A curve's parametric equation is given by 3t 3t2 || Y = 1+ t3 ' 1+t3

Q: Find parametric equations for line that is tangent to the curve x=cost, y=sint, z=t at the point…

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Q: 1) Find the parametric equations of the line that is tangent to circle x² + y2 = 25 %3D at point (3,…

A: Given: Equation of circle: x2+y2=25 and tangent at point 3, -4

Q: find parametric equations for the given curve.  Line through (2, 5) perpendicular to y = 3x

A: Find parametric equations for the given curve.  Line through (2, 5) perpendicular to y = 3x

Q: Which of the following is the equation of tangent line of the curve that is given 2t by parametric…

A: As two Questions are given , I will solve the first one :We are given  the parametric Equations :…

Q: A curve is defined by the parametric equations a(t) = 2 cos(5t) and y(t) = -7 sin(-10t). Find .

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Q: Which of the following is the equation of tangent line of the curve that is given by parametric…

A: Tangent to a curve at a point is a line that just touches the curve at that point and in some sense…

Q: Consider the parametric equations x = 2t – 5, y = 6. dy Use the derivative formula from Section 10.2…

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Q: The graph of the curve described by the parametric equations x = 2t2 and y =t³ – 3t has a point…

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Q: Sketch the curve with parametric equations x = sin t y = sin2t

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Q: x = 2t2 – C : 3t + 1 y = et²-1

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Q: 2) Graph the x, y-curve described by the parametric equation by eliminating t from the equation. x =…

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Q: Find parametric equations for the given curve. y = 4x2 - x

A: The given curve is y = 4x2 - x

Q: Find the cartesian equation of the curve x = 2 sin (2t) and y = 3sin (t). Graph.

A: To find the Cartesian equation of the given curve.

Q: Find the equation of the tangent line of the parametric equations x = 2 – 3 cos 0, y = 3+2 sin 6 at…

A: Given that: x=2-3cosθ and y=3+2sinθ

Q: Given the curve with parametric equations, find the slope and the equation of the tangent line at…

A: Here we have to find the Slope of tangent line at indicated points . We are given parametric…

Q: Find parametric equations and a parameter interval for the motion of a particle starting at the…

A: Given,

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: Consider the parametric curve defined by x = 2020 cos t y = 2020 sin t π Find the slope of this…

A: Slope of a curve at some point is the value of the derivative at that point.

Q: Find the equation of the tangent line to the parametric curve x = 2t2 and y = 7t2 – 2t3 – 1 at the…

A: find the slope of function using the chain rule and then use the equation  of a tangent line to…

Q: Eliminate the parameter in the parametric equations x = 7+ sint, y = 2+ sint, for 0sts, and describe…

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Q: A particle is moving along the curve given by the parametric equations x=1+t, y=1−t. Determine the…

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Q: Find the equations of the lines tangent and normal to the curve given by the parametric equations…

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Q: Which of the following is the equation of tangent line of the curve that is g by parametric…

A: We have been given the parametric equation  x=e2t, y=2cost+6sint at a point (1, 2).

Q: Graph the parametric curve x=2t-3, y=6t-7 by

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Q: The derivative I of the parametric equations and y=5vt is

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Q: Find an equation of the tangent line for.10 a curve defined by the following parametric equations x…

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Q: 9. Show that the curve with parametric equations x = sin t and y = sin(t + sin t) for 0st s 2n has…

A: Given that the curve with parametric equations are x=sint,y=sint+sint. First find the slope that is…

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +…

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Q: Which of the following is the equation of tangent line of the curve that is given by parametric…

A: Given: The parametric equation of a curve is x=3 cos t+2 sin t ,  y=e6t To find: The equation of the…

Q: 9. Find the exact length of the parametric curve for the given interval. x = 4t 2 - 3, y = 3t, 0 St5…

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Q: Find the length of the curve defined by the parametric equations

A: Given parametric equations are x=(5/6) t and y=5 ln((t/6)2-1) from t=7 to 9 W need to find length of…

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: 10. Find the value of 2 for the parametric curve xx= y = 2t2 -6 at the point (1.-6).

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Q: Which of the following is the equation of tangent line of the curve that is given by parametric…

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Q: The derivative Z of the parametric equations z= 7 sin 3t and y= cos 3t is.

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Q: Find the arc length of the curve on the given interval. Parametric Equations x = 5t + 5, y = 7- 2t…

A: The parametric equations of the given curves are   x=5t+5,  y=7-2t and the given interval is -1≤t≤3…

Q: Which of the following is the equation of tangent line of the curve that is given by parametric…

A: Given the parametric equations x=3cost+2sint and y=e6t . We need to find the equation of the tangent…

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

A: make a table values t x=t+sint y=cost -π x=-π +sin-π=-π +0=-π =-3.14 y=cos-π=-1 -π2…

Q: 5. Determine the slope of the tangent line, the the equation of the tangent line, and the concavity…

A: this is the equation of tangent line.

Q: x = 2 cos(3t) – 4 sin( 3t) IT t = 2 y = 3 tan( 6t)

A: given,        x=2cos3t-4sin3t   and y =3tan6t

Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: Find an equation of the tangent(s) to the curve with parametric equations x = 1 + √t, y = e^(t^2)…

A: Given parametric equation of curve x=1+t   y=et2we want to find equation of tangent at  ( 2, e)

Q: Find parametric equations for the tangent line to the curve of intersection of the following two…

A: We have to find parametric equations for the tangent line to the curve of intersection of the given…

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

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Q: Make a graph of the curve defined by the parametric equations X = t -5 on the interval 0 sts 3 y=t?

A: Given x=t-5 y=t2   0≤t≤3

Q: Draw the curve given by the parametric equationsx=t3+t2−t,y=t3+2t2−4t.

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

A: The objective is to sketch the curve generated by the parametric equation with the arrow as t…

Q: 1) Find the parametric equations of the line that is tangent to circle x² + y² = 25 at point (3, -4)

A: Given, Equation of circle: x2 +y2=25 at a point (3,-4). now, parametric equation of the line is…

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –…

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