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Snezhnost [94]
3 years ago
6

What is the equation to solve for pi in Algebra 1?

Mathematics
1 answer:
leonid [27]3 years ago
3 0
Pi is always 3.1415926535897. But in algebra it's always seen as 3.14
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Which decimal is equalient to 24 out 30 days
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write the equation of the line passing through the point (1,4) with a slope of 2? Use x=1,y=2 and m=2 to find b in y=mx+b
melisa1 [442]
I hope this helps you



m=2 x=1 y=4



4=2.1+b


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Shtirlitz [24]

Answer:

x = 4/18

Step-by-step explanation:

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Evaluate the line integral ∫CF⋅dr, where F(x,y,z)=5sinxi+4cosyj−2xzk and C is given by the vector function r(t)=t3i−t2j+t1k , 0≤
pickupchik [31]
\mathbf r(t)=x(t)\,\mathbf i+y(t)\,\mathbf j+z(t)\,\mathbf k
\implies\begin{cases}x(t)=t^3\\y(t)=-t^2\\z(t)=t\end{cases}
\implies\dfrac{\mathrm d\mathbf r}{\mathrm dt}=3t^2\,\mathbf i-2t\,\mathbf j+\mathbf k

with 0\le t\le1. With this parameterization, the vector field can be written as

\mathbf F(x,y,z)=\mathbf F(x(t),y(t),z(t))=5\sin(t^3)\,\mathbf i+4\cos(t^2)\,\mathbf j-2t^4\,\mathbf k

Now the line integral is given by

\displaystyle\int_C\mathbf F\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\mathbf F(x(t),y(t),z(t))\cdot\dfrac{\mathrm d\mathbf r(t)}{\mathrm dt}\,\mathrm dt
=\displaystyle\int_0^1(15t^2\sin(t^3)-8t\cos(t^2)-2t^4)\,\mathrm dt
=-5\cos1-4\sin1+\dfrac{23}5
4 0
3 years ago
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