2 years ago

Morgansville and newton are 2 miles apart. On map, the two cities are 7 inches apart. What is the map scale

1 answer:

3 0

7 inches per what per mile per foot what

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0.5x100=50 (as a percentage)

50% increase

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Bess [88]

With $x(t)=\cos t$ and $y(t)=\sin t$ , we have

$z(t)=x(t)^2+4y(t)^2+1$

$z(t)=\cos^2t+4\sin^2t+1$

$z(t)=3\sin^2t+2$

Then $z(t)$ has critical points where

$\dfrac{\mathrm dz}{\mathrm dt}=6\sin t\cos t=3\sin2t=0$

$\implies\sin2t=0\implies2t=n\pi\implies t=\dfrac{n\pi}2$

where $n$ is any integer.

$z(t)$ is increasing wherever $\sin2t>0$ , which happens for

$\dfrac{2n\pi}2$

$\boxed{n\pi$

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2 years ago