Math Answers

separate the differential equation into variables

xydx + (x+1)dy=0

Solve the following LP problem by graphical method: Maximise Z = 300X1 + 700X2

Subject to the constraints: X1 + 4X2 ≤ 20 2X1 + X2 ≤ 30 X1 + X2 ≤ 8 And X1, X2 ≥ 0

firm manufactures two products; the net profit on product 1 is Birr 3 per unit and Birr 5

per unit on product 2. The manufacturing process is such that each product has to be

processed in two departments D1 and D2. Each unit of product1 requires processing for 1

minute at D1 and 3 minutes at D2; each unit of product 2 requires processing for 2 minutes

at D1 and 2 minutes at D2. Machine time available per day is 860 minutes at D1 and 1200

minutes at D2. How much of product 1 and 2 should be produced every day so that total

profit is maximum. (solve with graphical method)

Calculate the approximate value of 10 to four decimal places by taking the first four

terms of an appropriate Taylor’s series.

A pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make the mathematical mod

The Power set P(S) of the set S = { Φ, { 1,2, 3 } , 3 , {{1,2}} } is?

Solve the Non-exact Equation

v(u2+v2)du - u(u2+2v2)dv

A train left town a for town b at a speed of 36km/,h. Another train left town b for town a at a speed of 64km/hr. If the two towns were 900km apart, when did the two trains meet

Joshua conducted an opinion poll among voters to determine if they approved the plan of biometrics there 365 who said they approved the plan. If there were 528 in the sample. What is p? and what is q?

In a survey of 120 grade 5 pupils, 50 do not like to watch Pinocchio. Find p and q where p was the proportion of children who like to watch the film.