Determine A so that the curve y = 4x+ 16 can be written in parametric form as x(t) = t – 5, y(t) At – 4. - 1. А — 5 2. А — —5

Q: Given the parametric function fill in the table. x (t) = t3 - 2t %3D y (t) = t - 3 t x -2 -1 1 2.

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Q: Which of the following is dy for the curve dx defined by x° – y³ = 2xy? 3x2-2y а. 2x+3y2 3x2-2y b.…

A: Find the derivative of the given curve and match with the correct option.

Q: Find a parametric equation of the line tangent to 7 (t) at the point (– 12, 144, – 4.159)

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Q: 3. Let R(t) = (t²,1 - t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

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Q: Let F(t) = < -1² + 5, t4 + t, In a. Determine the coordinates of the point on the curve traced out…

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Q: 2. Consider the parametric curve r = t + 1, y = t - t. dy (a) Find d.r dy (b) Find da?

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Q: Let 7(t) = Find a parametric equation of the line tangent to 7 (t) at the point ( – 5, 3, – 2.773)…

A: The given vector is r→(t)=-2t3-3,t4+2t4,-4ln(2t)  , we have to find a parametric equation of the…

Q: 9. Given the parametric equations x = et and y = te-t, vt. dy (a) Find dx (b) Find dx2 d?y (c) For…

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Q: Consider the set of parametric equations below: Sx(t) = t2 ly(t) = t10 %3D What are the range of…

A: Given that  x(t) = t2 y(t) = t10  Range : Is the output of the function.

Q: Find the length of the curve defined by the parametric equations t, y = 5 In((t/6)? – 1) I = from t…

A: Given, x = 56t , y = 5lnt62-1 = 5lnt2-36-5ln(36)and 7≤t≤10

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: Consider the following. X = Vt y = 3 – t (a) Sketch the curve represented by the parametric…

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Q: A curve C is defined by the parametric equations x(t) = 3 + t“ and y(t) = t° + 5t.Which of the…

A: Given,         A curve C is defined by the parametric equations xt=3+t2 and yt=t3+5t.

Q: The parametric curve 7(t) = t2 i + (3 – t) j + et k as: 2t – 1+ e = 0 - = ť², y = 3 – t, z = et t? +…

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Q: 10. Find the equations of the two tangent lines at the (-1,0) for the parametric curve x = 12- 2, y…

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Q: dy 5. "Z by direct differentiation of the equation in # 4. Show that the value of Find dy calculated…

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