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

Q: Find f. f(t) = f"(t) = 7et + 3 sin t, Need Help? Read It f(0) = 0, f(π) = 0

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

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Q: L{t sin t cos t} = 2s (A) (s²+4)2 -2s (B) (s²+4)² (C) 14) (s²+4)² -8 (s²+4)2 (E) (s²+4)²

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Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (-2 cos t,…

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Q: Find fy ) for (x,y) Cos (x) sincy) exy

A: Given query is to find the partial derivative of the expression with respect to y.

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: r' (t) × r´ (t) to ||r' (1) × r´ (1)|| Use the formula B (1) = T (1) × N (t) to find B (t) , and…

A: Given that rt=sint-tcosti+cost+tsintj+48k. To find Binormal vector B(t).

Q: Let f (t) = te* +e sin 10t. Find L{f (t)}.

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

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Q: nd r'(t), r"(t), and r'(t) · r"(t). r(t) = 4 cos(t)i + 3 sin(t)j a) r'(t) b) r"(t)

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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: c) Let f(x, y,z) = cos (xyz)sin(x²y=

A: The given function is f(x,y,z)=cos2(xyz)sin(x2y2z2) ..............(1) we have to find;  fx=∂f∂x=?and…

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: The functions cos r and cos- are linearly dependent (0, ) on

A: evident from the two curves that after zero in a positive direction the two graphs coincide with…

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

A: topic- differential equation