Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = t2 - 5, y = 4

Q: The following are the parametric equations for the motion of an object:

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Q: In  the given equation as follows , sketch the curve represented by theparametric equations…

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Q: For the parametric equations: = 31e-4t and y = 32et %3D da

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: Given : x(t) =  e4t, and y(t) = e7t Let x = e4t       e4t = x Taking both side log, log(e4t) =…

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A: The given parametric curve is  x(t) = 3-t, y(t) =2t,   0≤t≤3 Here,  parameter is t.   We have to…

Q: For the parametric equations: 22e2t and y = 47et

A: Derivative: - The derivative formula is one every of the foremost fundamental notions in calculus,…

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

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Q: Complete the parametric equations for the line where the planes – 4

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Q: - Draw the graph of the following parametric equations, and find the Cartesian equations. 1) x = 6t…

A: Apologies. We only answer one question at a time. We will answer question 1 as the exact one wasn't…

Q: snip

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Q: Given the set of parametric equations x = 2t2- 1 and y = 3t + 4, eliminate the parameter t and…

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Q: Write each pair of parametric equations in rectangular form. Then sketch the curve. 8) x= 4cos t+ 1,…

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Q: Eliminate the parameter in the parametric equations a(t) = -3t – 1 and y(t) =-15t – 10 to write a…

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Q: In Problem, graph the curve whose parametric equations are given and show its orientation. Find the…

A: x=t2+4,  y=t2-4;    -∞&lt;t&lt;∞ To find the rectangular equation of the curve, consider…

Q: The parametric equation for the y-axis is:

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Q: Given the parametric equations, x = t - 1 and y = -t, find the point on the graph at time, t = 4.…

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Q: A pair of parametric equations is given. = 4t2, y = 8t3

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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.

Q: Consider the following parametric equations x=3+2t -t y=t+1 , -1<t<3 Sketch the graph of the…

A: Given query is to find the graph of the parametric equation.

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

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

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Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the…

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Q: x = 1 – t², y = t – 2, –2 <t< 2

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Q: Which set of parametric equations represents the curve shown in the figure? Select the correct…

A: The graph given above is the graph of transformation of                                  y=ex  it is…

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

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

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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.

Q: Find two different sets of parametric equations for the rectangular equation y = x2 - 3.

A: Find two different sets of parametric equations for the rectangular equation y = x2 - 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: Graph the curve whose parametric equations are given, and show its orientation. Find the rectangular…

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Q: Identify the parametric equations that represent the same path as the following parametric…

A: the given path is  x=t y=3t2-4 take t=x y=3x2-4.............the given path

Q: Find the parametric equation from the given rectangular equation a.    y = 3x-3   b.   y= (x-3)2 /2

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Q: Find the Cartesian equation of the curve defined by the following parametric equations . after…

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Q: A curve C is defined by the parametric equations x = 1, y =ť - 3t .

A: Given: So,            y=t3-3t⇒yt=t2-3⇒yt2=t2-32⇒y2t2=t2-32⇒y2x=x-32⇒y2=xx-32

Q: Graph the following set of parametric equations and show the orientation of the curve: x=-3t +1 17.…

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Q: Find the Cartesian equation and graph the curve whose parametric equations are: X=-2+3t Y=1-2t

A: The given parametric equations are X=-2+3t and Y=1-2t To find the cartesian equation of the given…

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. y= 3/E-4…

A: In this question , we can eliminate the parameter 't' and rewrite the equation as a cartesian…

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

A: Solution

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for involving…

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Q: Given the set of parametric equations x = 2t2 - 1 and y = 3t + 4, eliminate the parameter t and…

A: Solution:x=2t2-1    and y=3t+4To eliminate t and describe the graph of the resulting equation.

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

A: Given that, x=t2+2y=t

Q: Consider the parametric equations below.x = 4t - 3y = 3t + 1(b) Eliminate the parameter to find a…

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

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

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

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Q: Given the parametric equation: x=2sint-3, y=2cost+5, 0 less than or equal to t less than or equal to…

A: Given x=2sint-3, y=2cost+5   , 0≤t≤2π

Q: Write the parametric equations, x= 2et   y= 5e-t ,  as a function of x in Cartesian form.

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