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brilliants [131]
3 years ago
5

Help me plz, explain it

Mathematics
2 answers:
Darya [45]3 years ago
6 0

The perimeter of a rectangle is found by multiplying the length by 2 and the width by 2 and adding them together.

P = 2L + 2W

Filling in the information given we can find the width:

16.8 = 2(3.6) + 2W

16.8 = 7.2 + 2W

2w = 16.8 - 7.2

2w = 9.6

w = 9.6 / 2

w = 4.8 in.

denis-greek [22]3 years ago
6 0
A rectangle has 2 equal lengths and 2 equal widths. If one length is 3.6 then multiply by 2 = 7.2
So then 16.8 - 7.2 = 9.6
Then divide 9.6 by 2 = 4.8
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270∙7÷9−360÷(20÷5)+(42∙6÷7+14)
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170

Step-by-step explanation:

6 0
3 years ago
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Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xe^y + ye^z +
LUCKY_DIMON [66]

Answer:

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}

Step-by-step explanation:

We need to find the directional derivative of the function at the given point in the direction of the vector v.

f(x, y, z)=xe^{y} + ye^{z} + ze^{x} ,point (0, 0, 0) and v=

 

By Theorem: If f is a differentiable function of x , y and z , then f has a directional derivative for any unit vector \overrightarrow{v} = and

D_{\overrightarrow{u}}f(x,y,z)=f_{x}(x,y,z)u_1+f_{y}(x,y,z)u_2+f_{z}(x,y,z)u_3

where \overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}

since,  v=

then \overrightarrow{u}=\frac{\overrightarrow{v}}{||v||}

\overrightarrow{u}=< \frac{6}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}},\frac{-3}{\sqrt{6^{2}+3^{2}+(-3)^{2}}} >

\overrightarrow{u}=< \frac{6}{\sqrt{54}},\frac{3}{\sqrt{54}},\frac{-3}{\sqrt{54}} >

The partial derivatives are

f_{x}(x,y,z)=e^{y}+ze^{x}  

f_{y}(x,y,z)=xe^{y}+e^{z}

f_{z}(x,y,z)=ye^{z}+e^{x}

Then the directional derivative is

D_{\vec{u}}f(x,y,z)=(e^{y}+ze^{x})(\frac{6}{\sqrt{54}})+(xe^{y}+e^{z})(\frac{3}{\sqrt{54}})+(ye^{z}+e^{x})(\frac{-3}{\sqrt{54}})

so, directional derivative at point (0,0,0)

D_{\vec{u}}f(0,0,0)=(e^{0}+0e^{0})(\frac{6}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{3}{\sqrt{54}})+(0e^{0}+e^{0})(\frac{-3}{\sqrt{54}})

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}+\frac{3}{\sqrt{54}}+\frac{-3}{\sqrt{54}}

D_{\vec{u}}f(0,0,0)=\frac{6+3-3}{\sqrt{54}}

D_{\vec{u}}f(0,0,0)=\frac{6}{\sqrt{54}}

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4 years ago
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Answer:

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