Math Answers

Obtain the Fourier series for the following periodic function which has a period of 2π: f(x)=x for−π≤x≤π

Find the particular solution of the equation

e^2tdy/dx=4

Given that y=5, t=0

Find the particular solution for the following equation y"-y'-12y=te^4t

There are N urns in which M balls are randomly scattered. Find the probability p that the given (for example, the first) urn contains exactly k balls.

The coin is tossed m times. Find the probability p that the head appears at least k times and at most l times

A student takes a test consisting of 20 true-false questions.

a) what is the probability that the student answers at least seven questions correctly?

b) what is the probability that the student answers at most three questions correctly?

c) what is the probability that the student answers at least four and at most six questions correctly

Find the linear and Bernoulli’s differential equations from the following differential equations and solve it.i)(1-x^2)dy/dx-xy=1 ii)dy/dx=xy^2-xy

Translate the given statement into logical expression using the propositions provided. "To use the wireless network in the airport you must pay the daily fee unless you are a subscriber to the service." Express your answer in terms of a: “You can use the wireless network in the airport,” d: “You pay the daily fee,” and s: “You are a subscriber to the service.” *

Determine the equation of the circle with radius 9

9 and center (-1,-8)

(−1,−8).

Find the general solution of the given differential equation.

(x + 1) dy/dx + (x + 2)y = 2xe^−x