The motion of a particle in space is defined by the parametric equation x(t)=-t2+3t+1,in meter and y(t)=2t+5,in meter. Determine the acceleration of the particle when t=5 seconds.

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

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Q: The Cartesian equation equivalent to the parametric equations x= 145t andy= 3 + 39t- 16t is: 16 x?…

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Q: Find the parametric equations of the solutions to the following linear system x + 2y – 3z = 4 -2x –…

A: From the given system of equations, we can write the matrix as 12-3-2-4636-94-812 R2+2R1, R3-3R1…

Q: Find a set of parametric equations for the parabola whose equation is y = 9 - x2.

A: Given equation is, y=9-x2

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 set of parametric equations x = 2t2- 1 and y = 3t + 4, eliminate the parameter t and…

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Q: x + y - 2z + w = -2 -X + z + 3w = 3 -x + 2y - z + 11w 5

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

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Q: Rewrite the parametric equation as a rectangular function (cartesian) x = 4t – 4 - y = 16t – 3 -

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Q: Given the parametric equations, x = t - 1 and y = -t, find the point on the graph at time, t = 4.…

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Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

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Q: 4. The trajectory of the spaceship Excelsior during the first 5 minutes of the launch can be…

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Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =…

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Q: Rewrite the parametric equation as a Cartesian linear equation by building an x-y table. Įx(t) ly(t)…

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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: Solve and show all solutions. The motion of a particle in space is defined by the parametric…

A: The motion of particle is described in two perpendicular directions which are x-axis and y-axis.…

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

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Q: Solve the following problems using the concepts of Parametric Equations. Show complete solutions.

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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: Determine whether the statement, 'I represented y = x2 - 9 with the parametric equations x = t2 and…

A: x=t2, y=t4-9

Q: 1. Write the following linear equations as a set of parametric equations: a. y =x+ 4 b. y =x - 3

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Q: The parametric equations for you to solve are: x=t+1 y=t²+4t-2 The answer is y = which generally has…

A: We have to solve these questions:

Q: I represented y = x2 - 9 with the parametric equations x = t2 and y = t4 - 9.Determine whether the…

A: Given: y=x2-9 The parametric equation  x=t2⇒x2=t4

Q: *) Write the parametric equations y = x = 4et, y = 8e-t as a function of x in Cartesian form. with x…

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Q: Find a parametric representation of the solution set of the linear equation. (Enter your answer as a…

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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: 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: 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: A skateboarder riding on a level surface at a constant speed of 9 ft/s throws a ball in the air, the…

A: Given that       A skateboarder riding on a level surface at a constant speed of 9ft/s throws a ball…

Q: Find the solution set in parametric form of the following system: I + 211 + -211 I3 + 214 %3D

A: We have to find the parametric form of the given set of equations.

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

A: Given problem is :

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

A: The motion of a particle in space is defined by the parametric equations xt=-t2+3t+1  &…

Q: B) (10 M) Find the parametric equation of the line through the point p (-2, 0, 5)- and parallel to…

A: Let's find.

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

A: Given, y=2x-5

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: Write the parametric equations x=2sinθ,y=9cosθ,0≤θ≤πx=2sin⁡θ,y=9cos⁡θ,0≤θ≤π in the given…

A: Given information: The parametric equations are x=2sinθ            y=9cosθ             Can be…

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =…

A: Just put the value of t= 3 into the parametric equations and get the required point on the graph.…

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

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Q: Given the set of parametric equations x = 2t2 - 1 and y = 3t + 4, eliminate the parameter t and…

A: Solution:x=2t2-1    and y=3t+4To eliminate t and describe the graph of the resulting equation.

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

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Q: Eliminate the parameter and obtain the standard form of the rectangular equation.

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Q: Find a parametric representation of the solution set of the linear equation. i. x + y = 2 3 x-y - z…

A: We have to find

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

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.