Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sa(t) = – 12 –t ly(t) = 8 - 3t The Cartesian equation is y =

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A: Here the given vector is  r→(t)=2t,t2,t33 a) we have to find parametric equations for tangent line…

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Q: 12. Given the parametric equations r(t) = 3t + 2 and y(t) = t+1 for 0 <t< 4, find the rectangular…

A: For getting the rectangular equation eliminate the t

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Į ¤(t)…

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Q: c) A curve has a parametric equation x = 2t - 1 and y = t* -t'. dy Evaluate dx? 1 at t = 2

A: Given, The parametric equations x=2t3-1, y =t4-t3.

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: S¤(t) = ly(t) = 3t2…

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Q: Eliminate the parameter tto find a Cartesian equation in the form z = f(y) for: S z(t) = 3² ly(t) =…

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Q: 15sin (t), y 8cos (t) 3. Eliminate the parameter to find a Cartesian equation of the curve: x =

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Q: 3) For the parametric system, find and . When is the graph concave up or down? dx dx²° x = t² – 1 y…

A: Given problem is :

Q: '4 I x1/2 dxi n = 8 (a) Approximate its value by using the Trapezoidal Rule.

A: Given: ∫04x dx where n=8 To find: The approximation using the following, a) Trapezoidal rule, b)…

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Q: r4–x²-y² x²y dz dx dy /2-y² Jx²+y² x² + y² by converting to cylindrical coordinates.

A: We will evaluate the given integral.

Q: Suppose the position of a particle is given by parametric equations x(t) = t3-3 and y(t) = 2t2. (a)…

A: Solution: x(t)=t3-3  and y(t) = 2t2

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for S ¤(t)…

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Q: 11. dy _ xy+x² + y² ху+. dx

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? –…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: Consider the order and linearity of the following equations: 1. (y+t)出+y= 1 II. 3 + (t+ 4) y = t² +4…

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sz(t) =…

A: Explanation of the answer is as follows

Q: Eliminate the parameter t to find a Cartesian equation in the form * = f(y) for: [x(t) = −2+² ly(t)…

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A: Given data:     The given x-coordinate in parametric form is: x=t1/2. The given y-coordinate in…

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: S¤(t) = – 5t2 ly(t)…

A: Given query is to find the equation in Cartesian form.

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for S¤(t) =…

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Q: Draw the isoclines with their direction markers and sketch several solution curves, including the…

A: The given differential equation is dydx=3x, y(0)=-3

Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1…

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Q: Solve this equation: ди + a = at %3D u(0,t) = 0 %3D ди (L, t) = 0 az u(z,0) = 2 %3D

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for fæ(t) =…

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Q: Consider the order and linearity of the following equations: I. (y+t)+y = 1 fy II. 34 + (t + 4) y =…

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Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: S r(t) = 3t2 ly(t)…

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sa(t)…

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Q: d y Find dx? for the parametric equation: x = et;y3Dt³ +t+1

A: Find your answer below

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Q: Eliminate the parameter t to find a Cartesian equation in the form x f(y) for: S¤(t) ly(t) 3t? 4 +…

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for (x(t) =…

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Q: (ii) Find for the parametric equations dx2 dy x =t – sint, y = 1 – cost

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for Sx(t) =…

A: Given,           xt=11-t           yt=17-4t

Q: 5. Given the Standard Equation the DE, Identify the roots * d²y d³ y dx³ dx² + dx - 2- m: 1+ √2,0…

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Q: (C) Find parametric equations for the line that is tangent to the curve u(t)=1²1+ sect²j+ √² +3 k at…

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Q: (B) Find the subsequent displacement for a simply supported beam of length (L) take a positive value…

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A: We have to find rectangular equation

Q: A) Solve The Following Equation By (Lagrange Method): пр + ди = 2(x + y)u и %3D и (х, у) и дх ду и…

A: We’ll answer the first question since the exact one wasn’tspecified. Please submit a new question…

Q: 2. Find parametric equations for the tangent line to the curve r(t) = (t8,t³,t7) at (1,1,1).

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Q: Using separation of variables, find a solution to the equation dy = -5t*y subject to the initial…

A: Please refer the attached image for complete solution.

Q: 1. Find and Y and simplify whenever possible. d²y dx dx2 Given parametric equations: x = t3 +1, y =…

A: Since, you have asked multiple questions, we will solve the first question as per company…

Q: Eliminate the parameter t to find a Cartesian equation in the form x = = f(y) for: S¤(t) = 2t? ly(t)…

A: The solution are next step..

Q: -B-2-1 -2 -3- -8- 16+ hich equation best represents the linear functi Oy=-5x + % Dy= -5x+ 3 Dy= % x…

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