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Veseljchak [2.6K]
3 years ago
11

Find the value of x if a triangle measures 65, x, x-5

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
5 0
Heya !

Check the attachment.
Hope it helps you :)

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Simplify the expression.<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B1%5D%7B10%7D" id="TexFormula1" title="\sqrt[1]{10}" alt
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The answer would just be 10 :)
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Problem #15: A box contains 4 black balls, 7 red balls, and 3 green balls. Three balls are
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A figure lies entirely in Quadrant I. The figure is reflected in the xx-axis. In which quadrant is the image?
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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}
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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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What type of decimal is 0.67918
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Read 2 more answers
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