BECC-104 English Medium Solved Assignments 2025-26

Description

BECC-104 English Medium Solved Assignments 2025-26 Available

Assignment A

Answer the following Long Category questions in about 500 words each. Each question carries 20 marks. Word limit will not apply in the case of numerical questions.

1. Consider the following two matrices

A = C * [[- 1, 1, 2], [1, – 1, – 2], [- 2, 2, 4]]

1 = – [[1, 0, – 1], [- 1, 1, 1], [1, – 1, – 1]]

(1) Find the rank of ‘A’ and ‘B’

(u) Show that (AB) ^ – 1 = B ^ – 1 * A ^ – 1

(iii) Show that (A ^ – 1) ^ 3 = A

(iv) Show that (B ^ – 4) ^ – 1 = B

2. An individual consumer consumes two commodities X₁ & X2. The utility function is U = X_{1} ^ 0.4 * X_{2} ^ 6

The price of commodity one is P_{1} = Ra * 0.3 * 0 the price of commodity two is P_{2} = Rs * 0.4 * 0 the individual’s income per period is Rs.108. Determine the utility maximizing level of X & X, and derive the demand curves for the two commodities.

Assignment B

Answer the following Middle Category questions in about 250 words ench. Each question carries 10 marks. Word limit will not apply in the case of numerical questions.

3. Let z = f(x, y) = 3x ^ 3 – 5y ^ 2 – 225x + 70y + 23

(0 Find the stationary points of 2.

(ii) Determine if at these points the function is at a relative maximum, relative minimum, infixion point, or saddle point.

4. Solve the following differential equation

(d ^ 2 * y)/(d * x ^ 2) – 2 * d/dx (y) + 10y = 0

given Y(0) = 4

d/dx (y) * (0) = 1

5. z = f(x, y) = xy

Find the maximum value for f(x, y) if x and y are constrained to sum to 1 (That is, + y = 1 ) Solve the problem in two ways: by substitution and by using the Lagrangian method.

Assignment C

Answer the following Short Category questions in about 100 words each

5 * 6 = 30

6. Define

Adjugate of a matrix

Decomposable matrix

c. Singular matrix

7. Evaltante integrate (7x – 2) * sqrt(3x + 2) dx