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)
=
⇒ =
Answer:
C. Draw a diagram. Draw 4 groups of dots to show the 3 types of exercise and the weeks. Write 30, 45, 25, and 8 in each circle. Add the four numbers.
Step-by-step explanation:
You might be able to get there starting with strategy C, but it is incomplete as written and will not solve the problem.
Answer:
D. 80 mph
Step-by-step explanation:
d- distance
- d/50= 0.6d/40+0.4d/x
- 1/50= 0.3/20+0.4/x
- 0.4/x= 0.02- 0.015
- x= 0.4/0.005
- x= 80 mph
Answer:
7.43
Step-by-step explanation:
2 meters is about six feet, the man is missing about 1.5 feet for his shadow. That means the elephant is also missing 1.5 feet. The elephant is 3 meters tall
