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Integration Techniques

Integrate: (1/x+4).dx

26/10/2024

Mathematics

12th (Science)

Differential Equation Solutions

Solve the differential equation dy/dx = (y^2)Sin(x) given that y(0)=1.

26/10/2024

Mathematics

12th (Science)

Vector Algebra – Dot Product

Prove that for vectors “a” and “b” a.b = |a||b|Cos(x)

26/10/2024

Mathematics

12th (Science)

Three-Dimensional Geometry – Line Equation

Find the vector and Cartesian equation of the line passing through two points A(1,2,3) and B(4,5,6).

26/10/2024

Mathematics

12th (Science)

Maxima-Minima Problem Using Calculus

Find the dimensions of a rectangle with maximum area that can be inscribed in a circle of radius 𝑟.

26/10/2024

Mathematics

12th (Science)

Probability – Binomial Theorem Application

If a die is rolled 5 times, find the probability of getting exactly 3 sixes.

26/10/2024

Mathematics

12th (Science)

Determinant Value Calculation

Evaluate the determinant for a 3×3 matrix given specific values.

26/10/2024

Mathematics

12th (Science)

Preparation of potassium dichromate from chromite ore.

Describe the preparation of potassium dichromate from chromite ore.

26/10/2024

Chemistry

12th (Science)

Explain the difference between order and molecularity of a reaction.

Explain the difference between order and molecularity of a reaction.

26/10/2024

Chemistry

12th (Science)

Molar Conductivity

Define the term “molar conductivity.” How does it vary with concentration for a strong electrolyte?

26/10/2024

Chemistry

12th (Science)