i) XEIR, {>0, ln² | ( X-E₁ X + {)) : = {y>0] X= { < ln (g E X estreng manation 05 -६ X le.e E e tye e².é, é e е . е e X ee е d.h (2) усё In^ ((X-E₁ X + E)) -EX ६ X ee, ee 11 1151

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Q: 1 4 √x 5 18 dx =

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Q: Find [H*] in an acetic acid solution that has a pH of 3.608. (answer to four decimal nares)

A: Given that: pH=3.608

Q: Find the increasing and decreasing of function  f(u)=ue^(u^n )+ln√(u^n+n) where n=516

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Q: dy 1 dx xy+y y = F√4ln(x + 1) + 1 Option 1 F/In(x + 1) +1 Option 3 = y(0) = 1 y = √2ln(x + 1) +1 O…

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Q: Solve the equation R'(t) = 200e^0.5t for 0 ≤ t ≤ 10.

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Q: A function (f) is given by the formula f(x) = A*e^kx for constants (A) and (k). We also know that…

A: Function is of the form f(x)=Aekx and f(3)=12 and f(4)=7.

Q: Ex+ 8x3-72x?+4 三X'

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Q: Find The Valle f X 十 キ

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Q: solve D'+)y = carec x by seduetion of Oxdex

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Q: Let f(x)=2x^2−4x+14.Findwhere f(x)>0.

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Q: 2xージ f (x) : 33 Vx2 T sin 2x + Ve2x + 2x –- In e, x # 1 1-x (1–3t)5(t³-8) g(t). t # 2 2-t

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Q: -1 Find L s2–18s+40 s(s²–6s+10) |

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Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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Q: For each of the following y, find the d^2y/dx^2

A: We know, d/dx (xn)= nxn-1, for any real number n. d/dx(u(x)v(x))= v(x)*d/dx(u(x))+u(x)*d/dx(v(x))

Q: etx +1 Differentiate the function f(x) = In e* +1 O e*+1 4ex +1 4e4x ex etx +1 e* +1 4e4x ex etx +1…

A: Please see the explanation below

Q: Show that Var (Y) = Var(ε₁) = 0².

A: Let us consider a simple linear regression. The equation of a simple linear regression model is:…

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Q: Show that di = s> 0.

A: Laplace transform

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A: We want to define A x B

Q: Determine the particular solution of the ODE y” + lnx = -1 a. (-0.5 * lnx) + 0.25x b. (0.5x^2 * lnx)…

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Q: 1 Evaluate 1 e ,2

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Q: Explain what it means if a' . b = 0

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Q: Cosh sec (3* Find (y')(3**) -X+1 y = log, 3

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Q: Let f(x)=x^3−x.Find where f(x)<0.

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