Monthly Archives: December 2025

Fermat Contest 2022 Problem 17 on Cylinder

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Fermat contest 2022 Problem 19 on area of the triangle

In the diagram PQR is right angled at R, PR =12, QR =1 6. Also M is the midpoint of PQ and N is the point on QR so that MN is perpendicular to PQ. Find the area of triangle … Continue reading

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Fermat Contest 2022 Problem 22 on Tilting of Rectangle

A rectangle with dimensions 100 cm by 150 cm is tilted so that one corner is 20 cm above a horizontal line as shown. To the nearest centimeters, the height of vertex A above the horizontal line is 100+x cm. … Continue reading

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Differential Equations Variable Separable Practice

Variable separable is one of the basic differential equation. Here are some example for practice Continue reading

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Modeling Differential Equations

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AP Calculus BC Euler’s Method (2 step)

Consider the differential equation with initial condition . Find the difference between the exact value of and the Euler approximation of using two equal steps.

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IB Proof Question on even odd function

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IB drawing graph of division of two functions

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IB question on reciprocal graph

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Geometry Fundamentals Problem 1

An isosceles triangle with 3 sides being equal and a perpendicular is drawn to one of the side as shown in the above fig. Show that

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