IGNOU BEY 19 SOLVED ASSIGNMENT

BEY 19: Real Analysis and Discrete Mathematics

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Title Name	IGNOU BEY 19 SOLVED ASSIGNMENT
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	BACHELOR DEGREE PROGRAMMES
Course Code	BSCAEY
Course Name	Bachelor of Science (Applied Science-Energy)
Subject Code	BEY 19
Subject Name	Real Analysis and Discrete Mathematics
Year	2025
Session	-
Language	English Medium
Assignment Code	BEY 19/Assignment-1/2025
Product Description	Assignment of BSCAEY (Bachelor of Science (Applied Science-Energy)) 2025. Latest BEY 019 2025 Solved Assignment Solutions
Last Date of IGNOU Assignment Submission	Last Date of Submission of IGNOU BEGC-131 (BAG) 2025-26 Assignment is for January 2026 Session: 30th September, 2026 (for December 2025 Term End Exam). Semester Wise January 2025 Session: 30th March, 2026 (for June 2026 Term End Exam). July 2025 Session: 30th September, 2025 (for December 2025 Term End Exam).
Format	Ready-to-Print PDF (.soft copy)

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BEY 19 2025 - English

Assignment -2

(To be done after studying the course material)

Course Code: BEY-019

Course Title: Real Analysis and Discrete Mathematics

Assignment Code: BEY-019/TMA/2025

Maximum Marks: 100

Last Date of Submission: May 31, 2025(For June TEE), September 30, 2025 (For December TEE)

Note:

1. For any question worth 5 marks the word limit is 200 words, for a 10 mark question it is 350 words.

2. All questions are compulsory. All questions carry equal marks.

Q.1 State whether the following statement are True or False and also give the reason in support of your answer.

a) Collection of intelligent students of IGNOU forms a set.

b) Following rule is a function from A to B

Image ignouassignments-ignouacademy-com-ignou-bey-19-solved-assignment-html-p-ignou-46508

c) $frac{d}{dx}(9-7x)^5=45(9-7x)^4$

d) The negation of the following statement p is-p.

p: Longest chord of a circle is diameter -p: Diameter is the shortest chord of circle

e) Any term of an AP(except the first and last) is equal to half the sum of terms which are equidistant from it on both sides

Q.2 If the universal set is U = {1,2,3,4,5,6,7,9,10) and A= {2,3,6,7}, B= {4,6,8,9}, C= {6,7,8} are the subsets of U, then verify

a) De-Morgan's Laws

b) Left distributive law

Q.3 Evaluate the following:

a) $int x^2 e^{2x},dx$

b) $frac{dy}{dx}, ext{where}:y=(4x+5)^7(9x+4)^5$

Q.4 a) If x,y,z be respectively the p^th, q^th and r^th term of G.P., then evaluate

(q-r) logx + (r-p) logy + (p-q) logz

b) The numbers a,b and c are between 2 and 18, such that, (i) their sum is 25, (ii) the number 2, a and b are consecutive terms of an A.P. and (iii) the number b,c and 18 are consecutive terms of a G.P. Find the values of a,b,c.

Q.5 a) For the statement p and q, consider the following compound statements:

$extbf{A.}quad{ eg qland(p ightarrow q)} ightarrow eg p$

B. {(pvq)^-p} → q

Then which of the following statement is correct:

(i) A is a tautology but not B

(ii) A and B both are not tautologies

(iii) A and B both are tautologies

(iv) B is a tautology but not A

b) Which of the following Boolean expression is a tautology?

(i) (p^q) v (pvq)

(ii) (p^q) v (p→q)

(iii) (p^q) ^ (p→q)

(iv) (p^q) → (p→q)

Q.6 Solve the following discrete difference equations:

a) $Y_{t+2}+12Y_{t+1}+30Y_t=2+3t^2$

b) $Y_{t+2}+15Y_{t+1}+5Y_t=1+6t+13t^2$

Q.7 a) Evaluate $limlimits_{x ofrac{pi}{6}}frac{sqrt{3}sin x-cos x}{x=frac{pi}{6}}$

b) Evaluate $limlimits_{x o 0}frac{sqrt{1+x^3}-sqrt{1-x^3}}{x^2}$

Q.8 Differentiate the following functions:

a) y=sin³ x cos³x

b) $y=frac{1}{ax^2+bx+c}$

Q.9 Evaluate the following:

a) $intfrac{sqrt{x}}{sqrt{x}+2},dx$

b) $intfrac{ an(log x)}{x},dx$

Q.10 Show that

a) $int_{0}^{frac{pi}{2}}frac{cos x}{1+cos x+sin x},dx=frac{pi}{4}-frac{1}{2}log 2$

b) Evaluate $int_{frac{pi}{6}}^{frac{pi}{3}}frac{1}{1+ an x},dx$

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Course Name	Bachelor of Science (Applied Science-Energy)
Course Code	BSCAEY
Programm	Courses
Language	English

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