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Maths Is A Difficult Subject if You Lack Knowledge About Its Understanding. In This Post We Have Compiled Some important BSC Maths Important Question lucknow university
These Important Question Mentioned Here Are Extracted From Previous Year Question Papers And They Help You Learn Important Knowledge about Your Syllabus…
BSC Maths Important Question lucknow university
| Course | BSC (Bachelor of Science) |
| Subject | Maths |
| Content | Important Questions |
| Provide by | Hindijankaripur |
| Official Site | Hindijankaripur.com |
| Telegram | https://t.me/studentcafeindia |
Practical Question
Find the area enclosed by the curves y = x^2 and y = 2x – x^2.
Find the derivative of the function f(x) = e^(sin(x)).
Determine the convergence or divergence of the series Σ (from n=1 to infinity) (-1)^n/n.
Use the method of partial fractions to find the integral ∫(2x+3)/(x^2-x-6) dx.
Solve the second order differential equation d^2y/dx^2 + 3dy/dx + 2y = 0.
Determine the eigenvalues and eigenvectors of the matrix [[1, 2], [3, 4]].
Using the method of undetermined coefficients, find the particular solution to the differential equation y” – 2y’ – 3y = e^x.
Find the limit: lim (x->∞) (x – sinx) / x^3.
Calculate the cross product of two vectors A = [1, 2, 3] and B = [4, 5, 6].
Solve the system of equations x + y + z = 6, 2x – y + 3z = 9, and 3x + 2y – z = 1 using matrix methods.
Show that the function f(x) = x^3 – 3x^2 + 2x + 1 is continuous and differentiable at x = 2.
Determine whether the series Σ (from n=1 to infinity) n / 2^n is convergent or divergent.
Find the integral ∫(sinx / (1 + cos^2x)) dx.
Solve the first order differential equation (dy/dx) + y tanx = secx.
Find the derivative of the function f(x) = ln(1 + 2x).
Evaluate the limit: lim (x->0) (e^x – 1 – x) / x^2.
Find the eigenvalues and eigenvectors of the matrix [[2, 1], [1, 3]].
Using the method of substitution, find the integral ∫(e^(2x) / (1 + e^x)) dx.
Find the area enclosed by the curves y = x^2 – 4x + 4 and y = 2x – 2.
Solve the system of equations 2x – y + z = 2, x + y – z = 1, and x – y + 2z = 3 using matrix methods.
Theory Question
Explain the concept of a vector space and its properties.
What is the Fundamental Theorem of Calculus? Describe its implications.
Discuss the importance and applications of Eigenvalues and Eigenvectors.
Elucidate the concept of complex numbers and their geometrical representation.
Explain the difference between permutations and combinations. Provide examples.
Discuss the concept of mathematical induction and give an example where it is used.
What is the Binomial Theorem? Discuss its importance and provide an example.
Define and discuss the concept of limits in calculus.
Explain the theory and applications of differential equations.
Discuss the principles and applications of probability theory.
Explain the concept of a matrix and its various operations.
What is the Mean Value Theorem? Discuss its significance in calculus.
Discuss the concept and importance of continuity in a function.
Elucidate the concept of a linear transformation and its significance.
Explain the theory and applications of integral calculus.
Discuss the concept of a group in abstract algebra and its properties.
What is the Principle of Inclusion and Exclusion? Provide an example of its application.
Define and discuss the concept of convergence and divergence of a series.
Explain the theory of Laplace transforms and their applications.
Discuss the principles and applications of statistics in real-world scenarios.
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