Find the length of the curve. r(t) = cosíti + sinét j – 4´t k, 0≤t≤2

Q: licıt difterentiation to find an Usx imp equation of the tangent line to the curve 5xy° +xy=48 at…

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Q: (7) Find the lengths of the curve r =2/(1 - cos 0), a/2<0<n.

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Q: d [arcsin 3x] dr 3 1+9z² 3 1–9z² 1 1+3z2 /1-3г?

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Q: The points of intersection of the curves r = sin(0) and r =1– sin(0) are Select one: 1 6. O all of…

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Q: Find th epwation of the tangent line to An- (x-2y): 2xy-1 at print (1, 2) d [sin- (x-2g)] = (2xy-1)…

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Q: Find the intrinsic equations of the curve x = (alcos (je, + a(sin fje,+ bes). aff Ans. 4120² +65ji/2…

A: Introduction: Intrinsic equations refer to a method of representing a curve or surface in terms of…

Q: curve ï = 3t — 5, y = 4t +6 with 5 ≤ t ≤ 6.

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Q: a city in Africa, an epidemic spreads during 50 weeks according to the model of a sinusoidal…

A: An epidemic spreads during 50 weeks according to the sinusoidal function given in the question. To…

Q: Find the length of the curve y = In sin x from t = -2 to t = 0.

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Q: (a) Find the equation of the tangent line to the curvey = 2 sec x – 4 cos x at the point (, 2) %3D

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

Q: Consider the curve parameterized by the following: x=54-3t², y=-6t³ +48t - 4. This curve traces out…

A: Given that the parametric equation of curve is                     x = 54 - 3 t2   ,   y = -6 t3 +…

Q: The curves F₁(t) = (-5t, tº, -4t²) and F₂(t) = (sin(-3t), sin(-t), t — π) intersect at the origin.…

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Q: Find the length of the curve x = et cos(t), yet sin(t), 0≤t≤ ñ. ㅠ. Length =

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Q: 2+cost Use IVT to show that g(t) = [0.7]. takes on the value 2.5 in the interval 1+ sin t

A: By using IVT we have to show that g(t) takes on the value 2.5 in the given interval.

Q: A particle in rectilinear motion has a velocity of v(t) time (s) when the particle is m from its…

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Q: Find the length of the curve r(t) = (2 cos(5t), 2 sin(5t), 5t) for −3 <t<4 your answer to two…

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Q: Define Testing for cointegration when θ is unknown ?

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Q: Find the length of the curve. y = 2 – 4x, 1<a< 3 O 54 3V17 O 17 O 2y17

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Q: Find T, N and B for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t) at the point t = 0 Give your answers…

A: We need to find tangent, normal, binormal vectors.

Q: Find the solution to the differential equation that satisfies the given condition. I am having…

A: Given differential equation can be written as Integrating both sides , we get

Q: -dx using 4 trapezoids. What is the error bound for the approximation this problem

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Q: Question Find the length of the curve F(t) = (5 cos(5t), 5 sin(5t), 3t) for 0 < t < 2 Give your…

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Q: A particle moves along the same path as in question (4) where the path is d scribed by the…

A: To find the acceleration components normal and tangential to the path at t=2 seconds and the radius…

Q: Calculate Sc√√1+4x² y+x² 2 < x < 5. ds where C is the arc of the curve e y = 2 - x² from

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Q: Find the length of the curve. x = cos t y = sint 0 <t< 2n

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Q: Q1: Find the length of the cardioid r= 1 + cos 0 0 < 0 <T

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1 1-Зу?, /1 – 3y, x = 0.05 < у < 0.2 L = %3D

A: As per the guidelines in case of multiple questions I am.supposed to do the first problem. Kindly…