### Word problem

Dont really want you to give me answer, just thoery on how to complete these type of problems. Word problem with calculus Thank You (See Attached)

Explore BrainMass

- Anthropology
- Art, Music, and Creative Writing
- Biology
- Business
- Chemistry
- Computer Science
- Drama, Film, and Mass Communication
- Earth Sciences
- Economics
- Education
- Engineering
- English Language and Literature
- Gender Studies
- Health Sciences
- History
- International Development
- Languages
- Law
- Mathematics
- Philosophy
- Physics
- Political Science
- Psychology
- Religious Studies
- Social Work
- Sociology
- Statistics

Dont really want you to give me answer, just thoery on how to complete these type of problems. Word problem with calculus Thank You (See Attached)

Please respond with a Microsoft Word document. Thank you. Please see attachment for actual questions and full formulas. 1. Decide whether Rolle's Theorem can be applied to on the interval [-1,3]. If Rolle's Theorem can be applied, find all the values, c, in the interval such that . If Rolle's Theorem cannot be a

Please respond with a Microsoft Word document with the answers written in standard text. Thank you. Series of Various Calculour Questions Attached.

Using covolution, find the solution of the differential eq y"+4y'+13y=(1/3)e^(-2t)sin3t y(0)=1, y'(0)=-2

Consider the forced harmonic oscillator: y'' + by' + ky = g(t) + y0 where the forcing is made up of two parts, constant forcing (y0) and forcing (g(t)) that changes over time. a) Let w(t) = y(t) - y0/k. Rewrite the forced harmonic oscillator equation in terms of the new variable w. b) In what ways are the solutions of the t

Please see attached

Please see the attached file for the fully formatted problem. Find a general solution on (-pi/2, pi/2) to y'' + y = tan x given that S secx dx = ln |sec x + tan x|.

Given that the differential equation y^n + p(x)y' + q(x)y = r(x) attached has three solutions of sin x, cos x and sin 2x. Find yh (yh is the corresponding homogeneous solution). See attachment for better formula representation.

Given that the differential equation y^n + p(x)y' + q(x)y =0 has two solutions x^2 -x and x^3 - x. Use the Wronskian to find p(x). See attachment for better formula representation.

Find a general solution to the equation in the attachment

Solve the initial value problem y" + 2y' + y = 0 y(0) = 1 y'(0) = -3

Determine whether the following questions are linear or nonlinear. (a) yy''-y'=sin(x) (b)x^2y''-y'+y=cos(x)

View attachment

I attached the problems that I would like you to do. I have already completed these problems by myself, but would like to see if I did them correctly and would like to compare your answers with mine so that I know which problems I mastered and which I need to study up on. Thank you.

Attached is more clear 1. Distance from a a point to a curve: Find the shortest distances between the point (1,2,1) and a point on the curve r(t)= (1/t*i)+(lnt(t)*j)+(sqrt(t)*k) 2. Distance from a point to a curve: Find the maxmium distances from the point (1,2,-1) to a point on the curve of intersection of the plane z=(

Find the inverse Laplace transform of (s^3+s^2+2/s) / [s^2(s^2+3s+2)] Using this (or otherwise), Find the solution of the equation y"+3y'+2y = 1-t Find the transform of the following functions: f(t) = (1+t^2)[u(t-1)-u(t-2)] where u(t) is the unit step function. f(t) = sin(t) for 0<t<Pi and f(t)=0 for Pi<t<2*Pi

(d^2 *y)/(d*t^2) + 3*(dy/dt) + 2y = 24* exp(-4*t), y(0)=10, y'(0)=5

See attachment

Solve for variable y in terms of t W/ given initial condition: dy/dt + 4y = 40sin3t y(0)=6

Solve y in terms of t with initial conditions given. a.) (d^2)y/dt^2+3dy/dt+2y=24e^-4t y(0)=10 y'(0)=5 b.) (d^2)y/dt^2+6dy/dt+9y=0 y(0)=10 y'(0)=0

Use 1) sum of (x ^ (n +1))/ (n +1 ) converges uniformly on [-1, 0] 2) sum of x ^ n converges uniformly on (-1, 0] 3) sum of x ^ n = 1/(1-x) to show that ln 2 = 1 - 1/2 + 1/3 - 1/4 ...

View attachment

4. For the initial value problem dy/dx = 3y^(2/3), y(2) = 0, (a) does existence uniqueness Theorem 1 imply the existence of a unique solution? Explain. (b) Which of the following functions are solutions to the above differential equation? Explain. (b_1) y(x) = 0 (b_2) y(x) = (x - 2)^3 (b_3) y(x) = (x - alpha)^3, x <

View attachment

Find the inverse laplace transform: (L^-1) * [1 / (s^2 * (s^2 + 1))]

Find the inverse Laplace transform: (L-1) * [(e^-2s) / (s^2)]

Please see the attached file for the fully formatted problems.

This is from a Trig/Calculus course...Explain FULLY: If F(x) = x^4 - 2x^3 + 4x^2 - 9 Note: ^ indicates exponant. Find F prime of x. It will be a derivative. I need every step explained clearly as I have a bet riding on this! I need to be able to show every step in order to win my bet.

Use the method of undetermined coefficients to solve the following differential equation. y'' + 2y' - 3y = 9x - 10 sin x y(0)=0 y'(0)=4

Y'' + 2y' - 3y = e^(-3x) + x^2 * e^x