Find the equation for the tangent line for the following parametric equation, do not change to Cartesian coordinates. Show all of your work. Write your answer as exact answers. x = t? – 6, y = t³ + t,t = -1

Q: Given the parametric equation: x=cos(3t), y=sin(3t), 0 less than or equal to t less than or equal to…

A: Given: x=cos3t ,y=sin3t, 0 ≤ t ≤ π2

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Q: Find the length of the curve for the following parametric equations for 13 < t < 15. Find its exact…

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Q: - For what value(s) of t does the curve given by the parametric equations x= -² -1 and y=t* +2r² –…

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Q: Given the parametric equations x = 2(8 – sin®) and y= 2(1 - cose). The slope of the tangent line to…

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Q: Sketch the path using the following parametric equations x(t) = 3t – 7 and y(t) = 4 sin t+1 0st55,…

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Q: You are given the parametric equations x=10−t^2 , y=t^3−12t List all of the points (x,y) where the…

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

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Q: X =Sint y=DCOs 2t, %3D ミte

A: x= sint , y= cos2t  -π2&lt;x&lt;π2 To find: the Cartesian equation and sketch the curve and indicate…

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A: slope = dy/dx = dy/dt /dx/dt

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Q: Assuming that the curve traces out exactly once, determine the length of the curve given by the…

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Q: Consider the parametric equations x =t - sint and y = 1- cost. Which of the following dy ?…

A: If the parametric equations are  given byx=t-sin t  and  y=1-cos tThen to find the value of dydx.

Q: Sketch the curve described by the following parametric equations: x(t) = 2t - 5, y(t) = t + 3, -1 <…

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Q: Consider the parametric equations. x=t-e', y=t+e a) Find d'y/dx b) Find the point(s) on the curve…

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Q: Which graph shows the curve described by the parametric equations? Sx (t) = 2 sin t y (t) = 4 cos t

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Q: O E Clear select The slope of the given parametric equation when A- 30 degrees is equal to x = 16…

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Q: 5 x = = 5 In((t/6)? – 1) from t = 7 to t = 9.

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Q: You are given the parametric equations x=10−t^2 , y=t^3−12t  List all of the points (x,y) where the…

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Q: The following are the parametric equations for the motion of an object: x(t) = t cos(5t^2 + 2);…

A: Slope is basically how steep a line is. If a line is steep downward then slope is high negative. If…

Q: Consider the curve given by the following parametric equations: x = t2 – 3t + 3; y = t2 – 4t + 1 (a)…

A: Given that x=t2-3t+3 and y=t2-4t+1

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Q: Graph the parametric equations below (x(t) = t - sint ly(t) = 1- cost

A: The given parametric equations are: xt=t-sin tyt=1-cos t Find the value of x and y for multiple…

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Q: The following are the parametric equations for the motion of an object: x(t) = t cos (5t² + 2), y(t)…

A: Given a parametric equation, x(t)=t cos5t2+2,  y(t)=t2 ln(-5t)

Q: 2a) Find the slope of the curve represented by the parametric equations, at 0 = T/6 %3D x = 5+ 3 sec…

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

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Q: Determine the xy-coordinates of the points where the following parametric equations will have…

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Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: Which of the following is the equation of tangent line of the curve that is given by parametric…

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Q: x = 1– t- t - te [-2,2] y =t – t3

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Q: Express in terms of "t" for the following parametric equation: da x = ln(t); y = = sin² (t) and…

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Q: Find the equation for the following parametric equation in rectangular coordinates. x = 2t + 1 y =…

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Q: The curve above is defined by which of the following sets of parametric equations? Select the…

A: Find the equation of the graph.

Q: Find length of the curve described by the parametric equations x = T sin t, y = r cost, e <t< T. А.…

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Q: Find the Cartesian equation of the curves given by the following parametric equations c y sin 2. r2r…

A: according to the Rule of Bartleby, we will solve only three parts of the question, please post…

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: If x(t) = 7 sint+ 9 and y(t) = 8 cos t + 3, eliminate the parameter to write the parametric…

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Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of, does the curve has…

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Q: Consider the following parametric equations  x(t)=et , y(t)=e-5t a) eliminate the parameters to…

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Q: Consider the parametric curve given by the equations x(t) = t + 9t +8 y(t) = t² + 9t + 48 How many…

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Q: Consider the parametric equations x(1) = 1 + 3r², y(1) = 4 + 2r°, 0sts1. a. What is the length of…

A: If the parametric equations of a curve are x(t) and y(t), then the length of the curve over the…

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Q: Consider the parametric curve given by the equations z(t) - + 24t – 6 y(t) - + 24t – 2 How many…

A: The given parametric curves are  x(t) = t2+24t-6  y(t) = t2+24t-2  We have to find the distance…

Q: Sketch the graph of the following parametric equations: x(t) = cos(t); y(t) = sin?(t); t in [-7,0]

A: xt=cost,   y=sin2t ;   t in -π, 0

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…