Identify the middle line for the function.

2 answers:

7 0

The solution to the problem is as follows:

'(t) = 0 gives:

-24t + 60 = 0

t = 2.5

For this t, the second derivative s"(t) = -24 is negative.

And so, s(t) is maximum for t = 2.5.

Maximum height is:

S = -12(2.5)^2 + 60(2.5) +8 = 233ft

I hope my answer has come to your help. God bless and have a nice day ahead!

soldi70 [24.7K]3 years ago

6 0

Hello there.

Identify the middle line for the function.

Identify the middle line for the function: f (t) = 5sec(3t − π) + 1.

y = 2

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You are given a circle of radius 12. What is the segment area of an arc that is 90 degrees?

Pachacha [2.7K]

Answer:

36π - 72 sq in.

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

How do you answer this step by step

leonid [27]

X/3 +4 = 5+x/6
6(x/3 +4 = 5+x/6)
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3 0

3 years ago

Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approxi

nydimaria [60]

Answer:

Circumference: 12π + 8 cm,

Area: 48 ( cm )^2

Step-by-step explanation:

This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.

Circumference of 1 semicircle = $\frac{1}{2}$ ( πd ) = $\frac{1}{2}$ π( 4 ) = 2π ( cm )

Circumference of Figure (composed of 6 semicircles + 2 sides of a square),

We know that 6 semicircles should be 6 $*$ 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2

Circumference of Figure = 6 $*$ 2π + 2 = 12π + 8 ( cm )

_____________

The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.

Area of 1 semicircle = 1/2π $r^2$ = 1/2π $(2)^2$ = 2π ( cm ),