Answer:
The solution is ![\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%20%2A%20tan%5E%7B-1%7D%5B%5Cfrac%7Be%5E%7B2x%7D%7D%7B5%7D%20%5D%20%2B%20%20C)
Step-by-step explanation:
From the question
The function given is 
The indefinite integral is mathematically represented as
Now let 
=> 
=> 
So
![= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5} + C](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Cfrac%7Btan%5E%7B-1%7D%20%5B%5Cfrac%7Bu%7D%7B5%7D%20%5D%7D%7B5%7D%20%20%2B%20%20C)
Now substituting for u
Answer:
Ф = 39.4 degrees
Step-by-step explanation:
The ratio 5.75 / 7 is the tangent of the angle of elevation. Using the inverse tangent function on a calculator returns Ф = 39.4 degrees.
After one week, Jacob has earned $80 from babysitting, so his change is an increase of $80. The next week, he spends $85, so he experiences a decrease of $85. Over the two weeks, his overall change is $80-$85=-$5, or a decrease of $5.
The game that is used for the scenario above in terms of fair play is using a balloon. Here, the player will hit the balloon.
<h3>What is the scenario under the balloon game?</h3>
The rule of play are:
This is a classic game with simple rules which are:
- Each player to hit the balloon up and it bonce into the air but when one should not allow it to touch the ground.,
- Players would be tied together in twos and they will juggle a lot of balloon and it have to be more than 1 balloon with one of their hands tied to their back.
A scenario of the worksheet game whose expected value is 0 is given below:
Assume that it costs about $1 for a player to play the billon game and as such, if the player hits a balloon, they will be given $3. what can you say. Can you say that it this game is fair or not? and who has the biggest advantage.
Solution
Note that a game is ”fair” if the expected value is said to be 0. When a player is said to hits a balloon, their net profit often increase by $4. So when the player do not hit a balloon, it drops to $1.
(4)(0.313) + (-1)(0.313)
= 0.939 approximately
Thus, the expected value is $0.939 which tells that the game is fair.
Learn more about fair play from
brainly.com/question/24855677
#SPJ1
