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viva [34]
3 years ago
7

In 1 1/2 hours john can walk 4 1/2 miles find his average speed in miles per hour.

Mathematics
1 answer:
mezya [45]3 years ago
6 0
John can walk 4 miles per hour
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\langle1,0,8\rangle-\langle0,0,1\rangle=\langle1,0,7\rangle

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\langle1,0,7\rangle\times\langle0,1,8\rangle=\langle-7,-8,1\rangle

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\langle-7,-8,1\rangle\cdot(\langle x,y,z\rangle-\langle0,0,1\rangle)=0

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-7x-8y+z-1=0\implies z=7x+8y+1

Let z=f(x,y). Then the volume of the region above R and below the plane is

\displaystyle\int_0^1\int_0^1(7x+8y+1)\,\mathrm dx\,\mathrm dy=\boxed{\frac{17}2}

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