Find the orthogonal projection of f onto g. Use the inner product in Ca, b] (f, 9) = ["«x»9(x) dx. C[0, 1], (x) = x, g(x) = e* projf

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A: The derivative of a function in complex analysis is defined similarly to that in real analysis.For a…

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A: The functions are: fx = exgx = xe-x-e-x To evaluate: The inner product of fx and gx on the interval…

Q: dx - x³)². (1 – -

A: Solution: Let Then, singularities  of  f  are  given by…

Q: 1) Let f(z,y)- . Compute DS(z,y) where u- (4-9)

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Q: z = f(st - 3, s2 +t) and fi(-1,9) = 3, f2(-1,9) = 7, fu(-1,9) = f12(-1,9) = f21(-1,9) = f2(-1,9) =…

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Q: Let g(x) = ax* + bx' + cx + dx + 1 be a polynomium whose graph intersects the points (-2, 4), ( – 1,…

A: We will find out the required solution.

Q: G(x,y)= (x+3y) / (x^2 - y^2 ) Sketch the domain

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Q: Prove that if A is invertible, then 1 det (4) det (4-¹) = -

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A: Let f(z) = z5, show that f is invertible in a neighbourhood of i and calculate(f-1)' f(i)

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Q: Let f(z) := z5 . Show that f is invertible in a neighbourhood of i and calculate (f-1)'(f(i)).

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Q: Let z = f(st – 3, s? +t) and fi(-1,9) = 3, f2(-1,9) = 7, fu(-1,9) = f12(-1,9) = f21(-1,9) = f2(-1,9)…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

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Q: Consider the following bijections on R: f (x) = - g(x) = x – 7 Then (f o g)¯'(x) =

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Q: Show that fi (x) = cos x , f2(x) = cos 2x are orthogonal on [-7,71]. %3D

A: This is a application of integration problem

Q: Assume that f: R→ R and g: R → R are infinitely differentiable functions. Prove the following…

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