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damaskus [11]
3 years ago
15

A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec

onds after it's thrown. Determine whether the function has a maximum or minimum value.
Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

  1. Find out f'(x) and f''(x)
  2. Then set f'(x)=0 which gives x=a.
  3. f''(a) > 0 , then at x=a , f(x) has minimum value.
  4. If f''(a)<0 , then at x=a, f(x) has maximum value.

Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

h=-16t^2+32t

Differentiating with respect to t

h'=-32 t+32

Again differentiating with respect to t

h''=-32

Next, we set h'=0

-32 t+32=0

\Rightarrow 32t=32

\Rightarrow t=1

Now h''|_{t=1}=-32

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

                                     = -16+32

                                     =16 feet

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
What is the formula for calculating the area of a circle.
Tom [10]

Answer:

A=\pi\times r^2

Step-by-step explanation:

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\pi\times r


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A=\pi\times r^2

Hope this helps.

6 0
3 years ago
Identify the resulting probability as theoretical or experimental. One-half of the people in a chess club are adults 21 years ol
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The correct answer is <span>D. The theoretical probability is 50%.

Hope this helps!
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8 0
3 years ago
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You want to buy a car, and a local bank will lend you $30,000. The loan would be fully amortized over 6 years (72 months), and t
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Answer:

<h2>- 56,667cents</h2><h2>- 6.17%</h2>

Step-by-step explanation:

Before we can determine the monthly loan paymnet, we must first calculate the total amount paid at the end of 6years.

Amount = Principal + Interest

Given Principal = $30,000

Interest = Principal * rate * time/100

Interest = $30,000*6*6/100

Interest =  $10,800

Amount =  $30,000+ $10,800

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%EFF = 1.005^12

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6 0
3 years ago
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Answer is 38

20 -(-3) + 15

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38

6 0
3 years ago
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