Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: S¤(t) = – 5t2 ly(t) = 8 + 2t %3D The resulting equation can be written as x =

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Q: a) Eliminate the parameter to find equation for..! a Cartesiar X = 2t -1, y=#t+|

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

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Q: Line integrals Evaluate the following line integral using a method of your choice.

A: We will use Green's Theorem to evaluate the integral , according to which we have

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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) = 3t2…

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Q: What is the numerical approximation to 1 3 -dx -1 2+x using the basic trapezoidal rule? (а) 0 (b) 2…

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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: Find dy/dx and d2 y/dx2 , and find the slope and concavity (if possible) at the given value of the…

A: The given parametric equations are Now,find the derivative with respect to t Here, the given…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: The equation + dx y = xy can be classified as FOLDE and Bernoulli’s equation. A True False

A: True.

Q: Evalwate f, the inaicated point. (Y.y) and Fy y,y) CY.y) at 3. at (l,3)

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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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Q: Given the data points, determine the y at x = 0 using Lagrange method. -1.2 0.3 1.1 y -5.76 -5.61…

A: Suppose we have three points x1,y1,x2,y2 and x3,y3 then by Lagrange approximation  quadratic…

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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: e length of the curve y = V 4 – x2, 0 <x< 2. ing the shape of the curve.

A: Use the arc length formula to find the length of the curve.  y=(4-x2)1/2 , 0&lt;=x&lt;=2

Q: A curve is defined by the parametric equations x (t) = e¬t and y (t) = e3t. What is d'y in terms of…

A: The solution for the above problem is shown below.

Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

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Q: ) Eliminate the parameter t to find a Cartesian equation for: x = t² and y = 3 + 5t. and express…

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Q: Find the point on the curve y = Vx closest to the point (1,0).

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Express æ = e-t, y = 2e2" in the form y = f(x) by eliminating the parameter 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: Find dy/dx and dy/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Find at the given point without eliminating the parameter. dx2 1?, y = , X = 2 t = 2 3

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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: Find parametric equations for the tangent line at t=3 for the motion of a particle given by…

A: To work out the equation of the tangent in terms of t

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: 3t2 Sæ(t) L y(t) -…

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Q: Eliminate the parameter to find Cartesian equation of the curve: x=2 sint, y = 5 cost, -n <t<n 6. a

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Q: Eliminate the parameter t to find a Cartesian equation in the form x=f(y) for: {x(t)= −5t^2 y(t)=…

A: Any curve in the rectangular coordinate is parameterized by using a single variable, say, t to…

Q: Find dy/dx and d?y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: H.W/ A/ Find e* dr approximately using the Trapezoidal rule with n 10.

A: Given integration is ∫13ex2dx here a=1, b=3 and n=10 It means [1,3] is divided into 10 subinterval.…

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A: Take the derivative than eliminate the extra terms as required.

Q: Consider the following. x = et, y=e-2t (a) Eliminate the parameter to find a Cartesian equation of…

A: Given  x=et  ,  y=e-2t   Then we can find out cartesian curve by eliminating parameter 't' .

Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

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Q: Find dy/dx and d2y/dx2 , and find the slope and concavity (if possible) at the given value of the…

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Q: Find the solution of the equation dy -y = x dx | subject to the condition y(1) = 2. %3D

A: Given differential equation is xdydx-y=x and y(1)=2

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: Eliminate the parameter t to find a Cartesian equation in the form x=f(y)x=f(y) for: {x(t)=−5t2…

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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…