Determine if the series comverges or diverges. If the series converges, find its sum. If it Σ 4n 4(n+2))

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Q: The function f(x) = 6x¬1 for the interval (1,3) has a local minimum. a local maximum. both local min...

A: Note :- As you write for solution only for interval [1,2] so i  am providing solution only for it.

Q: dx J-25a2 1–25x² -25x2 8.

A: The objective is to evaluate the integration. 

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Q: x +3, (x + 3)² 1+ + 22 32

A: This is a problem of series and sum calculation. First we will convert the given series into sigma f...

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0

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Q: Integrate f(cos x)e*+sin xdx B. e-sinx +C A. -et+sinx + C c. ettsinx + C D. e+sinx C

A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt...

Q: 3n 2n TE S. (sin x + cos y)e dx dy dz A. 2n(e2n + e3) B. 2m(e2 – e3") c. 2m(e + e2") p. 2n(e- e")

A: For the solution follow the next steps.

Q: If f(x) is continuous over an interval [a,b], and the function F(x) is defined by F(x) = [ f(t) dt, ...

A: This is a problem related to the trigonometric integral calculus. Based on the general fundamental t...

Q: Make the u-substitution 2u 1- u? dx = 1+ u2 sin x = Cos x = and du 1+ u? to convert the integrand to...

A: integration using the substitution method

Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

Q: 1.)D, show why

A: Answer :- CAN'T TELL. 

Q: General Solution of a First Order Linear Differential Equation A first order linear differential equ...

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Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of int...

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Q: What is the area bounded by the curve x² = -9y and the line y +1 = 0 ? A. 4 sq.units B. 2 sq.units c...

A: I am attaching image so that you understand each and every step.

Q: Your answer is incorrect. If L is a line in 2-space or 3-space that passes through the points A and ...

A: Explained below 

Q: Que of the component of the vector AP that is orthogonal to the vector AB. Math Grap P Qu Mat Vi Use...

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Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)...

A: find area using double integration

Q: Given f(x,y) = 3x sin(2xy).  Find fx(3,3). Give you answer correct to two decimal places.

A: The objective is to find fx(3,3).

Q: A first order linear differential equation is one that can be put in the form +P(z)y=Q(z) where P an...

A: xdydx-y=-2x7+12x4

Q: Get the integral of ſe*sin x dx using integration by parts c. e*(sinx – cos x) + c D. -e*(sinx – cos...

A: The integration of the integral is exsinx. 

Q: Use Cramer's rule to solve the system. 4x - 2y - z= - 6 3x - 5y - 5z -6 2x - 3y = 2 Write the fracti...

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Q: Coefficients Linear in the Two variables: Solve the equation (x + 2y – 4) dx - (2x + y - 5) dy = 0 O...

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Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e* +...

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Q: Given f(x,y) = 5x sin(3xy).  Find fx(4,2). Give you answer correct to two decimal places.

A: fx(x,y) is partial derivative of f w.r.t x

Q: Given f(x, y) = In Vay³. What is the value of fy (1, 2)? If the answer is a fraction, write your ans...

A: Given:  fx, y=lnx2y3 To Find:  To determine the value of fy1, 2.  

Q: Find the equation of the normal line to the graph of e tan(ry) – In(r – 3y) = sin (7z) at the point ...

A: Solution is written in below steps.

Q: Find tan x dx.

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Q: 00 1 -dx x3 – 1 1 4

A: Use the definitions of improper integrals to write the improper integral in terms of limits.

Q: Evaluate the integral. (Use C for the constant of integration.) | sz?e" dz

A: ∫5z3ezdzusing integration by part ∫fxgxdx=fx∫gxdx-∫dfx∫gxdxdxNow, fx=5z3,gx=ez∫5z3ezdz=5z3∫ezdz-∫d5z...

Q: 1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to th...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15 + =sin(8nt),...

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Q: बिले (x-1) (x+1)

A: solution )∫x/(x+1)2(x- 1) = I use of integration of partial fraction  x/(x +1) 2( x - 1 )  A/(x + 1 ...

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15+sin(8t), whe...

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Q: Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations. In...

A: Given query is to find the asymptotes.  

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 67...

A: we have to find the elasticity.

Q: answer?

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A: we will take logarithm on both side of the function and after solving the limit, take antilogarithm....

Q: 3. Find the area of the region bounded by x = 3 – y and the line y = x - 1. Sketch the graph of the ...

A: Given: x=3-y2 & y=x-1   Now find the point of intersection between the given curve and line. y=3...

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x^3/2+1/6x,...

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Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information....