Math Answers

determine the general/particular solution for each equation using the applicable solution to equations of order one (separable, homogenous,linear,exact)

1. (1+y^2)dx + (1=x^2)dy = 0 ; when x = 0, y = 1

On the average, six people per hour use a self services banking fasility during the prime shopping hours in a department store. Assuming the arrival of customers is random and independent; What is the probability that fewer than 5 people will use the facility during a randomly selected hour?

On the average, six people per hour use a self services banking fasility during the prime shopping hours in a department store. Assuming the arrival of customers is random and independent; What is the probability that fewer than 5 people will use the facility during a randomly selected hour?

complete solutions

(3.33<-145°)*(6.79<97°)

(5e^5.6i)/(9.75e^-0.37i)

On the average, six people per hour use a self services banking fasility during the prime shopping hours in a department store. Assuming the arrival of customers is random and independent; What is the probability that fewer than 5 people will use the facility during a randomly selected hour?

Let (X,d) be a metric space and consider the subset A ⊂ X and B ⊂ X . Show that the closure satisfies the following property closure( A ∪ B) =closure(A) ∪ closure(B)

Sketch the graph of the following function in one rectangular coordinate plane. Compare the behavior of each of the following graphs to the graph of y = sin x in terms of period, amplitude, and phase shift.

y=2sin x-4

y=sin 2x+3π2

y=sin 2x+2

Solve:

(𝑥 − 2𝑠𝑖𝑛𝑦 + 3)𝑑𝑥 + (2𝑥 − 4𝑠𝑖𝑛𝑦 − 3)𝑐𝑜𝑠𝑦𝑑𝑦 = 0

(1 + 𝑥^2) (xdy+ydx) =-2yx^2

𝑦′ − 𝑦 = 𝑒2𝑥𝑦3