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Home Question Bank Math Pre Calculus Archive 2024 December 26

Pre-calculus Questions from Dec 26,2024

Browse the Pre-calculus Q&A Archive for Dec 26,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Si la fonction exponentielle a une forme \( f(x) = a^x + k \), comment détermineriez-vous les caractéristiques clés si \( k < 0 \) ? 1. In electricity, the impe circuit is given by the \( \sqrt{R^{2}+\left(\omega L-\frac{1}{\omega C}\right)^{2}} \) a) Make \( C \) the subject of b) Find \( C \) when \( Z=120 \), \( 310 \quad \) and \( L=0.35 \). 3. (20б) Постройте область: \( \left\{\begin{array}{l}1<|z-3-i| \leq 2 \\ \arg z \geq-\frac{\pi}{6}\end{array}\right. \) a) Sketch the curve with equation \[ y=a^{-x}+4 \] where \( a \) is a constant and \( a>1 \) On your sketch show a) Sketch the curve with equation where \( a \) is a constant and \( a>1 \) On your sketch show - the coordinates of the point of intersection of the curve with the \( y \)-axis - the equation of the asymptote to the curve. Sketch the curve with equation \[ y=a^{-x}+4 \] 4. (a) Sketch the curve with equation \[ y=a^{-x}+4 \] 8. Die 18 km lange Abfahitsstrecke vom Rothorn schafft man auf den Skiern normalerweise in 20 Minuten. Leider gibt es zwel Abschnitte von je 900 m Länge, aut denen die Piste so schlecht ist, dass man ohne Ski im Schrittlempo \( (4.5 \mathrm{~km} / \mathrm{h}) \) gehen muss. Wie lange braucht man für die Abfahrt mit dem Snowboard, wenn man im gleichen Tempo fährt, aber noch jedes Mal beim An- und Abschnallen des Brettes eine Minute verliert? If \( f(x)=\frac{\sqrt{x+2}}{3-3 x^{2}} \), for which values of \( x \) is 1.2.2 \( \quad f(x) \) non real. 20. Исследовать функцию и построить ее график: \( y=\frac{x^{3}-3 x}{x^{2}-1} \).
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