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Diano4ka-milaya [45]
3 years ago
14

Find the average value of the function f(x)=−4sin(x) on the interval [π2,3π2] and determine a number c in this interval for whic

h f(x) is equal to the average value.
Mathematics
1 answer:
Ber [7]3 years ago
8 0

Answer:

Step-by-step explanation:

The average value theorem sets:

if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that

\frac{f(b)-f(a)}{b-a}=f'(c) , where

f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4

f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4

\frac{4-(-4)}{(3\pi/2)-(\pi/2)}=f'(c)

\frac{8}{\pi }=f'(c)

f'(x)=-4cos(x) ⇒

f'(c)=-4cos(c)=\frac{8}{\pi }\\c=acos(\frac{-2}{\pi })\\

c≅130

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zmey [24]

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

6 0
3 years ago
Match the data to the summary 5,10,15,20,25,25,25,30,35,40,45,50
Serjik [45]
Minimum = 5
maximum = 50
Q1 = (15 + 20)/2 = 17.5
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8 0
2 years ago
What is the coefficient of x2 in the expansion of (x + 2)3?
wolverine [178]
One way is that you can just factor it out: (x+2)(x+2)(x+2)
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Then do (x^2+4x+4)*(x+2)
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4 0
3 years ago
Mr. Con makes punch by mixing 10.6 L of apple juice 0.6 L of oranges and 8 L of Ginger ale. He pours the mixture equally into 6
sattari [20]

Answer:

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For getting the punch of each bowl we just need to divide this volume between the 6 bowls:

19.2 / 6 = 3.2 L

So, each bowl has 3.2 L

3 0
2 years ago
A moving company charges $0.70 per pound for a move from New York to Florida. A family estimates that their belongings weigh abo
mamaluj [8]

First, how many pounds are equal to 1 ton?  2000

Then, $0.70 x 2000 pounds

So, the cost to move is $1,400

Yep. It's that simple. :)

5 0
3 years ago
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