Integral of Vector A= 2p sin(@)ap +0.5z2cos(9)az along L1 4Y L2 L1 180° L3 30° -5 0. 12.5 20 -12.5

Q: In words, describe the curve r(t) = (2 sint,e',2 cost) for 0<= t <=6 . Be sure to a -- give enough…

A: To Explain: The parametric curve is r(t)=(2sint,et,2cost) for 0≤t≤6π , so that its graph can be…

Q: flxy)=e* fleyl-e siny = é^ Find the directional derivofive in the direction of the vector that +60°…

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Q: Question 6 Find the direction in which the maximum rate of change occurs for the function f(x, y) =…

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Q: let angle thetha be measured from x1 axis counterclockwise to a line drawn normal to the boundary…

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Q: Ans. (5) Given position vector r(t) = (t₁ t - sint, 1- cast) ⇒ r (t) = ti + (t-sint) 3 + (1 - cost)…

A: Ans. (5) Given position vector

Q: A =-4i +3j +k B =-3i +2j – 5k AB AC C =-6i – 2j +k Y 中 are Vertices of this triangle? B BC C nluoto…

A: Note: since you posted multiple question. As per our guidelines we are supposed to solve one for…

Q: | Let r(t) = 5i + t²j – t²k. Compute the unit tangent vector T(t) at time Question 7. t = 1. 5 (a)…

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Q: 42. Two boats B, and B2 are moving with velocities (4i – 3j + 7k) ms' and (2i + 3j + 4k) ms…

A: Velocities (4i-3j+7k) and (2i+3j+4k)

Q: 2.) у" - Зу' — 2у %3D0 У (0) %3D0, у'(0) %3D 9 ,у" %3D0

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Q: QI\ Find Fourier transform for: A) f(t) = U(t)sin² (3t) C) f(t) = elct sinh(bt)

A: (A)Given the function f(t)=u(t)sin2⁡(3t).Rewriting, .We know that, .The Fourier transform of f(t) is…

Q: WHICH ANSWER IS CORRECT? Given the curve C parametrized by the vector equation r⃗…

A: Given :- The curve C parametrized by the vector equation r t = 3 sin t i^ +2 - sin t +cos t  j^…

Q: Find an expression for a unit vector normal, no, to the surface x = (4 – cos (v)) cos (u), y = (4 –…

A: The complete solutions are given below

Q: dy/ dx-y/x= -y ^2 /x Is it linear ? does lt become linear with a substitution v = y^ 2? does lt…

A: given equation is  dydx-yx=-y2x

Q: Find the vectors T, N, and B at the given point. T = N = = B = r(t) = (4 cos(t), 4 sin(t), 4…

A: Answer

Q: The unit tangent I already found which was correct was (32 , 24t , 9t^2 )*1/41 I need the…

A: To find unit normal vector

Q: Consider the function f(x.y) = x(/y +x) and the point P (3,9). (a) Find the gradident vector of f at…

A: The function f(x,y)=xy+x and the point P=3,9. We have to answer the following...

Q: r'(to) TIr(to)|| A vector-valued function and its graph are given. The graph also shows the unit…

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Q: Calculate the moments of inertia (Ix and Iy) of the shaded area given in the figure with respect to…

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Q: Let x' = [4, 2, 1] and y' = [-1, 3, 0]. (a) Find 2x+y. (b) Find x'y. (c) Find the length of x, Lx.…

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Q: Find the Derivative of a Vector-Value Function Given the vector-valued functions u(t)= et + e-5tj -…

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Q: At time t=0 a particle at the origin of an x⁢y⁢z-coordinate system has a velocity vector of…

A: Using the basic general velocity formula, we get the velocity vector of the particle at time t to be…

Q: A particle travels along the curve r(t) = (cos t, sin t, In(cos t)). a) Find the distance the…

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Q: 7. Find the equation for the 'unit tangent vector to the vector-valued function r=. く- I6 Sin(2t),…

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Q: Consider the differential equation y' = 2y x a) Sketch the slope-field for x in [-2, 2] and y in [0,…

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Q: Question described by the vector function r(t) = (4t² ln t, ¹-4, -2e-³t). 2 a) b) Find parametric…

A: The given vector function is rt=4t2lnt, t-42, -2e-3t. a) Find the integral ∫rtdt. b) Find the…

Q: A point moving a long a curve whose position vector is R(t)=(t sin t +cost)i+(sin t-t cost)j+4 k;…

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Q: Consider the differential equation y' = 2y X a) Sketch the slope-field for x in [−2, 2] and y in [0,…

A: Given: Differential equation y'=2yx. To do : a) Sketch the slope-field for x in [-2, 2 ] and y in…