Find the function g such that fog = In (2x° +7) if f(x) = In x g(x) = %3D

Q: Let c>0 be a constant.  Is this result true or false?

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Q: Find all values of x such that dy/ldx = 0 where y is the function stated below. x2 y = -3x + 4)

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Q: Find constants c1 and c2 such that F(x) = c1x sin x + c2 cos x is an antiderivative of f (x) = x cos…

A: To find constant c1 and c2 such that Fx=c1 xsinx+c2cosx is an antiderivative of fx=x cosx. Solution:…

Q: Consider f (x, y) = log(r² + y²) f.(x, y) = %3D and fy(1,0) = %3D

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Q: Find an antiderivative F(x) with F ′(x) = f(x) and F(0) = 0. Is there only one possible solution?.…

A: Given, F'x =fx  fx = 2+4x+5x2   We have to find Fx

Q: If F(x)=sinx+6x2−4 is an antiderivative of f(x) then f(x)=

A: If F(x) is antiderivative of f(x) , then f(x) is derivative of F(x) .

Q: The critical point of the function* f(x, y) = x² + 5y² + 2 cos x

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Q: Q.2 Evaluate I = f* x*(1 - √x) dx using Beta-Gamma functions.

A: Given: Integral I = ∫01x4(1-x)5dx We have to evaluate the given integral using Beta Gamma function.

Q: Find all antiderivatives of function:  f (x) = e3x

A: Given- fx=e3x To Find- The antiderivative of the above expression.

Q: Show that E [x(t)] = 0. %3D

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Q: Find the linear approximation of f(x) = e(a) at a = 1.

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Q: Find the linearization of the function f (x) = x at x = 1. L (x) = 固団 Using this linearlization, f…

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Q: find the absolute extrema of thefunction on the closed interval y=x \ln (x+3),[0,3]

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Find the linearization of the function f (x) = x' at x = 1. a ab Va |a| sin (a) 7 х-6 L (x) Using…

A: Given a function,

Q: 2. Find frxz for f(x, y,z)= z² e³xy

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Q: \+etari), find f.. S, and f.- xyz 3. If f(x,y,z)= hn 2

A: We have to find fx , fy , fz.

Q: Find the linear approximation L(x) to y = f(x) near x = a for the function.  F(x) = (1 / x) , a = 2

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Q: Find all antiderivatives of function:  f (x) = e-3x

A: Consider the given function. fx=e-3x We have to find  I=∫e-3x dx   Substitute -3x=u -3dx=dudx=-du3

Q: et f(x) = x3- 3x2-1,  x ≥ 2. Find the value of df-1/dx at the point x = -1.

A: Let f(x) = x3- 3x2-1,  x ≥ 2. Find the value of df-1/dx at the point x = -1.

Q: find the antiderivative of the function t(x)=5/x^2

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Q: Find the antiderivative of f(x). f(x) = 3e6x+ sec2(x) +x3

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Q: Solve the Ro liowing B E 2 X + 2 -zey= zX

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Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

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Q: Find the linear approximation of f(x) = (5 + x)n at x = 0. Use the approximation to estimate the…

A: fx=5+xn at x=0. Differentiating with respect to x, we get f'x=n5+xn-1 Now, f0=5+0n=5n &…

Q: xsin 1x Vx+1 2tan-x Vx+1 2tan-1x QI) Find of y=: e2x+1

A: We will find dy/dx as following .

Q: 11) Find the antiderivative: f -3+6√x³ √√x dx

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Q: Find the linearization of the function f(x): L(z)= ab a --4x-5 va a न 4x+3 at z=-1 sin (a) E

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Q: Show  that the function Z =1/2(eysinx - e-ySin(x) satisfies the La Place’s equation  =0

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Q: Find the linearization of the function f (x) = x° at x =1. L (x) Using this linearlization, f…

A: To find the linearization of the following function

Q: lim, f(x)= 0, then | f(x)dx diverges

A: Statement:  limx→∞ f(x)≠0,  then ∫1∞ f(x) dx   diverges.

Q: Find the linearization L(X) of the function at a. f(x) = Vx, a = 16 L(x) =

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Q: Find the linear approximation to the function. x2 f(x + Δx) ≈      Evaluate it at the given…

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Q: Q1: Find the Integration using Gamma Function Method: x*e-3xdx 0.

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Q: - Use Euler's method to estimate y(3) given y(0) = 1, and y' = x -. Use steps of h = 1

A: use euler method for finding the y(3)

Q: find ∇f at the given point. ƒ(x, y, z) = x2 + y2 - 2z2 + z ln x, (1, 1, 1)

A: Given function is fx,y,z=x2+y2-2z2+zlnx and point=1,1,1

Q: #@3 g (x1y) =- 7x3 -49xy + 7y3 Find and elassify all the extrema of the fine tion

A: Given- gx,y=7x3-49xy+7y3 To Find- All the extrema of the above function. Concept Used- Using the…

Q: approximation of I = [" f(x)dx using composite Simpson's rule with n=4 is:

A: In this question, we evaluate the definite integral by using the composite Simpson's rule for n=4.

Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-8)dx…

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Q: Find the most general antiderivative of f(x) = -10x – (1 – x²)-1/2, where -1< x < 1.

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Q: #@3 g (x; y) = 7x3 - 49IXY + 7y3 Find and elassify all the extreema of the fine tion

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Q: Find an antiderivative of the function f(x)=e2x.

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Q: (b). Examine the behavior of e*+iy as x → -.

A: Euler's formula states that for any real number x  Any complex number z = x + iy,  can be written…

Q: Find constants c1 and c2 such that F(x) = c1xe -x + c2e -x is an antiderivative of f(x) = 3xe -x .

A: Given: Fx=C1xe-x+C2e-x  and fx=3xe-x

Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: Find the G.S. about xo = 0 for: (x² + 4)y" + xy = x + 2

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Q: Find L(x) (Linearization function), given f(x) = ev2x at the value a = 2.

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Q: [a, b]. If F(x) is an antiderivative of f(x), for real numbers ¤) + k]dx is equal to

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Q: Find the linearization L(x) of the function at a. f(x) = e5x, a = 0 %3D L(x) 1 + 5x

A: f(x)=e5x point a=0