1 8. Find the value of p for which the series Lninn: (ln (In n))º is convergent. n=3

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

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Q: Use sigma notation to write the Maclaurin series for the function 5 In(1+x) Σ

A: To find: The Maclaurin series of the function f(x)=5ln(1+x). Concept used: The Maclaurin series is f...

Q: W= x"+y+Z",

A: This is a problem of partial differentiation. Based on the general formula of PDE we will solve the ...

Q: Given: ((x)dx Evaluate f(v2). There is a function f(x) such that when u = -x³, the resulting integra...

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Q: O lim (-3+h)²-9 %3D

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Q: ie lollowing anclions 3 · y² = 6 – x %D

A: Topic = function

Q: A. 5x + 6+ 4x

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Q: m+2m Consider J dm. If we letu = m+ 1, what will be the resulting integral as a function of u? In(u)...

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

A: Please see the below picture for detailed solution. 

Q: dy dr + y = x

A: We are asked to find the degree of the differential equation.

Q: x(x+2)(x-1) Problem 6. Consider f(x)= Do all three parts: a. b. c. x+5x+6 a. Is there a horizontal a...

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Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: Write the first five terms of the sequence: 11 ln 7n) +00 In n n Determine whether the sequence conv...

A: Given: ∑n=1∞11ln nn

Q: u+1 Using u-substitution, the integral S f(x)dx reduces to a new integral f g(u)du. If g(u) evaluate...

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Q: Select all possible vector equations for the line through the points (1,1,1) and (3,4,5). OF (t) = (...

A: Note that the vector equation of the line passing through two points a→ and b→is given by: r(t)=a→+t...

Q: Solve using the U-Technique Question 5 The integral / 2 *)cos(2*) dx takes the form k/ cosu du when ...

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Q: 3. Is the function given by Sx-4x-5, メ<5 X-5 2. continccus at x =52 Why ar whynot ?

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Q: Given an autoregressive model y(t) + a1y(t – 1) + azy(t – 2) = e(t) derive and plot the area in the ...

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Q: Determine Functions Directions: Determine which relations represent a function and then drag each in...

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Q: (e) S (x2+4x+5)2 d.x

A: To integrate: The integral ∫x+1x2+4x+52dx.

Q: On the interval -2<x<-1/2, the graph of the curve f (x) = 2x° +3x2 - 12x - 7 is: %3D Support answer ...

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: Given series:  ∑k=1∞k(1/5)k Then , ak=k(1/5)k ak+1=k+1(1/5)k+1

Q: The sum of the series E-1 1-2n is: A) 1. B) 2. C) : D) 3

A: Here we have to find the sum of series ∑n=1∞121-2n

Q: Question 2 If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) 16 A 5 4 x3+4x4 3 B (4x² – 2x) 3 16 4 x3 ...

A: The given integral is 16x4-16x3+4x2.

Q: foex-2X+1, find f (xth)-f(x)

A: The function is given by fx = x-2x2+1 To evaluate: The expression of fx+h-fxh

Q: Write an equation for a sphere centered at the point (-1,2,3) with radius 8.

A: topic -  sphere 

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt V sin t

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Q: IV. Find the particular solution of each of the following. 1. (2х — Зу + 2)dx - (3x + 4у-5); у(-3) %...

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Q: Set up a definite integral with respect to x (dx) (set up only, do not evaluate the integral) to fin...

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Q: 9. Evaluate f(e* + 2*) dx a.) 2e* + +C In2 b.) er + 2ln* + C c.) e* ++c d) e* + 2ln x + C In2 10. Ev...

A: Evaluate integrate. And follow step 2nd .  According to guidelines we solve only first three parts. 

Q: 4. If x - xy + y = 1, find y 3x a.) x-3y2 c.) d.) ay b.) 1-3y2 3y2. 5. If 3x? +2xy + y? = 1, then y ...

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Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide ...

A: Solution is written in below steps.

Q: Q1: Find the slope-intercept forms of the equations of the lines that pass through the point (3, -4)...

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Q: Solve using the U-Technique Question 10 For ſk*e3*dx = 1 (ke)3x 3 (1–In 2-1) If u = 3x, then k =? .....

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Q: 4x – 1 for the 2 tan(4x-1)-3 cos² (4x-1) dr. what will be the resulting integrand? If we let u = cos...

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Q: If the solution to fez* sec²(e2x+1)dx is equal to k tan(e2*+1) + C , find the exact value of k:.

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Q: ential equation. ect answer below. 5-12 + C

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Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for               y2 = 4ax differentiate this equation with respec...

Q: Evaluate the integral. 5 x2 e dx +C

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Q: Solve the initial value problem. d²y = 2 e -X, y(0) = 0, y'(0) = 4 dx

A: ∫ d2ydx2 =∫ 2 e-x dxdydx=2e-x(-1)+Bdydx=-2e-x+B ...(1)

Q: Given: 2/(x)dx There is a function f (x) such that when u = -x, the resulting integral is 2du Evalua...

A: Need to find the function f(x). Given information: The integral is ∫2f(x)dxe-x3. There is a function...

Q: y = cje* + cze²r y" -y – 2y = 0 O 2y " -y' – y = 0

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Q: The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

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Q: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...

Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-...

Q: Uncover the function f shown that the slope of the tangent line to the chart of f at any point (x, f...

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Q: Calculate the real values of x and y such that (x+y)³ is bigger than 8

A: Given: - The expression (x+y)3 is bigger than 8. To calculate: - The real values of x and y.

Q: nsider the following function. (x) = 2* -9 (a) Find the critical numbers of f. (Enter your answers a...

A: Topic:- calculus

Q: sin'r dr

A: