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3 years ago

Solve the equation r^3=125

Mathematics

1 answer:

Sloan [31]3 years ago

3 0

Answer: 5

Step-by-step explanation:

r³=125=

r*r*r=125

r=5

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Step-by-step explanation:

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2 years ago

How do you figure out a multiplecation equation

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3 years ago

Find three consecutive even integers if three times the first integer is two times the third

lara31 [8.8K]

Solution:

Let's name the three consecutive numbers as y, y + 2, and y + 4.

Note that:

=> Equation formed: 3(y) = 2(y + 4)

Solve the equation to find the three consecutive numbers.

3(y) = 2(y + 4)
=> 3y = 2y + 8
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2 years ago

In Exercises 3–10, use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the independent varia

sashaice [31]

I'll use subscript notation for brevity, i.e.

$\dfrac{\partial f}{\partial x}=f_x$

$f(x,y,z)=xy+z^2\implies\begin{cases}f_x=y\\f_y=x\\f_z=2z\end{cases}$

$x(r,s)=s^2\implies\begin{cases}x_r=0\\x_s=2s\end{cases}$

$y(r,s)=2rs\implies\begin{cases}y_r=2s\\y_s=2r\end{cases}$

$z(r,s)=r^2\implies\begin{cases}z_r=2r\\z_s=0\end{cases}$

By the chain rule,

$f_r=f_xx_r+f_yy_r+f_zz_r=2xs+4zr=2s^3+4r^3$

$f_s=f_xx_s+f_yy_s+f_zz_s=2ys+2xr=6rs^2$

$x(r,s,t)=r+s-2t\implies\begin{cases}x_r=1\\x_s=1\\x_t=-2\end{cases}$

$y(r,s,t)=3rt\implies\begin{cases}y_r=3t\\y_s=0\\y_t=3r\end{cases}$

$z(r,s,t)=s^2\implies\begin{cases}z_r=0\\z_s=2s\\z_t=0\end{cases}$

By the chain rule,

$f_r=f_xx_r+f_yy_r+f_zz_r=y+3xt=3rt+3r+3s-6t^2$

$f_s=f_xx_s+f_yy_s+f_zz_s=y+4zs=3rt+4s^3$

$f_t=f_xx_t+f_yy_t+f_zz_t=-2y+3xr=3r+3s-12rt$

8 0

2 years ago

Use the tables to find (fog)(5)

padilas [110]

7

Hope this helps

Mark brainliest please

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2 years ago

Read 2 more answers