.Skecth the curve represented by the paramet ric equation s (indicate the orient ation of the curve), and write the corr esp onding rect angular equation by eliminating the param et er. (a) = t2 +t, y =t² - t

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Q: Which is a parametric equation for the curve y = 9 – OA. c(t) = (t, 2 + t) OB. c(t) = (t, 9 – 2t)…

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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 a…

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Q: 3. Deduce from the orbit equation (1 + e)ro 1 + e cos 0 that a planet is closest to its sun when 0 =…

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Q: The plot above is created with the parametric equations x(t) = a cos(bt) lylt) = c sin(dt) To…

A: the given equations are as we can see here the domain of x is [-3,3] and the maximum value of x is…

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A: The equation of a line can be obtained by using the expression y-y1=m(x-x1). Here, m is the slope of…

Q: Find the Lengeh fror the foclowing Curves Dr= I+ Cos9 D rel-coso |

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Q: Find the slope of the parametric equations z = 2 cos(3t) – 4 sin(3t), y = 3 tan(6t) at the point t =…

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Q: Consider the parametric equations x(t) = 1 + 3t2, y(t) = 4 + 21³, -1 <t <1. • What is the length of…

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Q: Find the length of the curve defined by the parametric equations 3 -t, y = 3 In((t/4)? – 1) x = 4…

A: Given:- x =(3t/4)  y = 3ln((t/4)2-1)  To find:- Length of curve from t =5 to t=6

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Q: The following figure shows a single-stage gear train. Gear trains are used in many products, such as…

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Q: Find the length of the curve with the given vector equation. r(t) = cos ti+ sin tj+ 3t k; 0sts3

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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

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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: The following curve is in parametric coordinates: x = 2t + 1; y =t3 - 3t; find the points (in…

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Q: Consider the plane curve given by the parametric equations x = t + 22t – 23 y = t2 + 22t – 5 -- What…

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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: The plot above is created with the parametric equations Sa(t) = a cos(bt) ly(t) = c sin(dt) %3D To…

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Q: Consider the following parametric curve. Answer parts a and b.  x=−3+3t​, y=4−9t​;t=2

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Q: Consider the curve described parametrically by X = 3cos(t) , y = 3sin(t) , 0<t< 57/4 tch the curve,…

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Q: In each of the following cases: parametrize the curves; and determine whether the curves are…

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Q: The curve C is parametrized by x = 2+2sint and y = 2cost, for 0 ≤ t ≤ π. Sketch C, noting the points…

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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: A curve is defined by the parametric equations T = sin t, y = 1 – cos t, 0<t< 27.

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Q: parameter t, sketch the parametric curve for the given paramet s orientation. x= Vi, y=t-4Vi

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Q: Find the length of the curve for the following parametric equations for 6 < t < 11. Find its exact…

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Q: Consider the plane curve given by the parametric equations x = t² + 22t - 23 y = t² + 22t - 5 What…

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