Answer:
= 
Step-by-step explanation:
To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3
/2]
Proof -
We know that,
Average value of f in the interval [a, b] is -
= 
Now,
Here a = 0, b = 
, f(x) = 
Now,
= 
= 
= 
= ![{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ]](https://tex.z-dn.net/?f=%7B%5Cfrac%7B10%20%7D%7B3%5Cpi%20%7D%7D%5B%5C%20%7Btan%28%7B%5Cfrac%7Bx%7D%7B6%7D%20%7D%29%20%7D%7C%5E%7B%5Cfrac%7B3%5Cpi%20%7D%7B2%7D%20%7D_0%20%5C%2C%20%5D)
= ![{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ]](https://tex.z-dn.net/?f=%7B%5Cfrac%7B10%20%7D%7B3%5Cpi%20%7D%7D%5B%5C%20%7Btan%28%7B%5Cfrac%7Bx%7D%7B6%7D%20%7D%29%20-%20tan%28%7B0%29%20%7D%20%5C%2C%20%5D)
= ![{\frac{10 }{3\pi }}[ {1 - 0 } ]](https://tex.z-dn.net/?f=%7B%5Cfrac%7B10%20%7D%7B3%5Cpi%20%7D%7D%5B%20%7B1%20-%200%20%7D%20%20%5D)
=
⇒ =
Fraction means a part of something
we see
18 times a fraction is bigger or smaller or equal to 18
18 times a fraction means take a part ouf of 18
in this case
18 times 4/5=72/5=14.4
14.4 is less than 18
when you take a fraction of something, it becomes smaller, like if you take a slice of pizza or a fraction of the pizza, it becomes smaller
lesss
Answer:
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
3 + 9 = 4.5x - 1.5x
12 = 3x
12/3 = x
4 = x <======
Answer:
The value of 2n - 2 is 4.
Step-by-step explanation:
Given the equation
Subtract 7 from both sides of the equation
Simplify
Now substituting n = 3 in the equation
2n - 2 = 2(3) - 2
= 6 - 2
= 4
Therefore, the value of 2n - 2 is 4.
Answer:
it's should be B
reflection over the x-axis
