3 years ago

A car is travelling to the right with a speed of 42 m/s when the driver slams on the brakes the car skids 4.0 second

Physics

1 answer:

Tcecarenko [31]3 years ago

4 0

Answer:

84m

Explanation:

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Consider f(x) = -4x2 + 24x + 3. Determine whether the function has a maximum or minimum value. Then find the

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Answer:

The function has a maximum in $x=3$

The maximum is:

$f(3) = 39$

Explanation:

Find the first derivative of the function for the inflection point, then equal to zero and solve for x

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$-4*2x + 24=0$

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Now find the second derivative of the function and evaluate at x = 3.

If $f (3) ''< 0$ the function has a maximum

If $f (3) '' >0$ the function has a minimum

$f(x)''= 8$

Note that:

$f(3)''= -8$

the function has a maximum in $x=3$

The maximum is:

$f(3)=-4(3)^2+24(3) + 3\\\\f(3) = 39$

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