A mass of 25g is attached to a vertical spring with a spring constant k = 3 dyne/cm. The surrounding medium has a damping constant of 10 dyne*sec/cm. The mass is pushed 5 cm above its equilibrium position and released. Find (a) the position function of the mass, (b) the period of the vibration, and (c) the frequency of the v
(See attached file for full problem description with diagram) An open-top box is to be made as follows: squares of a certain size will be cut away from each of the four corners of a 20" x 30" rectangle, and the ends will be folded upward to form the corner seams, as shown. How big should the square cutouts be in order to maxi
For the demand function d(x)=12.48-.005x^2 and the supply function s(x)= square root of x a) Determine the equilibrium point. Sketch the graph of the demand and supply functions on the same set of axes showing the equilibrium point and the area of the graphs which are the consumers' surplus and producers' surplus. b) De
Solve initial value problem of Differential equation. See attached file for full problem description.
Differential Equations. See attached file for full problem description. There are two problems 20,27
Please show problem step by step I need very detailed info so I can memorize steps for upcoming quiz. Scanned work is ok as long as I can read it. y''- 4y =2; y1= e^(-2x). See attached file for full problem description.
Differential Equations. See attached file for full problem description.
1. Use the power series method to solve the following initial value problem (other methods are not acceptable) xy" ? xy' + y ? = 0, y(0) = 1, y'(0) = 2. Your answer must be in closed from. That is, your answer must not have infinitely many terms. Remember that you MUST show all work. 2. Find the general solution of the differ
In the problem, use Euler's method to obtain a four decimal approximation of the indicated value. Carry out the recursion of (3) by hand, first using h = 0.1 and then using h = 0.05. y' = 2x - 3y + 1, y(1) = 5; y(1.2)
D2y/dx2- dy/dx - 4y =0
1. Find a general solution of the differntial equation Then find a particular solution that satisfies the intiial condition . 2. A bacteria population is incresing according to the natural growth formula and numbers 100 at 12 noon and 156 at 1 p.m. Write a formula giving after hours. 3. Apply Euler's method to th
Please see the attached file for the fully formatted problem.
Please solve this differential equation. Thank you!! (d^2y/dx^2) + 6 (dy/dx) + 9y = 0
Assume An=[-1/6+ 1/(n+1), 1/(n+2). Calculate lim An or prove it does not exist.
Dy/dx=(-y^3 ) (x) (e^(-2x) + y) Please write the final answer explicityly in terms of y.
Water level in containers - Differential equations. See attached file for full problem description.
First Order IVP. See attached file for full problem description.
The function is defined by: erf(x) = for each x 1. Show that erf is strictly increasing on (- ,+ ) 2. Express the integral in terms of the values of erf. Hint(May want to do a substitution)
(See attached file for full problem description) Using the fundamental theorem of calculus and chain rule, For example, letting the expression equal F(x), and G(u) So for 1) we would have F(x)=G(x ) By the chain rule, dF/dx(x)=(dG/du)|u= x (du/dx) =(1/ | u=x ) (2x) =2x// Determine the derivative: 1) d/dx
Please see attached file for full problem description: Using the fundamental theorem of calculus and chain rule, For example, letting the expression equal F(x), and G(u) Determine the derivative:
1. find the solution of the initial-value problem: dy/dx = (sin(3x))/(2+cos(3x)), y=4 when x=0 using equation: (f'(x))/(f(x)) dx = ln(f(x)) +c (f(x) > 0) when integrating. 2. a. find in implicit form, the general solution of the differential equation: dy/dx = (4y^(1/2)(e^-x -e^x))/ ((e^x +
Explain why vectors QR and RQ are not equivalent. Explain in your own words when the elimination method for solving a system of equations is preferable to the substitution method.
Bayside General Hospital is trying to streamline its operations. A problem-solving group consisting of a nurse, a technician, a doctor, an administrator, and a patient is examining outpatient procedures in an effort to speed up the process and make it more cost effective. Listed here are the steps that a typical patient follows
See the attached files. Instructions for this posting ? All calculations must be shown and all steps must be motivated. A correct answer without the necessary detailed explanation will not earn full marks. Therefore I will not accept the response. ? Please plot all graphs in MATLAB. If you do not have MATLAB then you may u
I am looking for assistance with a hodgepodge of problems in which we were asked to answer. I have attempted to provide answers however I am turning for clarification for correctness and/or if missed any information and also how/what is meant by graphing the information within the task. I am going to assume this is the asympto
A geologist you spoke with is concerned about the rate of land erosion around the base of a dam. Another geologist is studying the magna activity within the earth in an area of New Zealand known for its volcanic activity. One of the shortcuts they apply when doing calculations in the field is to use synthetic division. After the
See attached file for full problem description. Please help me solve these: 1. 2. Thank you!
Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing. What would be the difficulties associated with modeling this situation?
Hi, I need to find a formula for the sequence below by first finding a recurrence for a_n, then solving the recurrence. Thanks! a_n = 1/2 + 2/4 + 3/8 + 4/16 + 5/32 + · · · + n/(2^n) = sum_{k=1}^n (k /(2^k))
I need this solved using generating functions. Thanks! 2a_{n+2} - 3a_{n+1} - 2a_n = 25 Ã ? 2^n, a_0 = 4, a_1 = -1