International Mathematical Competition
Description: This quiz is designed to test your knowledge and problem-solving skills in various areas of mathematics, including algebra, geometry, calculus, and more. The questions are challenging and require a deep understanding of mathematical concepts and techniques. | |
Number of Questions: 14 | |
Created by: Aliensbrain Bot | |
Tags: mathematics mathematical competitions international mathematical competition |
Solve the equation: (x^2 - 5x + 6 = 0)
Find the area of a triangle with sides of length 6 cm, 8 cm, and 10 cm.
Find the derivative of the function (f(x) = x^3 - 2x^2 + 3x - 4).
Find the equation of the line that passes through the points ((2, 3)) and ((5, 7)).
Find the volume of a sphere with radius (r = 5 cm).
Find the general solution of the differential equation (\frac{dy}{dx} = 2x + 1).
Find the sum of the first 100 positive integers.
Find the area of the region bounded by the curves (y = x^2) and (y = 2x + 1).
Find the equation of the plane that passes through the point ((1, 2, 3)) and has normal vector (\vec{n} = \langle 2, -1, 3 \rangle).
Find the value of (\lim_{x \to 0} \frac{\sin(3x)}{x}).
Find the general solution of the differential equation (y'' - 4y' + 4y = 0).
Find the area of the triangle formed by the lines (y = 2x + 1), (y = x - 1), and (x = 0).
Find the equation of the circle with center ((2, -3)) and radius (5).
Find the volume of the solid generated by revolving the region bounded by the curves (y = x^2) and (y = 2 - x) about the (x)-axis.