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Svetradugi [14.3K]
3 years ago
7

What is tha greatest commmon factor off 40/60​

Mathematics
1 answer:
Gala2k [10]3 years ago
3 0

\frac{40}{2}  \:  \frac{60}{2}

divide it by 2 if its ok to divide if not no need to divide if there not combine to similar terms

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Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v
k0ka [10]

I'll use subscript notation for brevity, i.e. \frac{\partial f}{\partial x}=f_x.

By the chain rule,

z_u=z_xx_u+z_yy_u

z_v=z_xx_v+z_yy_v

z_w=z_xx_w+z_yy_w

We have

z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}

and

\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}

When u=1,v=1,w=0, we have

\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}

and the partial derivatives take on values of

\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}

So we end up with

\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}

3 0
3 years ago
I have a piece of ribbon that is 12 3/5 inches long. If i cut 2/3 -inch sections, how many pieces can i get?
borishaifa [10]
You will have 19 pieces of ribbon
8 0
3 years ago
Triangle ABC ~ Triangle DEF. Find the length of median FQ. Show how to solve. 25 points
Delvig [45]

Step-by-step explanation:

How to find the sides of a right triangle

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

7 0
3 years ago
I need help<br> Please help
MatroZZZ [7]

Answer:

x = 73 degrees

Step-by-step explanation:

Vertical angles are equal to each other so which means the answer for this question is x = 73 degrees.

8 0
3 years ago
X (5x+10) - 2 (5x+10) = 0
sladkih [1.3K]

Answer:

x(5x+10)-2(5x+10)=0

x(5x+10)=2(5x+10)

x=2

6 0
3 years ago
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