2 years ago

1. The symbols 0, 1, 2, and so on are called:

Mathematics

1 answer:

stich3 [128]2 years ago

8 0

Answer:

Step-by-step explanation:

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The fuel economy of a car, measured in miles per gallon, is modeled by the function ƒ(s) = –0.009s2 + 0.699s + 12 where s repres

Kisachek [45]

Answer:

The maximum fuel economy of the car is 25.57225

Step-by-step explanation:

we are given

$f(s)=-0.009s^2+0.699s+12$

where

where s represents the average speed of the car, measured in miles per hour

So, we have to maximize f(s)

So, firstly we will find derivative

$f'(s)=-0.009*2s+0.699*1+0$

$f'(s)=-0.018s+0.699$

now, we can set it to 0

and then we can solve for s

$f'(s)=-0.018s+0.699=0$

$s=\frac{233}{6}$

To find maximum fuel economy , we can plug s into f(s)

$f(\frac{233}{6})=-0.009(\frac{233}{6})^2+0.699(\frac{233}{6})+12$

$f(\frac{233}{6})=25.57225$

So,

The maximum fuel economy of the car is 25.57225

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