2 tan t – 2| ly = 2+ sect b. 4t2 a.

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A: This question is taken from the calculus in which we have to find the slope from the given…

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A: Given :                 y = 2x -5 , t=0 at point (3,1)

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A: Given : Parametric equations : x = 2sin t,  y = 4 cos t,  0 ≤ t ≤ 2π To find : xy coordinates…

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A:

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. Sx(t) = 5t – 2…

A:

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.

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A: The parametric equations are x=t+sint, y=cos2t and t∈0,2π.

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A:

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A: Eliminate the parameter to form hyperbola

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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: Eliminate the parameter t from the parametric equationsx = 3+1 2 sec t and y =2+  4 tan t.

A: Given parametric equations are x=3+12 sect and y=2+4 tant We have to eliminate the parameter t from…

Q: Find two different sets of parametric equations for the rectangular equation y = x2 + 4.

A: To find the set of parametric equations

Q: Graph the curve given by the parametric equations below, and show its orientation. x= 3 cost, y=3…

A:

Q: 10. Eliminate the parameter and identify the graph of the parametric equation. x = sin t , y = -3…

A:

Q: Eliminate the parameter in the parametric equations x(t) = e³t and y(t) = 3e' to a Cartesian form of…

A: Givenx(t)=e3t    ....(1)y(t)=3et     ....(2)

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= 5 y= f10…

A: Write the following parametric equation in cartesian equation

Q: 4. Eliminate the parameter and write the parametric equation in rectangular form x = 3 sece, y = 5…

A:

Q: 1) (a) Convert the following equations from parametric to rectangular. State the domain and range of…

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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.

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A: In this question we will simply eliminate parameter t and get an equation between x and y. Solution…

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A:

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. Sx (t) = -t ly…

A: See attached file for a step by step explanation to find the Cartesian equation.

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A: Consider the given parametric equation as x=t-2 and y=12t+1

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A: Given data÷

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A: The solution is :

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Q: Find two sets of parametric equations for the given rectangular equation. y = 8x + 4

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Q: Find the Cartesian equation of the curves given by the following parametric equations c y sin 2. r2r…

A: according to the Rule of Bartleby, we will solve only three parts of the question, please post…

Q: 3. Convert the following parametric equations to rectangular equation (a) x = cosh t, y= sinh t (b)…

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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: 18. x = et, y = e2t - 1

A: Solution

Q: Graph the parametric equations below (x(t) = 3 cost + cos 3t ly(t) = 3 sint - sin 3t

A: To graph the parametric equations.

Q: Find two different sets of parametric equations for the rectangular equation  y = x2

A: y=x2 Let x=3t, then y=3t2=9t2 Now let x=4t, then  y=4t2=16t2

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: What is the Cartesian form of the parametric equations æ(t) = 4cost – 1 and y(t) = 5sint + 2?…

A: Here I am attaching image so that you understand each and every step.

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…