Consider these parametric equations. x = 5t +1 y = -t3 a) Graph the curve C for -2

Q: Plot the set of parametric equations by making a table. You mušt indicate the orientation…

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Q: Find parametric equations for each of the following. The circle of radius 2, centered at (0, 3, 0)…

A: We should understand that y is going to be constant  and is going to be 3   Now since r = 2 [given]…

Q: A pair of parametric equations is given. x = cos(t), y = cos(2t) (b) Find a rectangular-coordinate…

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = t2 -…

A: Here we have to convert the parametric equation into rectangular equation.  The solution is…

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

A: Please refer to the image below

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

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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: find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should…

A: Definition used -             Parametric equation of a line-             Parametric equation of…

Q: x = 3 – 4t, y = 2 – 3t

A: Solution is given below

Q: Find parametric equations for the trajectory of a particle that moves along the circumference:

A: Given the trajectory of a particle that moves along the circumference

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. = Vt, y =…

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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: The parametric equation for the y-axis is:

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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: Cannot solve

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Q: Sketch the curve represented by the parametric equations x = tan2 θ,             y = sec2 θ…

A: Given that, x=tan2θ, y=sec2θ

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

A: x = 2+5 cost → x-25=cost    y = 3+2 sint → y-32 = sint  Square both equations and add them.…

Q: 3. For each pair of parametric equations, find the rectangular-coordinate equation for the curve by…

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

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Q: Construct parametric equations describing the graph of the line passing through the following…

A: Topic = Coordinate geometry

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = Vt, y…

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Q: How to Graph the following parametric equations by hand, using values of t in [-2,2].make a table of…

A: Given  parametric equation is X = t-2 Y = 2t² So Y = 2*(X+2)² Y = 2X² + 8X + 8

Q: 8. x 2t2, y =t + 1 ||

A: We use substitution method to eliminate parameter

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

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Q: The graph of the curve described by the parametric equations x = 4t −1, y = 3t + 2 is a straight…

A: For a line passing through the point (a,b) and parallel to the vector (c,d) its parametric equation…

Q: Graph the curve given by the parametric equations below, and show its orientation. x=2 sin t, y=2…

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

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Q: Without using a calculator, convert the parametric equations of a curve into rectangular form. No…

A: Given that parametric equation and convert this equation into rectangular form and State the domain…

Q: A curve C is defined by the parametric equations x=. =r², y=r -3t .

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Q: In two or more complete sentences, explain how to find the time it takes for a rocket follow 3t and…

A: Introduction: A parametric equation is a type of equation that uses an independent variable called a…

Q: 7) Find the parametric equations of the line that is tangent to circle x² + y? = 25 at point (3, -4)

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Q: Sketch the parametric equations by eliminating the parameter. x = sec(t), y = tan(t) y y 4 4 2 X -4…

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Q: QV Find the Parametric equation for through a Point (5,3,-4) and Per Pendicudar to (ine Passes the…

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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: 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: Sketch the curve represented by the parametric equations x = 1 + 8t,                 y = 3 − 4t…

A: x=1+8t,  y=3-4t When t=0, x=1+80, y=3-40⇒x=1, y=3 When t=1, x=1+81, y=3-41⇒x=9, y=-1 Now the graph…

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

A: Any point on the Cartesian coordinate system is defined as x, y. Start from the origin, move m units…

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

A: Given,

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 t to rewrite the parametric equation as a Cartesian equation. (x(t) = 5 - 3t…

A: Please see the answer in step 2

Q: Sketch the parametric equations by eliminating the parameter. x = sec(t), y = tan(t) **** 4 2 2 2 -4…

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Q: Suppose parametric equations for the line segment between (7,-3) and (8, 2) have the form: Т a + bt…

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

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

A: Given parametric equations

Q: Find a set of parametric equations for the rectangular equation that satisfies the given condition.…

A: Given

Q: 3) (i) Eliminate the parameter to find a Cartesian equation of the curve. (ii) Sketch the parametric…

A: Our objective is to eliminate the parameters to find the cartesian equation of the curve and sketch…

Q: X= I-F . Y= 6+2T

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Q: The trajectory of the spaceship Excelsior during the first 5 minutes of the launch can be…

A: Given  HT=2008-0.047T3+18.3T2-345TRT=4680e0.029T