Given a pair of parametric equations x = 4t - 5, y= 2t + 3. i. Eliminate the parameter of t to obtain the equation in terms of x and y. ii. By using part (i) or otherwise, sketch the graph of the equation. Hence, identify the conic/shape and its vertex. You may use the given graph раper.

Q: In the given equation as follows ,  find a set of parametric equations for the line or conic :- see…

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Q: In the given equation as  follws , find a set of parametric equations forthe rectangular equation…

A: Given :                 y = 2x -5 , t=0 at point (3,1)

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: Eliminate the parameter and obtain the standard form of the rectangular equation. Hyperbola: x = h +…

A: Hyperbola: x = h + a sec θ, y = k + b tan θ We need to eliminate the parameter to obtain the…

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

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Q: Which option is a complete set of solutions of the equation x +2y-4z=13, written in parametric form…

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

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Q: snip

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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: Find two different parametric equations for rectangular equation. y=-2x+4.

A: Two different parametric equations for the given rectangular equation y=-2x+4

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: Find the parametric equations for the line in which the planes -4x +y+3= = 5 and 2x+y+ = 3…

A: Given that:-4x+y+3z=5    .............(1)2x+y+z=3          ..............(2)

Q: The parametric equations for x3+y/3-4 , when 0s0<2n are:

A: See the attachment

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: i) Eliminate the parameter for the given set of parametric equations, sketch the graph of the…

A: Given: x=6-7 e-2t &amp; y=4+3 e-2t To eliminate the parameter t &amp; to sketch the graph of…

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

A: We can find the point as below

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

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Q: In Problem, graph the curve whose parametric equations are given and show its orientation. Find the…

A: The given equation is x=t,   y=t32,   t≥0. Sketch the graph of the above equation as shown below.

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

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Q: Find two different sets of parametric equations for the rectangular equation y = x2 + 4.

A: To find the set of parametric equations

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: Find the parametric equations of the line r = ⟨1, 2, 3⟩ + t(4, 0, -6⟩.

A: Given: r→=1,2,3+t4,0,-6 for any given vector equation of line r→=a,b,c+tp,q,r, parametric equation…

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: 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: Solve number 6 please and find the tangent line(s) at the pole,(not point )

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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: 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 the parametric equations for the path of a particle that travels three quarters of the way…

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Q: A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder…

A: for the right angle triangle, use the Pythagorean theorem  ................(1) the location of the…

Q: A golf ball is hit upward, with an initial velocity of 45 meters per second, at an angle of 65° with…

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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: Suppose you have the parametric equations x = 4cos(6) y= 6sin( 6 ) %3D Eliminate the parameter and…

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Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= -2 t+6 y=…

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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 =…

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

Q: The parametric equations x = sect and y = tan t , 0 <ts 2n, represent hyperbola.

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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: Find the parametric equations for the line passing through points P(2, -3, 1) and Q(4, 1, -4)

A: Given points are  P2,-3,1,Q4,1,-4

Q: Find a set of parametric equations to represent the graph of the rectangular equationy = 3 − x2…

A: Given:  rectangular equation:  y=3-x2 ...(1)(a)…

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: Find a set of parametric equations for the parabola whose equation is y = x2 - 25.

A: We have to find a set of the parametric equation for the given parabola    y=x2-25   Consider the…

Q: Find parametric equations for the path of a particle that moves along the circle x 2  + (y - 1)2…

A: A particle that moves along the circle .

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Circle:  x = h +…

A: x=h+r cosθ , y=k + sinθ