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Scrivi $10^{-4}$ in formato decimale

Risolvi a mente l'equazione
$x^2+4x-5=0$

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Trovare un $k$ affinché la seguente equazione abbia una sola soluzione

$x^2 + (k +1)x +1= 0$

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Risolvete la seguente equazione

$\\frac{2x^2+8x-10}{x+5}=0$

Risolvi la seguente equazione

$\\log(x− 2)− \\log(2x− 1) = 0$

Risolvi la seguente equazione

$Log_{10}(x+1) = 2$

Determinare il valore di $P$ che soddisfa la seguente equazione
$2^6+2^6=2^P$

Risolvi la seguene equazione

$\\frac{e^{x^2-3x}}{e^{-x}}=1$

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Trova il valore di $x$

$x+2y=5$

$x-y=2$

Risolvi la disequazione
$x-4>-x+2$

Risolvi la disequazione
$x^2+3x-5<2x-3$

Quanto fa $\\sin\\theta+\\cos(\\frac{\\pi}{2}-\\theta)$, quando $θ=\\frac{\\pi}{6}$?

Calcola il seno ed il coseno degli angoli di un triangolo rettangolo i cui lati hanno lunghezza 3, 4, e 5.

Determinate il valore di $x$

$\\cos\\left(x\\pi+\\frac{\\pi}{6}\\right)=\\frac{\\sqrt{2}}{2}$

Determinate $x$ affinchè l'angolo $\\alpha$ sia un angolo piatto

$\\alpha=\\frac{x\\pi}{8}$

Scrivete l'equazione della retta che intercetta gli assi nei punti (0,4) e (-2,0) nella forma $y=mx+b$

Deterimate la distanza $d$ tra i due punti $P=(1,2)$ e $Q=(4,-2)$

Scrivi l'equazione canonica del cerchio che ha centro in $(0,1)$ e raggio $r=2$

Determinate quanti punti di intersezione hanno la retta $y=3-2x$ e l'iperbole $3x^2-y^2=1$

Determinate il coefficiente $m$ affinchè queste due rette siano parallele

$y+x-2=0$
$my-x+1=0$

Determinate la lunghezza del vettore $\\vec{v}=(-3,4)$

Esprimete per componenti la somma vettoriale tra un vettore di lunghezza 1 che giace sull'asse orizzontale nel verso positivo ed un vettore di lunghezza $\\sqrt{18}$ che forma un'angolo di $45^{\\circ}$ rispetto al primo e giace sul primo quadrante.

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Determinare la componente $x$ di $\\vec{v_2}$ in modo che $\\vec{v_1}$ e $\\vec{v_2}$ siano perpendicolari

$\\vec{v_1}=(1,-2)$

$\\vec{v_2}=(x,1)$

Determia il dominio della funzione
$y=log(2x-12)$

Calcolate il valore del seguente limite

$\\underset{x\\rightarrow -5}{\\lim}\\frac{x^2+3x-10}{x+5}$

Calcolate il rapporto incrementale della funzione $f(x)=x^3-2$ nell’intervallo $[0,2]$

Calcola la derivata della funzione $f(x)=x^2+\\sin(x)$

Scrivete la primitiva della funzione

$3x^2-1$

Calcola questo integrale definito
$I=\\int_{-1}^{1} x^4-2x^2 dx$

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