Theory Based Question

How are the types of numbers and their coefficients studied?

How are fractions used to solve equations?

How are simple collision equations solved?

How are deterministic equations solved?

What are fractions of polynomials and types? How are they used?

What are chaos and yogita? What is the difference between them?

What is a trigonometric function? Explain sine, cosine, and tangent.

What is the probability? How can the probability of any number be obtained?

What is local correspondence of numbers? Why are they used?

What is graphing? What is the difference between parallel and parallel lines?

What is the probability? How is the probability of a number calculated?

What is discretization in equations? How is it used?

How is a valid equation with any two unknowns used to solve simple equations?

What are parallelograms and parallelograms? What is their importance?

What are the coefficients? And how are they used?

What are transformations and antonyms? How are they used?

What are coordinates and their types?

What is perimeter? And how is it used?

What are the longitudes of circles? And how are they used?

How are quadratic equations solved?

Maths Practical Question

Calculate the derivative of f(x) = 3x^2 + 2x – 5.

Find the integral of g(x) = 4x^3 + 2x^2 – 3x + 7.

Solve the equation 2x + 5 = 15 for x.

Determine the domain of the function h(x) = sqrt(4x – 7).

Find the vertex of the quadratic function y = 2x^2 – 4x + 3.

Calculate the limit lim(x->3) (2x^2 – 5x + 1).

Solve the system of equations: 2x + y = 10 3x – 2y = 4

Find the equation of the line parallel to y = 3x + 2 passing through the point (1, -4).

Evaluate the determinant of the matrix: | 3 2 | | 5 -1 |

Calculate the cross product of vectors u = <2, -3, 1> and v = <4, 1, -2>.

Find the angle between the vectors u = <1, 2, 3> and v = <-1, 4, -2>.

Determine the distance between the points (1, 2, 3) and (-2, 5, -1).

Solve the equation cos(x) = 0.5 for x in the interval [0, 2π].

Find the standard deviation of the data set: {3, 5, 7, 9, 11}.

Calculate the probability of rolling a sum of 7 with two fair six-sided dice.

Determine the area bounded by the curves y = x^2 and y = 2x – 1.

Find the centroid of the region bounded by the curves y = x^2 and y = 4x.

Solve the differential equation dy/dx = 2x – 3.

Determine the Taylor series expansion of f(x) = sin(x) centered at x = π/4.

A car travels at a constant speed of 60 miles per hour. How far will it travel in 2.5 hours?