Calculateur de variations directes, inverses et conjointes

La calculatrice trouvera la constante de variation et d'autres valeurs pour les problèmes de variation directe, inverse (indirecte), conjointe et combinée, avec les étapes indiquées.

varies

as the power of of

Write here the 'find

$\displaystyle{\large{{k}}}$ ' condition. For example, write x=3, y=5, z=15, if you are given "z=15, when x=3, y=5".

Write here the 'find variable' condition. For example, write y=2, z=10, if you are given "find x, when y=2, z=10".

If you don't need to find a variable, leave this field empty.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Solution

Your input: find the constant of variation $k$ given $z=k \frac{x^{2}}{y}$ , $z=7$ when $x=5$ and $y=3$ and find $y$ when $z=12$ and $x=1$ .

We have that $z=k \frac{x^{2}}{y}$ .

Plug in the given values to find $k$ : $7=k \cdot \frac{5^{2}}{3^{1}}$ .

Solving this equation, we obtain that $k=\frac{21}{25}$ .

Now find $\mathtt{\text{y}}$ .

Plug in the given values and found $k$ to find $y$ : $12=\frac{21 \frac{1^{2}}{y^{1}}}{25}$ .

From this equation, we have that $y=\frac{7}{100}$ .

Answer: the constant of variation is $k=\frac{21}{25}$ , $y=\frac{7}{100}$ .

Calculateur de variations directes, inverses et conjointes

Calculer les variations directes, inverses et conjointes étape par étape

Solution