It is possible to rewrite the expression 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: 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: If f (x) = Vsin¬1 (2x²) , then f' (x) = (sin¯"(2z²))*-/1–4z“ True False

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Q: Find the value of the integral x²dx (x² + 9)(x² + 4)² 0-

A: The integral can be solved by first simplifying the integrand by partial fraction decomposition.…

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = -6x²-3x - 2 on the…

A: Solution-

Q: Find дхду of z = In(x² – y)

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 2. Let h(x) = |9 – x²].

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Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1 A True False

A: We have to state whether the given statement is true or false and its reason is given.

Q: Use mathematical induction to prove that the derivative of f (x) = x^n equals nx^(n-1) whenever n is…

A: Given: P(n) be the statement derivative of f(x)=xn is equal to nxn-1, where n is a positive integer.

Q: 2 So Adx 4-x

A: We can find the answer as below.

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: For which k is the residual term when q (x) = x17 -kx15 + (k-2)x10 + 2x + k2-2 is divided by x-1…

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Q: Prove that Σ", (2i-1)-. .

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Question #6

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Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

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Q: id I prove this qa is not to zero correctly? Please look over my proof and qa is not equa

A: Proof by contradiction:  Argument by contradiction is a type of proof in logic and mathematics that…

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: Eliminate the arbitrary constant for y= -4 + Ae

A: Option A is correct

Q: How can I calculate using Excel?   Suppose X~N(193,7), and Z~N(0,1). Then x = 204, is equivalent…

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

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Q: Solve for x using sci notation (2x)(2x) / (0.2) = 1.4 x 10^-5

A: In scientific notation, numbers like 0.0000053 will be written as 5.3x10-6

Q: Eliminate the arbitrary constants from the following equations. x2 = axy + by

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Q: B. %23 Explain how you can prove that LA LC.

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Q: dx 4. xV25-x2 5+vx2-25 In + C а. 5 b. In 5+Vx2-25 + C 5+v25-x2 In + C с. -- d. None of the above

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Q: -2 kx 1<x<0

A: The probability density function given is, fx=12kx-2 , 1&lt;x&lt;∞0 , o.w Here X is the random…

Q: in of (fo f)(x). (Enter your answer using

A: We have to find the following conditions according to the given information

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: Solve: 3ln( -1)-In(t +1)?

A: We need to simplify the given expression. 3lnt2-13-lnt+1

Q: Prove that x -2x+2>0 for value of x.

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Q: Differentiate the following f(x) =/20x- sin²(2x) Ox –

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Q: find f'(x) for f(x) = 2xtan-1 x - ln(1+x2)

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Q: Find the deravative $= In *1 2x3 Where x> o

A: f(x)=lnx2+12x3 We need to find the derivative of the given function.

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

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Q: Show that x+1/x is increasing on [1,∞]

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Q: Compute the following. 는[xs+19x3-7x2+ 11x -9)(-4csc(x)-17x-2+ 19)] dx

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Q: In this section, we showed that the rule d/dx1xn2 = nxn - 1is valid for what values of n?

A: given that ddxxn=nxn-1

Q: - To show that AADB (бх — 1)° 48 (4x + 25)° EACBD by AAS, what must be the 48 A' D value of x?

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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: Write the secant iteration for solving f(x) = 1/x - b = 0, in a form where no divisions are required…

A: In this question, we have to write the numerical scheme without division terms. f(x)=1x-b we use the…

Q: وسلام ax x2 ل ے- ل

A: Given :∫-4-2dx-x2-6x-5

Q: How do you solve for the inverse of of each element of ℤ7 with respect to ×7?

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Q: 8(x) = X -x3 + 2x x4

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Q: Assume that y = 69 when x = -3, y=-72 when x = 15 and y = 99 when x = 27. If we…

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Q: C. Show that f(x) = (x26)² has no inverse on the interval (-∞,0).

A: Since you posted two questions here, i can answer only 1. Please reupload second question again.…

Q: hraj h(x) = 3x-2 x347

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Q: Approximate the zero of f(x) = x' - x + 3 in [-2, -1] to within 0.00001. Show your work!!!

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Q: Find the root(s) of f(x) = x-12.42x +50.444x-66.552 in the interval 4sx56 to accuracy of 0.001.

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Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1

A: ∫xdxx-1

Q: Express the following as a single-den 4 2 x² - 16 x + 5x +4

A: Follow next step

Q: (b) Evaluate [(2.x+5)/x² +5x-8 dx, by using substitution method.

A: We use substitution method