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Temka [501]
3 years ago
6

Guys, I need your help! Please solve the question (with showing the equation if possible)

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0
It’s 120 because 10 times 3 times 4 = 120
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A wildfire burned a large area of a forest. A ranger reported the approximate amount of forest burned.
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3 years ago
Suppose \nabla f (x,y) = 3 y \sin(xy) \vec{i} + 3 x \sin(xy)\vec{j}, \vec{f} = \nabla f(x,y), and c is the segment of the parabo
Anna11 [10]

I'll assume you're supposed to compute the line integral of \nabla f over the given path C. By the fundamental theorem of calculus,

\displaystyle\int_C\nabla f(x,y)\cdot\mathrm d\vec r=f(4,48)-f(1,3)

so evaluating the integral is as simple as evaluting f at the endpoints of C. But first we need to determine f given its gradient.

We have

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Differentiating with respect to y gives

\dfrac{\partial f}{\partial y}=3x\sin(xy)=3x\sin(xy)+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C

and we end up with

f(x,y)=-3\cos(xy)+C

for some constant C. Then the value of the line integral is -3\cos192+3\cos3.

8 0
4 years ago
3. Solve for x.<br> (2 + 5x)"<br> (4x + 7)"<br> whats x?
erma4kov [3.2K]
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Which represents two rays that intersect at a common endpoint
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An angle is the intersection of two noncollinear rays at a common endpoint. The rays are called sides and the common endpoint is called the vertex.

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