solve using variation of parameters or reduction of order. (D2 + 1) y = tan x

Q: Find the General Solution: y" - 3y' + 2y =4e ** -4x

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Q: Use the Laplace transform to solve the initial value problem y" + 4y' + 3y = 0 y(0) = 2, y'(0) = –1 ...

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Q: Consider the following equations. f(x) = Vx + 5 %3D g(x) = x + 5 Sketch the region bounded by the gr...

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Q: 2. lim 2. lim f(x) = 1 and f(0) = -3 1. lim f(x) = -1 and f(1)DNE x-1

A: 1. limx→1f(x)=-1 and f(1) DNE2. limx→0f(x)=1 and f(0)=-3

Q: 14. y(4) – 4y" + 4y" = 0

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Q: quation. Do not simplify.)

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Q: Poblam cu (a) Compute Cm 2月-/ where xe [-,]. (1) 2n 2n-1 where ze C-1,1]. (b) Gompule Cm z nっ%

A: (a) 

Q: For real number p, let f and g be defined by f(x) =e¯*x³ and g(x) = 1/xP, respectively, on [1,0). Sh...

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Q: Determine the volume of the rotating object using the shell-tube method Volume ( πr2h) Area bounde...

A: Given

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given series is ∑k=1∞164k2+48k-7 Determine whether the series is convergent or divergent

Q: 19) In Problems 19) through 21), given a piecewise function: |(1- tanx)cot x f(x) = 3/ k (x > 0) (x ...

A: Given that:                              

Q: Electric charge is distributed over the rectangle D= {(x, y): 14 <I< 17, 12 < y < 15}. Assume that t...

A: We have to find the total charge on D

Q: Find the General Solution: y" +y' - 6y = 2x

A: The given equation is a second order linear differential equation having constant coefficients. The ...

Q: cos x 3) 1+ sin x 6) [cosh vdv

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Q: Elminote the orbitrary constants X =k +ct, y= ct² Find the differenhal equation of the

A: Given: x=k+ct; y=c2t2To form a differential equation by eliminating arbitrary constants  

Q: Find the limit. x* – 1 - lim x→0+ In (x) +x – 1 п lim ( 1+ n

A: These question is based on Limits.

Q: Sec o

A: The solution is given in the next step.

Q: 11. у" - у" - у +у%3D0

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Q: DEGREE

A: We have to determine the order, degree and linearity of the given differential equations according t...

Q: Find the point of intersection between the line x+2/6 = y - 3 = z/3 and the plane x + 2y – 4z = 0.

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Q: Write the first five terms of the sequence: (7 ln n +00 n n=1 Determine whether the sequence converg...

A: Given 7lnnnn=1+∞

Q: Use shell method to determine the volume of the solid of revolution generated by revolving R about t...

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Q: dx xVxt-8

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Q: Get the derivative of dz/dx. XY z =

A: Here we will find the derivative dz/dx,

Q: Find the area of the surface obtained by rotating the curve y 5æ? about the y axis for 3 < x < 8 - N...

A: Given: y=5x2

Q: Evaluate the limit |t +5| lim t→ - (5) t + 5

A: we have limt→ -5-t+5t+5

Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

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Q: Solve dy 2 3y dx 2.x ||

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y a...

Q: 1. Solve the triangle. Include all possible triangles. Round each value to one decimal place a = 3, ...

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Q: For the function f(x) = 1 – 1/ (x + 2)2, find the following: f(-x)

A: topic- functions

Q: The distance, in feet, a moving object has traveled after t seconds is given by 3t/(4 + t). Find the...

A: We can find the required acceleration as below.

Q: Set up the definite integral that gives the area of the region. Y1 = x2 + 2x + 4 Y2 = 2x + 8 dx -2

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Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p...

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Q: y Iny Ae^+ Bex

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Q: Setup an integral to find the surface area obtained by rotating the curve y = x x = - 6 for 60 < x <...

A: Here we will setup the integral for finding surface area, 

Q: Evaluate the expression. 3 4 O A. -81 O B. 81 Ос. 81 1 O D. (-81)

A: We can find the answer as below in simplified form.

Q: 4.cos(x) Let f(x) = and calculate sin x f(x) dx by using integration by substitution. What was your ...

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Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

A: The equation of the line is y = 2x and the terminal side of the angle lies in quadrant III

Q: Write the first five terms of the sequence: {Vn² + 7n – n}n=1 Determine whether the sequence converg...

A: The given sequence n2+7n-nn=1+∞

Q: The formula for the volume of a right circular cylinder of radius r and height h is V = πr^2h. At th...

A: We will find that how fast is the height of the cylinder changing at this same instant?Below find th...

Q: Express as a difference of logarithms. a log-

A: Property of logarithm: log(m/n) = log(m) - log(n)

Q: 31. (a) Use the Quotient Rule to differentiate the function tan x f(x) see x (b) Simplify the expres...

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Q: sec? V5 ), tan 17 dx

A: Evaluate the given integral by using substitution I=∫sec2x5tan17x5dx

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

A: The given question can be solved as shown in step2.

Q: h(x) = [square root] 5+4f(x) f(4)=5 f'(4)=2 find h'(4)

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Q: (b) If f(x) = E anx", specify the domain of f. n=1 Based on your answer in Question 2(b), explain wh...

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Q: d x 2. 2 dx 5X = 8e when t 0, x = 4 - 8

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Q: Find the unit vector i in the direction of the vector v = (6, - 1). Type your answer in component fo...

A: v→=6,-1v→=36+1=37

Q: dy + 2xy = 4x dx

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Q: Determine whether the equation defines y as a function of x. Please show all the detail steps of you...

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