Find the area A of the region that is bounded between the curve f(x)=ex−1−6 and the line g(x)=−2x−3 over the interval [−5,2].

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Q: 6. Solve the equations and plot the solutions. Determine the principal root. (b) 2³=-1+i (c)…

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Q: 2x-y-z + 3k = -2 x - 2y - k = 6 -2x +2y+z = -3 3y - 2 - 2k =-7

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Q: b) Use the L.T. method to solve Sot e-3t cosh(t)

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Q: For what values of a and b is the following function continuous at every x? -2 xs-1 f(x)= ax-b-1<x<3…

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Q: y

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Q: . Prove that 3+3.5+3.5²++3.5"= whenever n is a nonnegative integer.

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Q: Susan has a goal to complete a triathlon. The race consists of a 0.93-mile swim, a 24.8-mile bike…

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Q: 4. Find the formula for the graph shown: 1 (-7,3) f(0)

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Q: - Let z = = [11, 12, 13]T 5x1 +4x2+3x3 = 9 211+12-4x3 = 8

A: Given: Let we have to solve the given system

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Q: 4) Solve: a²u at² dx4 = 0 00 u(0,t)= u(L,t)=0 t>0 Uxx(0,1)=Uxx (L, t) = 0 u(x,0)=x sin 0<x<L u₂(x,0)…

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Q: QUESTION 1: LAPLACE TRANSFORMS FOR ODE'S 1.1 Using Laplace transforms, solve this set of linear…

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Q: Determine the Lie point symmetries of the following functions: 1. F = x - y'

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Q: 7. Let E be the Euclidean space M22 (R) equipped with the inner product (A,B) = a₁,1b1,1 + a1,2b1,2…

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Q: Show directly from definition that if limx→2- f(x) = 1 and limx→2- g(x) = 4, then lim-2-f(x) · g(x)…

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