Gini index 2x-f(x) dx where f(x) is the Lorenz function 0

Q: Using numerical methods find the value of -1.25 x² dx with h=0.25. 1+x3

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A: See the details solution in below

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A: Given  integral,∫x9+x2dx ∫x9+x2dxSubstituting,x2=t⇒dtdx=ddx(x2)⇒dtdx=2x⇒dt2=xdxSubstituting,above…

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A: fx=lnx  and  gx=x The graph is,

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Q: In the integration of x dx/(9 + x^2), what is the appropriate integration formula? Integration of…

A: Given ∫x dx9+x2

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A: Let f(x)=-5x+4sin(x)-0.7 ddx(-5x+4sin(x)-0.7)=-5+4cos(x) ∴f′(x)=-5+4cos(x)  x0=01st iteration…

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Q: Reduction formulas Use integration by parts to derive the following reduction formulas.

A: ILATE rule is used in integration by parts thus the variables of the integration are changed to…

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A: Given To find  ddxfxgxx=4

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A: We will use Forward Differentiation formula f'(x) = {f(x+h) - f(x)}/h  to find the value of f'(1.5)…

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Q: 68. Approximating Pi (a) Show that 4 dx = n. 1+ x2

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Q: Reduction formulas Use integration by parts to derive the following reduction formulas.

A: We have to use integration by parts to derive the reduction formula:…

Q: Using numerical methods find the value of S r1.25 x² dx with h= 0.25. 1+x3

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Q: 1. S 4esin2x cos2x dx

A: 1.∫4esin2xcos2x dx2.∫2x3ex4 dx

Q: Seatwork: Find f' (x); |1.) f(x) =34x 2.) f(x) = log3(6x²-5) 3.) f(x) =e*In x |4.) f(x) = ln( tan²x)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: [MO32] Given the function below, 0 0sxsn f(x) = {cos x n< x< 2n find its Fourier a. Cosine Series b.…

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Q: Problem 2. Determine whether eacl (i) e-² dx

A: since u have asked multiple questions in a single request so we will be answering only first…

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Q: True or False:  Ln (1/z) = -Ln z for all nonzero z. If false, justify by explanation or…

A: consider z =x+iy the general representation of the complex number take its reciprocal and perform…