Eliminate the parameter in x = -t +2t and y =t-4 and then identify the parametric curve and sketch its image in the xy-plane on a piece of paper.

Q: Find a function y = f(x) that describes the parametric x = -2t + 1, y = 3t², for – o <t < ∞. curve

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Q: Eliminate the parameter from the parametric equations to find the rectangular equation for the…

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Q: Eliminate the parameter t from the parametric equations x = 3 cos t, y = 5 sin t and then sketch the…

A: In eliminating parameter t from the given parametric equations we do establish the relationship…

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: Sketch the curve defined by the parametric equations x = t2, y = t + 1, -∞ &lt; t &lt; ∞.

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Q: Find the points on the parametric curve c(t) = (3t2 − 2t, t3 − 6t) where the tangent line has slope…

A: Given curve: So,

Q: 4. Find the parametric equations for the tangent line to the curve of intersection of the y? z1…

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Q: Find the equation of the line tangent to the parametric curve (pictured below) defined by I=, y=t+t…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A: Given surfaces are And the given point P is

Q: Which is a parametric equation for the curve y = 9 – OA. c(t) = (t, 2 + t) OB. c(t) = (t, 9 – 2t)…

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Q: find parametric equations for the given curve. y = x2, translated so that the minimum occurs at…

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Q: Sketch the plane curve represented by the parametric equations x = Vi and y = 2t – 1 by eliminating…

A: Sketch the plane curve represented by the parametric equations             x=t     and     y=2t-1 by…

Q: Find the exact length of the parametric curve x =1+3t², y = 4+2r°, 0<t<2.

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Q: the length of a parametric curve: x = 2t + 1 ; y = t2 - 3 ;  0 < t < 5

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Q: 7. Sketch the curve with parametric equations z =e, y =e', teR.

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Q: find the slope of the parametric curve x=-6t-5, y=3t^3, at the point t=3

A: To find the slope we have to find dy/dx For that we find dx/dt and dy/dt first

Q: z = In(x²y*) + / x² + y²

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Q: Sketch the curve defined by the parametric equations x = sin πt/2, y = t, 0≤ t ≤ 6.

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Q: Sketch the curve with parametric equationsx = 3t − 4, y = 3 + t^3

A: Here we have to sketch the curve with parametric equations.  x=3t-4; y=3+t3

Q: iminate the parameter in the parametric equations x(f) = 5t – 8 and y(t) = Vt – 5 to find a…

A: Given: The parametric equations are xt=5t-8 and yt=t-5 Given query is to find the Cartesian…

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z =…

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Q: Without eliminating the parameter t, find a Cartesian equation for the lin curve C, defined by the…

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Q: Find the distance from the point (3, 2, 5)to the line with parametric equations x=t,y =l +t ,z = 2 +…

A: The equation of the line in matrix form:                                                xyz = 012 +…

Q: Find an equation of the tangent(s) to the curve with parametric equations tsint at the point…

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Q: Find the exact value of x²y³z ds, where C is the curve with parametric equations x = e-t cos(5t), y…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: A parametric curve is defined by : I) x = 5sin(t ) – 2; y = 1– 3 cos(t ) ; 0sisa

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the length of the parametric curve x = e^t + e^-t, y = 5-2t on the interval [0,3]

A: Find the length of the parametric curve x = e^t + e^-t, y = 5-2t on the interval [0,3].

Q: Find a parametric description for the curve y=4-x^2 from (-2, 0) to (2, 0) such that t=0 corresponds…

A: Given: The curve y=4-x2 from (-2,0) to (2,0)

Q: 6. Locate all the points (if any) of the horizontal and vertical tangents to the curve defined by…

A: Consider the given equations,x=t2-t,y=t3-3tFind derivative with respect to…

Q: Find an equation of the line through (0,0,0) that is parallel to the e parametric equations x(t) = 2…

A: To find out equation of any line we need one point on the line and a vector which is parallel to the…

Q: Find an equation of the tangent(s) to the curve with parametric equations x = t cost, y = tsin t…

A: Given- x=tcost , y=tsint To find - To find the equation of tangent to the curve with given…

Q: Match the parametric equation with the corresponding plane curve displayed. Sx=47-5 y=16 130 104 78…

A: The given parametric equation is: x=4t2-5y=16t4

Q: Find a parametric description for the curve x=y^2-9 from (0, 3) to (-5, -2) such that t=0…

A: We need to parametrize the curve x=y2-9 from 0,3 to -5,2 We need to put either x=t or y=t and see a…

Q: Find the parametric equation of the line tangent to the curve of intersection of the cylinder…

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Q: Find the length of the curve whose parametric equations are x = 3t^2 and 3t^3, from t = 0 andt = y =…

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Q: 4. Find the parametric equations for the tangent line to the curve of intersection of the y z 1…

A: Given:

Q: Find the length of the parametric curve x = 2t + 1, y = 3 + 2tž, 0 < t <%.

A: Find the Length of the curve

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: Given, the surfaces:               x+y2+2z=4,   x=1  Point: (1, 1, 1) Let         z = 1-2t

Q: Find the asymptotes of the curve defined by the parametric equationsx=φ(t)=1t−2,y=ψ(t)=tt−1.

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Q: Determine the length of the parametric curve given x = 6 sint, y = 6 cost, ㅠ 0 ≤ t ≤=.

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Q: 7. Sketch the curve with parametric equations x = e-t , y = e', teR.

A: Topic = Functions

Q: Sketch the plane curve represented by the parametric equations x = Vi and y = }t + 1 by eliminating…

A: The parametric equations are given by x=t   …1 and y=12t+1   …2 Take the square of the equation (1)…

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

A: x=-t+9t, y=t-4To Find: Identify the parametric curve and sketch it's graph.

Q: List all of the points (x,y) on the parametric curve x=t^3+4t,  y=6t^2 where the tangent line is…

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Q: Eliminate the parameter to find the Cartesian equation for the given parametric curve. = vt +1, y =…

A: Cartesian equations is x^2 - y^2 = 2

Q: Eliminate the parameter in the parametric equations x(t) = –7t – 2 and y(t) = Vt – 8 to find a…

A: givenx(t)=-7t-2..................(i)y(t)=t-8..................(ii)we can rewrite 2nd equation…

Q: Find the length of the parametric curve defined by x=r°, y=t- for 0st<1 7.

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Q: Sketch the curve given by the parametric equations x= t³ - 1 and y= t² + t.

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