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Home » Soit \( x \) le score nécessaire au quatrième examen. - Dyverse

Soit \( x \) le score nécessaire au quatrième examen. - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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r = \frac{A}{s} = \frac{60}{20} = 3 \text{ cm}
Thus, the radius of the inscribed circle is \(\boxed{3}\) cm.**Questio...
To solve \(\tan 45^\circ + \tan 30^\circ\), we first find the values o...
We know:
\tan 45^\circ = 1
For \(\tan 30^\circ\), we use the identity for the tangent of 30 degre...
\tan 30^\circ = \frac{1}{\sqrt{3}}
Adding these values together, we have:
\tan 45^\circ + \tan 30^\circ = 1 + \frac{1}{\sqrt{3}}
To express this in a single fraction, find a common denominator:

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Now substitute $ u = x^2 - 2 $ into $ f $:
f(x^2 - 2) = (x^2 - 2)^2 - 1 = x^4 - 4x^2 + 4 - 1 = x^4 - 4x^2 + 3.
\boxed{x^4 - 4x^2 + 3}
Question: Compute $ \sum_{n=1}^{50} \frac{1}{n(n+2)} $.
Solution: We begin by simplifying the general term using partial fract...
\frac{1}{n(n+2)} = \frac{A}{n} + \frac{B}{n+2}.
Multiplying both sides by $ n(n+2) $:
= A(n+2) + Bn.
= An + 2A + Bn = (A + B)n + 2A.
A + B = 0, \quad 2A = 1 \Rightarrow A = \frac{1}{2}, \quad B = -\frac{...

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