Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynomials, pr(x) for the function in sigma notation for f(x) = eax

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A: ∫f'(x)f(x) dx =lnfx+C ∫ax+bn dx =1a.ax+bn+1n+1+C ∫1x2+a2 dx =1atan-1xa+C

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Q: Evaluate the following integral as power series.

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Q: dx 4) S xVx2-9 x2 dx 5))S To 9-x2

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Q: a. Graph f(x) = 0, x= 3. b. Find lim f(x) and lim f(x). x-3 x-3+ c. Does lim f(x) exist? If so, what...

A: We have find graph and check limit exists yes or not, if exists the we have to find limit

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Q: Hw Find and Jw fok the following functions w-ex sincxty}

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Q: 2. - 4

A: The given integral,    ∫dyyy8-4

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Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear approxim...

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A: Explained below 

Q: Question Let f(x) = 2x-1-3. Its inverse will have a domain of [-3, 0). Which of the following repres...

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Q: Prove BCスツ+)B[スかリック =B(X1y)

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Q: It is a special type of Taylor series such that a = 0 O Taylor Series Harmonic series O Maclaurin Se...

A: The objective is to find the maclaurin series. 

Q: 32 e こと dz と+e Use gamma or beta laws with the solution in detail of

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Q: Write a differential formula that estimates the change in the surface area S= 6x of a cube when the ...

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Q: *00 エ くO LL R の (X)f where f(x) = x +1 and g(x) = x² + 3x – 2. What is h' (x)? = (x)y ə7 (x)8 Select...

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Q: 5. xedy + x²+1 dx 0 %3D y 6. dz - (4x3 - 4x³z+x³z²)dx + (4y – 1)(2 – z)²dy

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Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per y...

A: Given population of world in 2015  was 9.75 billionlet   for t=0 , we have year 2015

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Q: figure. What should be the dimensions of each enclosure if the total area is to be a maximum? What i...

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Q: Solve using horizantal Slide EX Evaluat.f.x.d. whae..is.the..sm.in.the fring .. .quadrant..baunded.l...

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and the find the nth Maclaurin polynom...

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Q: Determine whether the function is even, odd, or neither. f(x) = |x| - 2 Choose the correct answer be...

A: Given:- f(x)=|x|-2 To find:- Given function is even,odd or even

Q: cot e dv 3. (v +9) 1- cot -cos e

A: The objective is to evaluate the integral.

Q: glo) (a) A type of power series in a form, E n! n (x – a)" Bessel Series O Harmonic Series Maclaurin...

A: This question is about finding the name of series by looking at formula. 

Q: S (2) = sec (x – 5) – 2 %3D 3.

A: Given that fx=secx-π3-2Solution : if y=asecbx-c+dperiod=2πbphase shift=cb *  the stretch factor hori...

Q: 5. tan?x = 3 secx 2 %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

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Q: Consider the following sequence: 5" {an } = an+1 -to show that the given sequence {a,n} is strictly ...

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Q: 2 x-6 = 1/8

A: Given:   2x-6  =18