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Category Archives: Math

Math

Permutations ~ Crocodile Problem

March 1, 2026 Manish Verma Leave a comment

A crocodile is known to have not more than 68 teeth. Find the total number of crocodiles with different set of teeth ignoring any variations in teeth themselves.

There are 68 slots and in each slot the tooth can either be present or absent. So, there are 2 ways for each slot. 2 is multiplied 68 times giving answer as 268.

Permutations
Math

${\scriptscriptstyle 6 + f(x) = 2f( – x) + 3{x^2}\int\limits_{ – 1}^1 {f(t)dt}}$

July 10, 2024 Manish Verma Leave a comment

FunctionsIntegrationProjectile Motion
Math

$\scriptstyle f(x) = {\left( {\frac{x}{\pi }} \right)^x} + {\left( {\frac{\pi }{x}} \right)^x}$

November 29, 2023 Manish Verma Leave a comment

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Integration
Math

$\scriptstyle \sqrt {7 – \sqrt {7 + \sqrt {7 – \sqrt {7 + …..} } } }$

November 22, 2023 Manish Verma Leave a comment

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Algebra
Math

$\scriptstyle f(x) = \int\limits_0^x {{\pi ^t}(t – e)(t – \pi )dt} $

November 21, 2023 Manish Verma Leave a comment

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Monotonicity
Math

$\scriptstyle 7f(x) + 5f\left( {\frac{1}{x}} \right) = x + 1$ …

November 20, 2023 Manish Verma Leave a comment

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Differentiation
Math

$\scriptscriptstyle {x^5}({x^3} – {x^2} – x + 1) + x(3{x^3} – 4{x^2} – 2x + 4) – 1 = 0$

November 19, 2023 Manish Verma Leave a comment

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Equation

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