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separate the differential equation into variables

xydx + (x+1)dy=0


Who has written the Economic of Welfare?


(P+a/V) (V-b) = RT

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)


What is the work done by gravity when a wooden block of mass 2 kg slides 3 m down a slope inclined at 30°?

A. 3 J

B. 29.43 J

C. 6 J

D. 58.86 J


Write a program to sort a list of integers using Insertion sort, Mergesort and Quicksort. First take as input the size ‘n’ of the array, then read in the ‘n’ input integers that need to be sorted.


Write a program that takes a sentence as input from the user, and prints the frequency of each

 word in the sentence and neglects any punctuations. ‘.’,’,’,’!’ Input: Hello Amna. Amna is a good girl.

Output:

Hello: 1 Amna: 2 is: 1

a: 1 good: 1 girl:1


Write a program to sort a list of integers using Insertion sort, Mergesort and Quicksort. First take as input the size ‘n’ of the array, then read in the ‘n’ input integers that need to be sorted.


A function which takes two input parameters and return the largest

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