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3 years ago

To have the same volume, figures must have the same: (select all that apply)

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

4 0

Answer:

Height and Base Area

Step-by-step explanation:

If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume

- Cavaleri's Principle

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Solve the initial value problem yy′+x=x2+y2‾‾‾‾‾‾‾√ with y(1)=8‾√. To solve this, we should use the substitution u= x^2+y^2 help

leva [86]

Looks like the equation is

$yy'+x=\sqrt{x^2+y^2}$

Substitute $u(x)=x^2+y(x)^2$ , so that $u'=2x+2yy'$ . Then the equation is the same as

$\dfrac{u'-2x}2+x=\sqrt u\implies u'=2\sqrt u\implies\dfrac{\mathrm du}{2\sqrt u}=\mathrm dx$

Integrate both sides to get

$\sqrt u=C\implies\sqrt{x^2+y^2}=C$

Given that $y(1)=\sqrt8$ , we have

$\sqrt{1^2+(\sqrt8)^2}=C\implies C=3$

so the solution is

$\sqrt{x^2+y^2}=3$

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3 years ago

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3 years ago

Se desean plantar 361 plantas de limón, en un terreno cuadrado, de manera que en cada fila queden a un metro de distancia.

Mila [183]

Respuesta:

Explicación paso a paso:

Si se van a plantar 361 limoneros en un campo cuadrado;

Entonces, el número de plantas en cada fila debe ser el mismo por columna;

Sea el número de plantas por hilera = x

Número total de plantas = x²

361 = x²

Saca la raíz cuadrada de ambos lados

√361 = √x²

19 = x

Número de plantas por hilera = 19

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3 years ago

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Mama L [17]

Answer:

Step-by-step explanation:

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