2. If f(x) = and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the function (fog)(x) and its domain. 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

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Q: Find f(g(x)) and g(f(x)) for the following functions: f(x) = 8x + 5 g(x) = x² + 9x + 4 f(g(x)) =…

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A: We are required to solve the differential equationu'(t)+u(t)=sin2t.u'(t)+1 given uπ4=5

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A: Topic - Linear system We are given [x,y,z] = [0,-2,-12] +s[1,-1,2][x,y,z]=[38,0,-46]+t[3,1,-5]

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Q: Solve the following system of nonlinear equations using either substitution or elimination. Write…

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Q: (a) (b) (c) xex [ae-1 da dx. [ (3 - 2x(1 - 3x)) dx. / (√2-√₂) dr.

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Q: 23. 25. 2 3 (ਜ) J 4 2x + 1 [³2x - 1 (

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Q: 3. A horizontal line through the point (4, 6) is defined by which equation? Ο Α r = 4 OB. x 6 Ocy 4…

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Q: Consider the function m(x) and its graph. 2x + 36 √x-5 m(x) = How many solutions does m(x) = 0 have?…

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Q: 2x³6 Solve differential equation. You may leave your answer in implicit form. dy dy + +y =…

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Q: Find a value c in [1, 4] such that f(c) is equal to the average value of f(x) = e2x + 1 on [1, 4].…

A: f(x)=x2x+1  on 1,4formula for average value  is favg=1b-a∫abf(x)dx∫exdx=ex

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Q: Find all values of x such that f(x) = 0. f(x) = 2x − 3 9 X=

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