It is possible to rewrite the expression 4. 2 In(x) – In(ax) as In(kx) where k is a constant. Perform this rewrite in order to identify the value of k in your case.

Q: 2x In -x = 0 =72xIn (x)Texco ーフ-2x1n Cx)メ=0 -> explain in detaill

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Q: 2x 3 dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) In (1²) If F(x) =

A: SOLUTION-

Q: Let α(x) = ex2 . Verify the identity (α(x)y)' = α(x)(y' + 2xy) and explain how it is used to find…

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Q: Let a > 12 be a constant. Evaluate 4x2 + 32x + 40 + 2a dx (4x + a)(x² + 6x + 10)

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Q: A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether…

A: See this solution in below

Q: Find the general antiderivative for x^7- 6x + 8.

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Q: Find a solution of by iteration for f (x) = x³ + x – 1 = 0

A: Given function is f(x)=x3+x-1=0 So we can write x3+x-1=0⇒x(x2+1)=1⇒x=1x2+1 Let ϕ(x)=1x2+1 Since…

Q: Given f(x) = In(- 4e" – 13), f'(x) = %3D

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Q: Find the value of the expression at x = 5. Зх — 1 X + 2

A: To compute  3x-1x+2 when x=5

Q: 10. If f (x) = 2x(1+In(2x)), and f'(c) = 6, find c.

A: Given function is fx=2x1+ln2x. Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: Compute the following. d [7x11+3x7-23x +14x12/7+5x-3+43] dx

A: we know that d(xn)dx=nxn-1

Q: Generate the approximation formula 1 f'(x) × - [4f(x+ h) – 3f(x) – f(x+2h)] 2h with the error term.

A: The objective is to generate the approximation formula,

Q: 11피 for-x Sr 27

A: Solved one question according to guidelines. Posted another question seperately

Q: Find a general formula for f (n)(x). f (x) =x-2

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Q: Veridy that the approximate root of xa2 is: 1+Xn- Xn 2

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Q: How did you get the 100/12 value? Can you show the full work for that

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Q: It is possible to rearrange the expression 1 ax + b + x - 1 into the form Rx² + Sx + T x - 1 where…

A: SOLUTION IS GIVEN BELOW

Q: Let fx) = 2897x +5105x+ 5607 estimate the number of deaths from a certain disease from 1984, where x…

A: The function f(x)=2897x2+5105x+5607 estimate the number of deaths from a certain disease. We have to…

Q: find a general formula for f (n)(x). f (x) = x2e x

A: The first derivative of a function when equated to 0 gives us the critical points of the function…

Q: expression fory 2 cx+

A: Given           y=Ax3+Bx2+Cx+D then                    y'''=

Q: Find a general formula for f("(x) if f(x) = 11x²e*. pln)(x) %D

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Q: How would you remove the dis . z46 f(r) =

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Q: Determine the error term of for the formula: f'(x)  ≈ (1/4h) [f(x+3h) - f(x-h)]

A: In order to find the error term of the given expression, first find the value of f(x+3h) and f(x-h).

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

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Q: If f (x) = /In(x²) + x², what is the value of f'(1)? %3D

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Q: Which of the following is an antiderivative of f(x) = 12x³ - 9x2 + 8x – 3?

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Q: Solve for x in √x + x^√x =18

A: Given, x+xx=18 we have to solve it for the value of x.

Q: let t be the number of years since 2000. What does t=9 mean in this situation ?

A: t= The number of years since 2000. We need to count the no. years from the year 2000 which will give…

Q: Suppose that E(X)=3 and E(X")=11. Then Var(3X+1)=

A: From the provided information, E (X) = 3 and E (X2) = 11

Q: . What is F(/3) if C = 0?

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Q: Proceed as in Exercise 51 to calculate F'(0), where 3x + 5x* + 5x +1 F(x) = (1+x +x*/3 +x/³) : 8x9 –…

A: Given function is Fx=1+x+x43+x533x5+5x4+5x+18x9-7x4+1. First multiply the numerator.…

Q: 4. Find a formula for the inverse of f(x) = V2 – 8x.

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Q: Write a formula for ( ogoh) where r-2 f(x) = 3x - 4, g(x) h(x) = Vx - 2 x+1

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Q: Suppose that f(x) 16e" – exº. Find f'(3). f'(3) =

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Q: Expand in powers of x  f(x)={32/x^4)*e^(-2x^5)

A: Given, fx = 32x4e-2x5  We have to expand it in power of x.

Q: 23. If f(x)= 3x2+2x+1, find f'(2) O 6x+2 O 14+3x O 14 O 2x+1

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Q: It is possible to rearrange the expression ax² + bx + 1 x +1 into the form T Rx + S + х+1 where R, S…

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Q: Evaluate the definite integral (6x2 – 4x + 7) dæ - 3.

A: Evaluate : ∫366x2-4x+7dx

Q: وسلام ax x2 ل ے- ل

A: Given :∫-4-2dx-x2-6x-5

Q: Find the criticalX-values to test the claim of = 4.3 if n = 12 and a= 0.05.

A: Givenclaim σ2=4.3n=12=0.05

Q: Express the equation in exponential form. (a) In(3) = 5y (b) In(t + 7) = -1

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Q: Let a > 8 be a constant. Evaluate 4x2 + 28x + 20 + 3a dx (4x + a)(x² + 4.x + 5) -2

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Q: can you prove E(x^2) = Var(x)+[E(x)]^2 ?

A: Variance:The expected squared difference between a random variable and the mean can be termed as…

Q: Express f(x) =|x| 1 Σ %3D 4 96 '(2n–1)* n=1

A: In mathematics, a Fourier is a periodic function composed of harmonically related sinusoids,…

Q: Select all expressions with a value larger than 1. f + +0 2-1 3x를 9 x

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Q: find x in f(x) = 45 − 0.42x + 0.006x^2

A: The given equation is,

Q: Evaluate the followingintegrals.∫x(x+10)9dx

A: Our Aim is to evaluate the integral given below:-∫x(x+10)9 dx -(i)