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3 years ago

How would I figure out this answernumber 137, please help!!! due tomorrow

Mathematics

1 answer:

kaheart [24]3 years ago

5 0

Who puts pencils in shoe boxes

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F=e−yi−xe−yj is conservative. find a scalar potential f and evaluate the line integral over any smooth path c connecting a(0,0)

Alexxx [7]

If $\mathbf F$ is conservative, then there is a scalar function $f$ such that

$\nabla f(x,y)=\mathbf F(x,y)\iff\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j=e^{-y}\,\mathbf i-xe^{-y}\,\mathbf j$

Setting the first components equal to one another, we can integrate both sides to find

$\dfrac{\partial f}{\partial x}=e^{-y}\implies f(x,y)=xe^{-y}+g(y)$

Differentiating both sides with respect to $y$ gives

$\dfrac{\partial f}{\partial y}=-xe^{-y}+\dfrac{\mathrm dg}{\mathrm dy}=-xe^{-y}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0$
$\implies g(y)=C$

so that

$f(x,y)=xe^{-y}+C$

By the fundamental theorem of calculus, we have that

$\displaystyle\int_{\mathcal C}\mathbf F\cdot\mathrm d\mathbf r=\int_{\mathcal C}\nabla f\cdot\mathrm d\mathbf r=f(1,1)-f(0,0)=\frac1e$

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3 years ago

How much more is needed to make $10.00 4 dollars, 12 dimes, and 10 pennies

amid [387]

Answer:

4 dollars

7 dimes or $4.70.

Step-by-step explanation:

The 4 dollars, 12 dimes, and 10 pennies added up together is $5.30. You will subtract that from $10.00 and you will get $4.70. That will be 4 dollars and 7 dimes left that is needed, or $4.70.

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3 years ago

Determine whether the relation is a function.<br><br> {(5, 0), (8, 1), (1, 3), (5, 2), (3, 8)}

mariarad [96]

It is a function because all of the inputs have exactly one output.

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4 years ago

PLEASE ANSWER THESE 4 QUESTIONS WILL MARK BRANLIEST I AM TIMED :)

Veronika [31]

Answer:

its 3.

Step-by-step explanation:

HOpe that helped

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3 years ago

Every row consists of 2,3 and 2 seats each. If there are 51 horizontal rows, and 13 seats are empty. How many passengers are on

monitta

Answer:

344

Step-by-step explanation:

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3 years ago