Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= -2 t+6 y= -t+ 10 Written as a Cartesian equation, this becomes

Q: The following are the parametric equations for the motion of an object:

A: This question is taken from the calculus in which we have to find the slope from the given…

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

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Q: Rewrite the Cartesian equation y = 6x² as a polar equation. (0) |

A: The given Cartesian equation is:y=6x2To convert in polar

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

A: We will find the time taken by the rocket to hits the ground as shown below

Q: If x(t)=9sint+2 and y(t)=5cost+5, eliminate the parameter to write the parametric equations as a…

A: sin2t + cos2t = 1

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 rectangular equation 3x - y = 6  to a polar equation that expresses r in terms of θ.

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Q: Write each pair of parametric equations in rectangular form. Then sketch the curve. 8) x= 4cos t+ 1,…

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Q: Convert the rectangular equation x2 + y2 = 16 to a polar equation that expresses r in terms of θ.

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Q: Eliminate the parameter in the parametric equations a(t) = -3t – 1 and y(t) =-15t – 10 to write a…

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Q: Convert the rectangular equation x2 = −2y2 + 5x2 y2 to polar equation

A: The rectangular equation is x2=-2y2+5x2y2

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

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Q: rewrite the cartesian equation y=5x2   as a polar equation. r(theta)=

A: WE DRAW THE GRAPH

Q: Use the parametric equations shown below to answer the following. x = tV3 y = 3t - and

A: Given the parametric equations: (a) To plot the graph of these parametric equations using a…

Q: Convert the rectangular equation x2 + y2 = 9 to a polar equation that expresses r in terms of θ.

A:

Q: Find two different sets of parametric equations for the rectangular equation   y = x3

A: y=x3 Let x=t, then y=t3 Let x=t+1, then y=t+13

Q: If æ (t) = -2sin t and y(t) = 3cos²t, eliminate the parameter to write the parametric equations as a…

A:

Q: Eliminate the parameter in the parametric equations a(t) = –8t – 9 and y(t) = –32t + 9 to write a…

A: Given parametric equations, x(t)=-8t-9 y(t)=-32t+9

Q: 7) Find a rectangular equation equivalent to the given pair of parametric equations. x=2t-1 „y=t^2;…

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

A:

Q: ewrite the parametric equation as a Cartesian equation by building an x-y table. [x(t) = 2t – 5 Lyt)…

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Q: Find two different sets of parametric equations for the rectangular equation y = 4x - 3.

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Q: Write the parametric equations in rectangular form. y= 2f + 6 x = 5t – 8 -

A: Given,           The parametric equations are             y=2t2+6             x=5t-8

Q: Explain how you would graph the following set of parametric equations by plotting points and…

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Q: Eliminate the parameter in the parametric equations x(t) = e³t and y(t) = 3e' to a Cartesian form of…

A: Givenx(t)=e3t    ....(1)y(t)=3et     ....(2)

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= 5 y= f10…

A: Write the following parametric equation in cartesian equation

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

A:

Q: 4. Eliminate the parameter and write the parametric equation in rectangular form x = 3 sece, y = 5…

A:

Q: Eliminate the parameter t to rewrite the parametric equations as a Cartesian equation Į x(1) = (t –…

A: Given equations x(t)=(t-1)2 y(t)=e3t To convert given equations into cartesian equation we need to…

Q: Write the parametric equations in the given Cartesian form. X = x = 2t - t³, y = 9 - 2t

A: To convert the parametric equation to Cartesian equation.

Q: Find two different sets of parametric equations for the rectangular equation y = x2 - 3.

A: Find two different sets of parametric equations for the rectangular equation y = x2 - 3

Q: Rewrite the Cartesian equation y=4x^2 as a polar equation. r(θ) =

A:

Q: Write the parametric equations x=3t−1, y=3−3t as a function of x in the Cartesian form.y=

A: Given: The parametric equations x=3t-1 and y=3-3t

Q: Write the parametric equations = Vi, y = 2 – t x in Cartesian form. y = with x > 0

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Q: Find two different sets of parametric equations for the rectangular equation: y = 2x - 5.

A: Given, y=2x-5

Q: Convert the rectangular equation x2 + y2 = 100 to a polar equation that expresses r in terms of θ.

A: Convert the rectangular equation x2 + y2 = 100 to a polar equation that expresses r in terms of θ.

Q: Find two sets of parametric equations for the given rectangular equation. y = 8x + 4

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. y= 3/E-4…

A: In this question , we can eliminate the parameter 't' and rewrite the equation as a cartesian…

Q: Write the parametric equations x = 4t – t³, y=2 – 3t in the given Cartesian form.

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Q: Find two different sets of parametric equations for the rectangular equation  y = x2

A: y=x2 Let x=3t, then y=3t2=9t2 Now let x=4t, then  y=4t2=16t2

Q: Find a set of parametric equations for the rectangular equation. y=(x+3)2 /5

A: Refer to the question, we have to write the set of parametric equations for the rectangular equation…

Q: Write the parametric equations in rectangular equation form by eliminating the parameter.

A: Please refer the attached image for complete solution. THANK YOU

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: b) y= 3x² +1

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Q: Rewrite the Cartesian equation y 3x2 as a polar equation.

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Q: Write the parametric equations x = 5t – t, y= 2 – 5t in the given Cartesian form. x =

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Q: Write the parametric equations, x= 2et   y= 5e-t ,  as a function of x in Cartesian form.

A: