Use sigma notation to write the Maclaurin’s series for the function f(x) = x cosx  Pls write complete solution

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Q: Find the area between the curves y 0.7x and y = 2.4x +1 from x = 0 to x = 4. = e Area =

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A: Telescoping series is the series in which all but the first and last terms cancel out .

Q: 1. Perform the integration. Show all necessary solutions. 8t² + sin t sint + cos ty dt co t

A: Find your answer below 

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

A: Let's find. 

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A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)   Considerlimx→-1-g(x)=limx...

Q: Evaluate the integral fr xe*" dA, where R = [0,4] × [0, 2]. (Use symbolic notation and fractions whe...

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Q: Evaluate the integral fR Tm dA, where R = [0,8] × [0, 8]. (Give you answer to three decimal places.)...

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Q: Determine whether a given function is homogenous or not homogenous: 1. f(x,y) = sin x 2. f(x,y) = x...

A: Since there is a mistake in third question i do first two question as per our company guidelines ple...

Q: Exercises Find the solution of the following Differential Equations 6) y'= V+x ソーX %3D

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: T/2 cos(9t) cos(18t) dt

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Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y² + 5xy – 2y + 4)dx +x(2x + 2...

A: First we making exact differential equation then find solution. 

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About th...

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Q: tan 7. dr r2

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Q: 1 6. S -dx (x+1)(x²+1)' 2x+1 7. S dx (x+1)(x²+2)

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Q: 3. 4 cos 2 s2-4sin = 5 %3D -

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Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =...

A: Given curve, y=2x+11x+5 Aim: To find the value of x at which tangent is perpendicular to the line y=...

Q: Question Find the derivative of f(x) In (3x³ + 2x²). Provide your answer below: f'(x) = O

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Q: Find the derivative of the following functions using the increment method. *b. f(x) = 6- Зх 1 *а. f(...

A: Topic:- derivatives

Q: 11-12: Simplify. 11. cscß(cosß + sinß) 1. 1+sinx 12. 1. 1-sinx

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Q: A substance N1 decays with a half-life of 45 seconds to substance N2. N2 has a half-life of 5 minute...

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Q: PROBLEM 2. Solve for the general solution term by term of the ordinary differential equation given b...

A: Topic - differential equation 

Q: S x²e2** dx

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Q: What is the area of the region between the curve y = 3x² and the x -axis on the interval [O, b]

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Q: Question Find the derivative of f (x) = log, (4x* + 3x) at the point .x 1. %3D Enter an exact answer...

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. ^2 cy? yz dx dz dy DNE -90 J-60

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Q: .3 x — 64х lim 5 2 X→0 x* + 2х

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Q: A car is initially traveling at 50.0 km/h. The brakes are applied and the car stops over a distance ...

A: Topic:- 

Q: 12x16

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Q: 1.) Determine the matrices C = A + B and D = A – B if 3 8. 5 9 -2 A = 8 -7 B -9 -1 -4 5 2 -3 -4 2.) ...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: 7. e*-4e * dx A 2 C. + C 2 + C ex x + - - x +2 e * + C x - 2 e * +C C O E None

A: Here,               We have given an indefinite                             integral now we have to ...

Q: xy+yz b) lim (xy2)-(0.0.0) x+y2+2

A: To find the limit: L=lim(x,y,z)→(0,0,0)xy+yzx2+y2+z2

Q: (3+ х) lim 1— (3-х)1

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Q: Geometric Sequence The value of a precious gold coin is increasing at a rate of 5% per year. If the ...

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Q: Evaluate the double integral. xy dA; R. R is the region in the first quadrant enclosed by y = Vx,y =...

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Q: What is the area of the shaded region? y = sin x TT ST 6

A: From the given region; So, The point of intersection between the curve and line is: y=sinπ6=12y=sin...

Q: Vx2 (b) / 4 dx; x > 2. x2

A: To find out the integration. 

Q: Evaluate the integral. Tt/3 V1 + cos(2x) dx

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Q: Graph of f The graph of the function f shown above has horizontal tangents at x = 2 and x = 5. Let g...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k + 4 E(-1)*+1...

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = x2 - 1 - In...

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Q: find the solution of this differential equation (x + 2y − 1)dx + (2x + 4y − 3)dy = 0

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Q: X-2 if x s0 2. Draw a sketch of the graph of the function f(x) = - and evaluate the following limits...

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Q: dx 3xv4x2 – 9 EVALUATE. Hint: RESULTING TO INVERSE TRIGO. du uýu² – a² =- Arcsec-+ C a a.

A: Given

Q: Lm e7x dx 00

A: This question is based on definite integral.

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Q: questions

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Q: Evaluate the derivative of y = (2x – 1)° (x – 2)° at (1, -1). Use theorems of differentiation.

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Q: 1 dx O (1+ x)1/4 1.

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Q: Find the radius of convergence of the power series. (If you need to use o or (-1)" x" Σ 2" n = 0

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