In Exercises 27–34, calculate the composite functions f og and g o f, and determine their domains. 27. f(x) = /x, g(x)=x +1 28. f(x)= g(x) = x-4 29. f(x) — 2*, 8(x) — х2 %3D 30. f(x)= |x|, g(0)=sin0 31. f(0) = cos 0, g(x)=x³ +x² 32. f(x)= 8(x) = x-2 x2 +1' 33. f(t) = 8(1) = -12 34. f(t) = Vi, g(t)= 1 –13

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Q: Exercise 3: Suppose that in an electric display sign there are three light bulbs in the first row…

A: As student want answer of only part 3,  So, I am providing the answer for that part only.

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Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d

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Q: 7  please answer, type the solution if you can please. or write clearly

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Q: (a) Show whether if 0<x <1, f(x) = 2 - x if 1<x < 2 is a Dirichlet function.

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Q: [1] Show that the functions In x, In(x) are linearly dependent on (0, co)..

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Q: 22. 13: Fundamental Theorem of Calculus y(x) : V1- t2 dt Find g'(x). Answer:-

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A: the given function is βx,y=∫01tx-11-ty-1dt for x&gt;0,y&gt;0 substitute t=1-s therefore, dt=-ds when…

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Q: In exercises 1–24, differentiate each function. D f(x) = x*e* (2. f(x)= e2* cos 4.x %3D 3. f(t)…

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Q: 7. The function (x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree

A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5…

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Q: 1 Let f (x,y)=In . Then f „(1, – 1) =...... 3x²+4y3 XX

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Q: 28. Find the critical points of f(x) = x3 - 3x2 - 3. а. (0, —3)and (2, —7) b. (0,3)and(2,7) c. (0,2…

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