c) an (-1)" (4)" d) аn — 5 — п

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A:

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Q: II. For each of the following functions, find the indicated derivative using the definition. Show so...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Using appropriate substitution, the integral S e t3 dx is equal to:

A: ∫ex-3dx/x4 now substitute u = x-3 du/dx = -3/x4 dx = -x4du/3 ∫ -eudu/3 (-eu)/3 + c now put value of ...

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A: Radius of convegence of the power series,  ∑ak(x-c)k, k ranges from 0 to infinity is given by, 1/R=l...

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Q: Use the Composite Trapezoidal rule with the indicated values ofn to approximate the following integr...

A: As per bartleby guidelines we only give first question answers. 

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Q: Evaluate

A: We will evaluate the integral. 

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Q: tiny, no bug lands on a piece of graph paper and walks along a path so that t minutes after it lands...

A: Increasing function

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Q: ) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the finit...

A: Area under the curve =∫ab(upper curve -lower curve)dx  

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A: Solution: 5sin(πx);   x0=132,  n=0,1,2,3,4  

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about a = x0 and then find the nth Taylo...

A: The formula for the Taylor polynomial of degree n is: pn(x)=f(x0)+f'(x0)1!(x-x0)+f''(x0)2!(x-x0)2+.....

Q: In?(x) 25 log (x)

A: To find:-

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A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=25+dd...

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(/x) xp

A: ∫5cosh(x)xdxlet x=tdifferentiate on both sides12xdx=dtThen ∫5cosh(x)xdx=5∫2cosh(t)dt

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Q: Find the nth Maclaurin polynomial for the function. 5x - 3 f(x) n = 4 x + 1 Pa(x) =

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Q: x+1 For the function g(x) = , 2 a. Determine the equation for any vertical asymptotes, if there are ...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Topic:- sequence and series

Q: Use the formula for the binomial series: (1+x)™ = 1 + mx + x² + .… + m(m–1) m(m–1).-(m-k+1). k! + .....

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Q: Imagine yourself as a teacher. Explain how the graph of the function f(x) = ax + b depends about dif...

A: Line

Q: Compute the angle between the two planes 2x + 3y + 7z = 2 and 4x - 2y + 2z = 4.

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Q: Consider the differencial equation given by: 1にY01/sa) de a) This equation have Three equillibrium p...

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Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to b...

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Q: 12x Ja +9)6 dx

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 2(-1)*+1_k+ 10...

A:   ak =(-1)k+1 k+10k(k+11) {bk} =k+10k(k+11)bk - bk+1 =k+10k(k+11)-k+11(k+1)(k+12)=k3+23k2+142k+120-k...

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Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16 ...

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Q: Solve the given diffe rential equation by using an appropki ate subrh tution The DE is a bernoulli e...

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Q: Write the first five terms of the sequence, give the exact answer: { too n+23 T=1 Determine whether ...

A: On solving this we will get

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A: Given function f(x)=lnx2+4 “Since you have asked multiple subparts question, we will solve the first...

Q: 1 1 cos³30 \cos830) sin330

A: Solution is written in below steps.

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Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A: The given quantity is  sin(2π-x)

Q: S5e* dx 12 dx 2 x+5 S(2-3e*) dx

A: ∫ 5exdx

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: Question : Find the general term of the sequence starting with n=1 . Determine whether the sequence ...

Q: Find the equation of tangent line to graph at f at the given point.

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Q: + - Consider (x. Using u-substitution and transformation of integrand, then the power formula applie...

A: Here we have to find values of  K,n from the integral after U substitution as shown below