Saved Match the parametric equation with the corresponding plane curve displayed. x-8-2 y-644 130 104 78 52 26 -26 -52 -78 -8 -104 -3 -2 -130 -1 2 -7 -2 2 3 22 20 18 16 14 12 10 8. 9 12 15 18 21 24 27 30 RA 6 4. 2.

Q: Sketch the curve given by the set of parametric equations. x=P+4 48 46 44 -42 40 -38 -36 -34 -32 105…

A: We will sketch the curve as following.

Q: 2.) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

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Q: 10 + x 8 10 -10 –8 -6 -4 -2 4 6 -2 -4 -6 -8 -10- Which of the following sets of parametric equations…

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Q: 1. Let P be the point with Cartesian coordinates (6,9) and C be the plane curve with parametric…

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Q: The following are parametric equations of the line through (x1, y1) and (x2, y2): x = x1 + t(x2 -…

A: From x = x1 + t(x2 - x1) we get: x-x1=tx2-x1 t=x-x1x2-x1   From y = y1 + t(y2 - y1) we get:…

Q: The parametric equations of four plane curves are given (a) x = t and y = t2 - 4. (b) x = t2 and y =…

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Q: The parametric equation of the line through the points (2, –4,1), (2, –4,1) and (0,4, –10) is: A. x…

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Q: oblem 20. Does the line with parametric equation x = 21 + 1, y = 3t- 2, z = 2t – 2, 1 e R intersect…

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Q: 7. if x= y=a are parametric equations of a curve, then its Cartesian equation is: A. x²+ y-y D0 B.…

A: As per guidelines we can solve only one question rest can be reposted.

Q: SELECT A Find the length of the parametric curve defined over the given interval. A) B) 2 2, In 2…

A: given that:-x=ety=23e3t/2where,  ln2≤t≤ln5now,dxdt=ddt(et)=etdydt=ddt(23e3t/2)=e3t/2

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

A: option 1 x = 3t -1⇒ 3t  = x+1⇒ 3t  = x+12⇒ t  = x+123Hence y = -2t+1 becomes y = -2 x+123+1 As per…

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

A: To better understand the graph of a curve represented parametrically, it is useful to rewrite the…

Q: 14. State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: Two planes are given by, π1: x-y+z-2 = 0  and π2: 2x+y+z-4 = 0. The objective is to check whether…

Q: 20. Sketch the curve defined by the parametric equations over the given interval. Include the…

A: By putting the different values of t in x and y.we can draw the graph

Q: Eliminate the parameter in the parametric equations x(t) = -6t + 8 and y(t) the equations. = 30t –…

A: givenx=-6t+8....................(i)and y=30t-10...................(ii)x=-6t+86t=8-xt=8-x6

Q: 12. Find the parametric equations of the line that contains the point P and intersects the line L at…

A: Given equation of the line is  L:x=-2+2t , y=4+2t , z=2+t          Then, the co-ordinate of any…

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

A: The given parametric equation is: x=3+t and y=t2-5t, 0≤t≤6 Find the value of t, where y=0:…

Q: 1. (a) Sketch a curve represented by the parametric equations x = 1 - t² and y = 1+t. Then find a…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: 6. Find the parametric equations of the line along which the following planes intersect. t: x +y +…

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Q: Given the parametric equations x =t+1 and y = t – 2 for -3 <t <3, a. Graph the parametric equations,…

A: Given :  x = t + 1            ------(i)    And       y= t² -2          -------(ii)   7 (a)

Q: 8. Let, x - 1- and y -1+1 a) Complete the chart and sketch the curve represented by the parametric…

A: The given parametric equations are x=1-t2 and y=1+t. Complete the given table as follows. t x y…

Q: Consider the parametric equations below. x = t? - 5, y = 3 - 4t, -3 sts4 (a) Sketch the curve by…

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Q: х 3 5t – 4, y = 4t + 2 (a) Sketch the curve by using the parametric equations to plot points.…

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Q: 20. Sketch the curve defined by the parametric equations over the given interval. Include the…

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Q: Consider the parametric equations below. x = t2 - 1, y = t + 4, -3 sts 3 (a) Sketch the curve by…

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Q: Suppose parametric equations for the line segment between (6, 2) and (1, - 5) have the form: S(t) =…

A: Image is attached with detailed solution.

Q: -10 -8 -6 -4 -2 6 8 10 -10+ Which set of parametric equations represents the curve shown in the…

A: According to the graph , we have

Q: The following are parametric equations of the line through (x1, y1) and (x2, y2):x = x1 + t(x2 - x1)…

A: Given: the parametric equations of the line through (x1, y1) and (x2, y2)x=x1+t…

Q: Suppose parametric equations for the line segment between ( – 2, – 4) and (3, 3) have the form:…

A: Given x(t)=a+bt          y(t)=c+dtwhen t=0,x(0)=-2,y(0)=-4⇒ x(0)=a+b0     -2=a      y(0)=c+d0…

Q: -10+ The curve above is defined by which of the following sets of parametric equations?

A: Given data: The value of x in the first option is x(t)=2t-3. The value of y is y(t)=e-2t+4.…

Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…

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

A: topic - parametric equation to rectangular equation correct curve is top left corner y =(x-1)2

Q: Consider the parametric equations below. x = 2, y = t3 (a) Sketch the curve by using the parametric…

A: As t increases, we're going to the right on both. Now to eliminate, x=t^2 So,  t=x^(1/2)…

Q: Consider the parametric equations below. x = 5t - 4, y = 4t + 2 (a) Sketch the curve by using the…

A: Consider the parametric equation  x=5t-4,  y=4t+2

Q: 1. The Cartesian equation of the curve given in parametric equations x = et - e-t , y = e' + et is…

A: As per guideline we have to do only one question

Q: 1. For the parametric equations x=-, 2t? ア= t>0 a) b) Eliminate the parameter to obtain an equation…

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Q: 9.1.2   Sketch the plane curve defined by the given parametric equations, and find an x-y equation…

A: Consider the equations x = 1+2cos(t) and y = -2+2sin(t).

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

A: Given parametric equations, x=et,y=e3t+4 To find y.

Q: 12. Sketch the plane curve defined by the given parametric equations, and find an x-y equation for…

A: The given parametric equations are,

Q: 1:46:29 Consider the following. x = vt y = 5 - t (a) Sketch the curve represented by the parametric…

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Q: 10 + x 2 4 6 8 10 -10 -8 -6 -4 -2 -2 -6 -8 -10+ The curve above is defined by which of the following…

A: we will initially find the vertex of the parabola and then find the equation of parabola then…

Q: -10 -8 -6 -4 4 6 8 10 -10- Which of the following sets of parametric equations correctly represents…

A: Given: The curve as To determine: Parametric equation of given curve.

Q: 1. The path of a particle is described by the parametric equations: x = 3t? + 1, and y = 2t + 1, -2…

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: The parametric equation of the line through the points (2, -4,1), (2, –4,1) and (0,4, -10) is: A. x…

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Q: Suppose parametric equations for the line segment between (7, – 4) and (3, 5) have the form: |*(t) =…

A: The two points are  A=(7,-4) and B=(3,5) The parametric equations are- x(t)=a+bty(t)=c+dt

Q: Which of the following graphs correctly displays the graph of the curve defined by the parametric…

A: The graph of  e-2t+4

Q: Consider the parametric equations below. x = t2 - 3, y = t + 4, -3sts 3 (a) Sketch the curve by…

A: (a) t x y -3 (-3)2-3 = 6 -3+4 = 1 -2 (-2)2-3 = 1 -2+4 = 2 -1 (-1)2-3 = -2 -1+4 = 3 0…

Q: Consider the following. x- 3t + 8, y = 8t + 3 (a) Sketch the curve by using the parametric equations…

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