State inclusion-exclusion principle. In a group of 50 people, 35 speak Hindi, 25 speak both English

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ANSWER ALL QUESTIONS

Assignment_DCA1103_Basic

Mathematics_Set 1 & 2_March 2023

Answers for 10 marks questions snouia de approximately of 400-500 words.

Q. No

SET-I

Questions

1.

State inclusion-exclusion principle. In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak at least one of the two languages. How many people speak only English and not Hindi ? How many people speak English?

Simplify z =

2.

3.

 ̧ (cos 0 + isinė)3 into x+iy form and find its (cos 0 - isin0)+

modulus and the amplitude.

a. Solve:

II/2

sin 2x dx.

0

b. Solve the differential equation(2x −y + 1)dx + (2y - x - 1)dy = 0.

SET-II

a. By using truth tables, check whether the propositions ~(p^q) and (~p) V (~q) are logically equivalent or not?

 

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