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Q: Find the radius of convergence and the interval of convergence. (x – 3)* 2k 00 k=0 1)

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Q: Evaluate using wallis formula and text/upload your solution on the space provided. 1.) sin'xcos'x dx...

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Q: folve the given differential equation by finding Factor. appropriate integraing an Gxy dx t (ay +ax3...

A: Let's find. 

Q: ek is convergent or Use the Integral Test to determine whether the scries 1+e2k k=1 divergent. Remem...

A: For integral test, f(x)=ex1+e2x. Now,               ∫ex1+e2xdxLet  u=ex.=∫11+u2du=arctanuSubstitute ...

Q: QS) A) Graph the curve Y= -2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4). then find the ar...

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

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

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Q: Use the Product Rule or Quotient Rule to find the derivative. f(x)=(−3x3−5x12)(−4x13−5)

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Q: Find the derivative of the function. y = xe¬x/ y' = %3D

A: ddxxe-x7  

Q: 1.(Easy) In determining the integrating factor exp(S p(x) dx) for the first-order linear ODE y' + p(...

A: Given,            In determining the integrating factor exp∫pxdx for the first-order linear ODE.    ...

Q: n (a) Express lim as a definite integral. i=1

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Q: 2csct -1 D csct +2

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Q: Find the radius of convergence and the interval of convergence. Σ k + 10 k=0 Radius of convergence: ...

A: Given problem:-

Q: x+1 For the function g(x) Find the second derivative of g.

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post othe...

Q: Use the formula for the binomial series: m(m-1) m(m-1).(m-k+1), (1+ x)" = 1 + mx + 2! k! 1+ E=1 m(m-...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k...

A: The given series is: ∑k=1∞(-1)k+1k76 Let, ak=(-1)k+1k76; k≥1

Q: Find the derivative of the function y = cot^-1 x^2– cos^-1 (x + 1/x – 2). %3D

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

A: (a)To find the equilibrium point. (b) Classify each equilibrium point as asymptotically stable or un...

Q: Q5) A) Graph the curve Y = - 2 x (x -4)(x + 6)(x - 2) between the value of x [0, 4), then find the a...

A: The curve y=-2xx-4x+6x-2 between the value of x∈0, 4

Q: Find all angles 0 between 0° and 180° satisfying the given equation. Round your answer to one decima...

A: We can use the formula  θ=sin-1ab and sinθ=sin(180-θ) to solve this equation

Q: Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, a...

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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: Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2(n +...

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Q: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in livin...

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Q: Q3) A) Graph the two equations and find the points in which graphs intersect x+y = 0, y= -(×TDÍA UNI...

A: Given

Q: Consider the following function. fx) = (x* + 4x°) %3D Find f'(x).

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Q: 3(1+t^2)dy/dt=2ty(y^3-1) how to solve this differential equation

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Q: 10 (100*+1) dx

A: I have stated the used formulas in the solution 

Q: find the nth Maclaurin polynomial for the function in sigma notation. 11 cos(Tx) po(x) : P1(x) : P2(...

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Q: Let E be the solid region bounded by the planes z= y, z = 2y, y 1, a 0, and r 3. The density of this...

A: We have to find the equation in integral form. And evaluate the mass of the object.

Q: f(x) = X-5 if xŹ 2 at x = 2 2x if x< 2

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Q: Use the limit comparison test to determine whether the series converges. Σ 3k +4 k=1 The series

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Q: sinx dx TI cosx t ecoSX 2

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Q: Solve the given initial-value problem. dx - 3у?, х(6) %3D1 y X = dy x(y) = Give the largest interval...

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Q: 4) Find the interval of convergence for the power series Σ (-1)"-1п 2n n=1

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Q: Show that the sequence +o0 is eventually strictly increasing or eventually strictly decreasing. an+1...

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Q: Find the third derivative of the function: Y = =+ VX3 %3D

A: To find the third derivative of the function: y=1x+x3  

Q: (a.) the critical numbers of f (b.) all relative extrema of f (c.) the intervals on which f is incre...

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Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

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Q: 3. A particle is moving with the given data. Find the position of the particle. a(t) = 3 cos t-2 sin...

A: Topic:- application of integration Note:- as per our guideline if more than one question uploaded th...

Q: Tutorial Exercise Find the indefinite integral. sin 70 V cos 70 de Step 1 To solve the integral sin ...

A: Given problem:- ∫sin3(7θ) √(cos(7θ)) dθ  

Q: 5. A man 1.9 meters tall is walking away from 6,7-meter-tall lamp post at the rate of 170 cm/s. a. F...

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Q: Using the tabular approach, evaluate lim X-1+ Inx

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Q: dy ay +b who dt Write down a differential equation of the form solutions all approach y 3 as t → 4 3...

A: We will find the Differential equation. 

Q: /2 1 - dx J7/3 1 + sin x – cos x 7. .

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: Use the formula for the binomial series: mm-1)2 ** (1+x)" = 1+ mx + m( m1)---(m-k+1), k! + ... 1+ £=...

A: The given expression  1+x8

Q: Solve the differential equation by integrating factor method, dy (x + 1)2+ (x +2)y = 2xe¬*. dx

A: Given,            x+1dydx+x+2y=2xe-x.To find : Solve the differential equation by integrating factor...

Q: Find the indefinite integral. sin 78 V COS 76 de

A: Given: I=∫sin37θcos7θdθ  ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: r = radius of circle a = length of each side of equilateral triangle  

Q: Find the indefinite integral. sin3 70 V cos 70 de

A: