The average value of the given function is .
According to the statement
we have given that the function f(x) and we have to find the average value of that function.
So, For this purpose, we know that the
The given function f(x) is
And now integrate this function with the limit 0 to a then
Now integrate this then
Then the value becomes according to the integration rules is:
Now put the limits then answer will become as output is:
Now solve this equation then
Now
This is the value which represent the average of the given function in the statement.
So, The average value of the given function is .
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Answer:
8x +36
Step-by-step explanation:
The average 11-year-old boy would<span> be around 55 inches tall and </span>weigh<span> around 80 pounds. </span>
Answer:
The solutions to the equation are -3,-2,2
Step-by-step explanation:
x^3+3x^2=4x+12
Subtract 4x +12 from each side
x^3+3x^2-4x-12=4x+12-4x-12
x^3+3x^2-4x-12=0
I will use factoring by grouping
x^3+3x^2 -4x-12=0
I will factor out x^2 from the first group and -4 from the second group
x^2 (x+3) -4(x+3) =0
Now we can factor out (x+3)
(x+3) (x^2-4) =0
We can use the zero product principle since the right hand side is equal to 0
x+3 =0 x^2-4 =0
x+3-3=0-3 x^2 -4+4=0+4
x=-3 x^2=4
Take the square root of each side
sqrt(x^2) = sqrt(4)
x=±2
The solutions to the equation are -3,-2,2