For the parametric equations: 22e2t and y = 47et

Q: For the parametric equations: x = 23e-4t and y 44e5t dx (?)

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Q: Graph the parametric graph and find the corresponding rectangular equation by eliminating the…

A: Given,

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

A: Given the parametric equationsx=2t2y=t4+1

Q: For the parametric equations: = 31e-4t and y = 32et %3D da

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Q: For the parametric equations: a = 12e2t and y = 23e3t %3D da (i) dt dy (ii) dt dy (iii) dx ||

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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: O Write the parametric equations x = 2t – °, y = 9 – 4t iven Cartesian form.

A: We have to write the given parametric equations into cartesian form

Q: A cheetah can run at 105 feet per second, but only for 7 seconds, at which time the animal must stop…

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Q: In the given equation as follows , sketch the curve represented by theparametric equations (indicate…

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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: Given the parametric equations, x = 3/t and y = t - 2, eliminate the parameter. y = --2 y = +2 y =…

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Q: Given the parametric equation. x = 2 cost y = 3sin t 0<t<2n

A: For (B), We need to find the curve whose parametric equation is given above.

Q: For the parametric equations: a = 30e2t and y = 47e3t %3D %3D da (i) dt dy (ii) dt dy (iii) da || ||

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. Sx(t) = 5t – 2…

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

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Q: Given the parametric equations x = 3t2 and y = 4t3 , find (without eliminating t) dy а. and dx d²y…

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Q: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

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Q: Complete the parametric equations for the line where the planes -+ 4y+ 13z = - 3x + 5y = 21 and 10…

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Q: A particle moves on a trajectory described by the parametric equations x(t)=2t, y(t)=8t, t≥0. What…

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Q: gure to the right as the parameter. (x, y) 12 ind parametric equations for the particle's motion.…

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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: Find for the following parametric equations. dx2

A: First we find dy/dx  dy/dx = (dy/dt)/(dx/dt) Differentiate y with respect to t dy/dt = 2t…

Q: Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5. Ox-y=31-2 Ox-4:…

A: Given that:t=4x+1To find parametric equation for y=12x+5

Q: For the parametric equations: a = 12e and y = 29e3t dr (i) dt dy (ii) dt dy (iii) dr || ||

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

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

A: We are given the equation of the function in parametric form and we need to find the cartesian form…

Q: What is the Cartesian form of the parametric equations.x(1) =t+ 4 and y(t) = t² + 31 + 1? Provide…

A: To eliminate the parameter.

Q: -4t For the parametric equations: x = 48e and y = 37e5t

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Q: The motion of a particle in space is defined by the parametric equation x(t) = −t2 + 3t + 1, in…

A: Given: x(t)=-t2+3t+1  in meter y(t)=2t+5 in meter

Q: Find length of the curve described by the parametric equations a = 3t2, y = 2t, 0<t< V3. A. 3/3-1 B.…

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Q: Eliminate the parameter in the parametric equations #(t) = 2t + 5 and y(t) = 8t equations. Provide…

A: In this question we will simply eliminate parameter t and get an equation between x and y. Solution…

Q: Consider the parametric equations below. x = t2,    y = t5   Eliminate the parameter to find a…

A: We will solve for t from y = t5

Q: Given the parametric equations, x = 5i and y = t - 2, eliminate the parameter. %3D 2 V = 2 25 V = y…

A: First find value of t using x  then put that value in y

Q: Find the parametric equation of the equation below: y-1 3 +2

A: Given problem is :

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

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Q: What is the length of the curve defined by the parametric equations æ (t) = t² – 2t and y (t) = t³ –…

A: If x=f(t) and y=g(t)are parametric equations of the curve where t ranges from t1 to t2then…

Q: Graph the following set of parametric equations and show the orientation of the curve: x=-3t +1 17.…

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Q: Consider the parametric equations below. x = t?, y = t3 X =

A: Given data:     The first parametric equation is: x=t2. The second parametric equation is: y=t3.…

Q: x = 1 + 4t,    y = 3 − t2

A: Here we extract t from the 1st equation then put this into second equation.

Q: What is the rectangular equation of the curve fro the parametric equation below? x=3t+2,…

A: Consider the parametric equation, x=3t+2y=t+40≤t≤4

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

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Q: For the parametric equations: x = 9e-4t and y = 8e5t %3D dx dt dy (ii) dt %3D dy (ii) dx (write the…

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Q: find the parametric equation for each of the following a.) for the line of slope 2 passing through…

A: a) Firstly, we will find the equation of line of slope 2 passing through the point (-2,4) by using…

Q: For the parametric equations: a = 16et and y 18e %3D da (i) dt 32*e^(2t) %3D dy (ii) dt 54*e^(3t)…

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Q: Given the parametric equations I = dy 9t2 and y = 4t, then %3D 2t Windows bD

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Q: For the parametric equation: x = 4t - 3 & y = t? +4, find dy/dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the length of the curve given by the parametric equations z = 2t3/2 0 <t< 4 ' y = 3t + 1

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