Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.

Q: Write Parametric Equations to Represent a Curve for the given curve for the given definitio:

A: In question number 32, we are asked to form only parametric equations, that means equation of x and…

Q: Sketch the curve given in parametric form by the equations below(Dont forget to indicate direction)…

A: The curve of the parametric equation and indicate the direction of the curve formed with the…

Q: find parametric equations for the given curve. y = 8x2 − 3x

A: Given- y=8x2-3x To find- Parametric equations for the given above curve.

Q: Sketch the curve represented by the parametric equations x = 2 + sec θ, y = 3 + tan θ (indicate the…

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Q: x = 3 – 4t, y = 2 – 3t

A: Solution is given below

Q: Find the exact value of the number a so that the length of the curve defined parametrically by

A: We have been given the parametric curves and have to find the value of a constant a.

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

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

A: The graph of the parametric equation x=t+2, y=t can be plotted as the following.

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

A:

Q: This is the problem  If a and b are fixed  numbers, find parametric equations for the curve that…

A: It is required to define the point P in a, b  and θ.

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

A: I am going to solve the given problem by using some simple calculus to get the required result.

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

A: To sketch the graph of the parameric curve ,first we find  x and y values corresponding to each t…

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

A:

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

A:

Q: If a and b are fixed numbers, find parametric equations for the curve that consists of all possible…

A: Solution:GivenIf  a and b are fixed numbersTo find:The parametric equations for the curve…

Q: (a) Find parametric equations for the tangent line to the curve -tcost, y-t, -tsint at the point…

A: We have to find parametric equations for given point-

Q: Sketch the curve represented by the parametric equations x = 8 cos θ,            y = 8 sin θ…

A: given: the parametric equations of the curve are: x=8cosθy=8sinθ

Q: Sketch the curve represented by the parametric equations x = 6 cos θ, y = 6 sin θ (indicate the…

A: The curve represented by the parametric equations x = 6 cos θ, y = 6 sin θ. We need to Sketch the…

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

A: Here, the given parametric equation is: x=1-t2, y=2t-t2, -1≤t≤2

Q: Sketch the curve represented by the parametric equations x = 3 cos θ,             y = 7 sin θ…

A: Given:  x=3cosθ                                                     ...1y=7sinθ…

Q: Sketch the graph defined by the parametric equations x = e' -t and y = 4e? for 0st<2. Indicate on…

A:

Q: If you are given parametric equations of a curve, what is the formula for finding its arclength?…

A: To write the arc length formula for the given types of curves.

Q: Graph the curve defined by the parametric equations

A: Here given parametric equation as x=3t2,  y=2t, -2≤t≤2 Then t=y2

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

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

A: We plug different values of t to find x and y, then plot the graph according to these points.

Q: ANSWOT. 14. x 1+ y=t-1

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Q: Give the parametric curve: x = t3-6t2 y = t2-4t Does every horizontal line intersect the curve? Does…

A: Given: the parametric curve:

Q: Determine the length of the parametric curve given by the following parametric equations

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Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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

A:

Q: Let C be the curve with parametric equations

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Q: (a) What is a parametric curve?

A: If  x  and  y  are continuous functions of  t  on any interval I , then the equations: x=x(t) and…

Q: Which of the following sets of parametric equations correctly represents the curve above

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Q: Find parametric equations for the given curve. Line through (1, -2) with slope 3

A: we know that equation of line which passes through pointx1,y1 and slope is m given by y-y1=mx-x1…

Q: Explain how a pair of parametric equations generates a curve in the xy-plane.

A: Our Aim is to explain the fact that how a pair of parametric equationsgenerates a curve in the…

Q: State the formula to find the Curvature of a curve in parametric form.

A: We will state the required formula.

Q: Sketch the curve represented by the parametric equations Lindices Orientation of the curve), and…

A: Topic :- function

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

A: Solution of above problem is as follow...

Q: What curve is represented by the given parametric equations, show it on the graph including t, x =…

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Q: This is the problem    If a and b are fixed numbers, find parametric equations for the curve that…

A: Let the coordinate of point P is (x,y). In the triangle OCD, sinθ=CDOCsinθ=yby=bsinθ Similarly,…

Q: Eliminate the parameter in x = -t^2+9t and y = t-4 and then identify the parametric curve and sketch…

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Q: Sketch the curve represented by the parametric equations x = t3, y = t2/2 (indicate the orientation…

A: Given a parametric equation,   x=t3                ...(1)  y=t22              ...(2)

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: Find the parametric equations of the line that is tangent to circle

A: Question (1) - Equation of circle - x2+y2 = 25Differentiating on both sides with respect to x -…

Q: Graph the curve whose parametric equations are given. x = -sec t, y = tan t; -<t<

A: x=-sec(t) y=tan(t) -π2&lt;t&lt;π2

Q: Find when the following parametric curve has horizontal and vertical tangent lines and list which…

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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)