3. A particle moving along the x-axis has velocity function v(t) = t²e-t. How far does the particle travel from time t = 0 to t = 5? [Inn

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A: Ths question can be solved using the formulas of Laplace transform.

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A: Given problem:-

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A: Topic:- function

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A: We have to find the values of partial derivatives.

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

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Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

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Q: 6. Evaluate the expression sin cos (77)) 11 tan sin (sin-¹ (²-3)) 13,

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A: We have to find the equation of tangent.

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Q: 6) (-2√2,2√2) 3 3√3 8) 2 10) (-2,-2√3)

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Q: 6 cos3x cos4x dx

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Q: 10. Find the limit using any technique. The limit of f(x) = 2x² - 3 as x approaches -3. 15 21 limit…

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Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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A: Given :   y=x2 y=16

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A: Solution of given question is written in below steps.

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Q: UZ. A curve C is defined by the parametric equations x=²-31, y=3²-9, -2<1<2. a) Find the points…

A: According to our answering guidelines we can answer 3 subparts at a time, rest you can repost later,…

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