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3 years ago

How to solve 3.5x = 14.7

Mathematics

2 answers:

Anna [14]3 years ago

6 0

Answer:

×=4.2

Step-by-step explanation:

3.5x=14.7

÷3.5 ÷3.5

x=4.2

Natalija [7]3 years ago

4 0

Answer:

4.2

Step-by-step explanation:

divide 14.7 by 3.5

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$z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}$

We're given that $f_x(6,1)=3$ and $f_y(6,1)=-1$ , and want to find $\frac{\partial z}{\partial v}(1,2)$ .

By the chain rule, we have

$\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}$

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$\dfrac{\partial x}{\partial v}=2v$

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Then

$\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)$

(because the point $(x,y)=(6,1)$ corresponds to $(u,v)=(1,2)$ )

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3 years ago

How to solve 3.5x = 14.7​

How to solve 3.5x = 14.7