Encuentre TLt), NCt) B (t) de cLE) = ( cost , sent, t)

Q: Motion along a curve:  b) r(t) = <cos(t), sin(t), t2 >. Find v(t), a(t), aT, aN

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Q: Let r(t) = (sin t, 2 cos t), t = (a) Find r'(t). (b) Find T(t).

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Q: An object moves along the x-axis with velocity given by v(t) cos(t) m/s || Suppose that the object's…

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Q: tan(v) In(cos(v))dv.

A: Assume lncosv = t Differentiate both sides

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Q: dt cos?(t) V5 + tan(t)

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Q: Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) =…

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Q: 1+ csc x cos x + cotx

A: Given query is to simplify the expression.

Q: Find r'(t). cos 4 cos³(t)i + 2 sin³ (t)j + k r(t) = 4

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Q: Find F(s). F(s) = L(1 et + 3e-4t) cos(2t)} -

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Q: Find f. f(t) =|| f"(t) - 3et+ 5 sin t, f(0) = 0, f(T) = 0

A: To find f.f''t=3et+5 sin t, f0=0, fπ=0

Q: Consider the curve defined by r(t) = (cos(t) + t sin(t))+ (sin(t)- t cos(t))] for t > 0. (a) Compute…

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Q: -1

A: Given,

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

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Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation