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A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in

nordsb [41]

Answer:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

$h(t) = -6.3t^2 +53 t+24$

In order to maximize this function we need to take the first derivate respect the time and we have:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

8 0

3 years ago

Help with this math homework

iren [92.7K]

Ranking in order from best to worst : Point, line, plane.

Step-by-step explanation:

12.A point in geometry is a location with no size and is shown by a dot. A point is the most fundamental object in geometry that represents a position.

A line can be defined as a connected set made up of infinitely many points.A line has one dimension and extends in infinitely in different directions.It has zero width and zero height.

A plane is an infinite set of points forming a connected flat surface that extends infinitely far in all directions. In a plane, the width, length and height are infinite.

13.

Points S and V are collinear points.

Points R, and U are collinear points

Points Q and T are collinear points

The figure has no plane indicated

Learn More

Point, line and plane : brainly.com/question/13148935

Keywords : line, plane, point, best worst, conclusion

#LearnwithBrainly

3 0

3 years ago

Sixty three thousandths in standard form

Hunter-Best [27]

Answer:

sounds like .063 to me

3 0

3 years ago

10(5 - n) - 1 = 29 n = ? Help!

nydimaria [60]

n = 2

distribute and simplify left side of equation

50 - 10n - 1 = 29

49 - 10n = 29 ( subtract 49 from both sides )

- 10n = 29 - 49 = - 20

n = $\frac{-20}{-10}$ = 2

5 0

4 years ago

Read 2 more answers

Evaluate: f(x) = x^2 + x a. f(-4) = b. f(-1) = c. f(7) =

Bezzdna [24]

Answer:

okay but i dont see the question

Step-by-step explanation:

6 0

3 years ago

Imagine not helping me ​

Imagine not helping me