3 years ago

Which is a rational number? √6 √36/16 √16/6 √36/6

Mathematics

1 answer:

Nutka1998 [239]3 years ago

7 0

Second and fourth are rational number

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What is the slope of this scenario? The bowling alley charges $4 per game and a one time fee of $7 for bowling shoes. *

fredd [130]

Slope: constant rate of change
Since one time = 7, it would stay 7
As it’s $4 per game, the slope is the rate of change. “Per game”

Solution: 4

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3 years ago

Find the area of the surface. the part of the cylinder y^2+z^2=9 that lies above the rectangle with vertices (0,0),(4,0),(0,2),

Mice21 [21]

We can parameterize this part of the cylinder using

$\mathbf s(u,v)=\langleu,3\cos v,3\sin v\rangle$

with $0\le u\le4$ and $\cos^{-1}\dfrac23\le v\le\dfrac\pi2$ . Then the surface element is

$\mathrm d\mathbf S=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=3\,\mathrm du\,\mathrm dv$

so the area is given by the surface integral, where $D$ denotes the part of the cylinder in question,

$\displaystyle\iint_D\mathrm d\mathbf S=3\int_{v=\cos^{-1}(2/3)}^{v=\pi/2}\int_{u=0}^{u=4}\mathrm du\,\mathrm dv=6\pi$

Probably less work would involve a simpler geometric approach, but it doesn't hurt to practice setting up a proper surface integral.

4 0

3 years ago

Find the value of 21.41 + 12.0 . (show the work)

Grace [21]

Answer:33.41

Step-by-step explanation: