f(t) = { 2, 0≤t <1 t, t > 1 la transformada de Laplace es:

Q: se-2s c) F(s) (3s+4)(s-1)

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Q: Express dm/dt as a function of t and evaluate dm/dt at given point where m = z- sinxy, x=t, y=lnt,…

A: Given m=z−sinxy, x=t, y=lnt and z=et−1 We have to find the dmdt Use chain rule…

Q: n the der natwe of Sin (x )= Sin Cx-cos (rE)) to CoS

A: Definition: Differentiation is the action of computing a derivative. The derivative of a function y…

Q: -2x Let f (x) = S"[tsec?(nt²) + sin(nt)] dt. Find the equation of the tangent line to f(x) at x =…

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Q: Let f(x) = r e-t dt – 1/2. Find root to f(r) by using bisection method. You should find the interval…

A: As the given integral is improper and have no closed form solution; we will use numerical…

Q: Find the Lyplace tiangern f (t) = sin Ct+a) of cor (t-a) usng S e-e f (t) dt f Ct) dt .

A: The given problem is to find the Laplace transform of the given function using integral method.

Q: r(t) = (sint)i + (1+ cost)j + (4t²)k ind S r(t)dt :

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Q: Find derivative of this integral, here Br is a brownian motion

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Q: f(x) = x2 cosh 3x -

A: Simply, I have used laplace transform formula.

Q: Find the linear approximation L (x) to ƒ (x) = xcosx at a = T.

A: Given that, f(x) = x cosx and we have to find linear approximation L(x) at a = π

Q: Determine the directional derivative of the function f(x, y) = (5x³ 7y±+15xy)/T in the direction…

A: A scalar function is a rule that is used to associate a number, or quantity with a particular point…

Q: Time left 0:34:46 Let F= [x, 0] be a force field and C be a curve with the parametrization r(t)= [t,…

A: Solution: Here The vector field is Fx,y=xi⇀+0yj→ C is the curve with parametrization rt=ti→+j→ and…

Q: find the Laplace invers L 2 s(s+2)

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Q: Find the linear approximation to f(x, y, z) = at the point (2, –1, –2): f(r, y, z) z

A: A Givenfx,y,z=xyz at the point 2,-1,-2linear approximation at the point…

Q: rsech a If F(x) = cosh t dt, find F'(0). 2x

A: The given function is: Fx=∫2xsechxcosht dt  To find F'0.

Q: Consider f(x, y) = ln(ry). Find the equation of the tangent plane to the graph of this function at…

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Q: 6. f(t) = e-5t(5 + t³) %3D

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Q: nd integrate an exponential function. initial valued problem (IVP), find the solution

A: Given:- b) y'''=1+3x2-4x3+9x   ⇒d3ydx3=3x2-4x3+9x Integrating, d2ydx2=x-3x+2x2+6x32+c at…

Q: Use the definition to transform f(t) = 3t + 1 into Laplace. (Do not use Laplace table).

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Q: (Continuation of Exercise 31.) If ƒ is continuously differentiable on [0, a] for a > 0, and f(a) =…

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Q: Let r(t) = . Find r′(t), and then find all values of t for which r(t) is smooth.

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Q: at is the maximum rate of change of f (x, y,z) at P?

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Q: use laplace truns form to Solve Y't Y = f(t), y (0) = 0, where

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Q: Find T(0)

A: Introduction: The tangent vector of a vector valued function rt is represented as r't. The necessary…