The first thing you have to realize is that
tangent is the
slope of a curve on a given point. You can solve for the slope by finding the derivative of the given function. So:

Next use
product rule (I recommend watching videos if you're confused):
![= [sin(x)] + [x*cos(x)]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28x%29%5D%20%2B%20%5Bx%2Acos%28x%29%5D)
Next substitute you x-value (π/2) into your derivative:
![= [sin( \frac{ \pi}{2} )] +[ \frac{\pi}{2}*cos( \frac{\pi}{2})]](https://tex.z-dn.net/?f=%3D%20%5Bsin%28%20%20%5Cfrac%7B%20%5Cpi%7D%7B2%7D%20%29%5D%20%2B%5B%20%5Cfrac%7B%5Cpi%7D%7B2%7D%2Acos%28%20%5Cfrac%7B%5Cpi%7D%7B2%7D%29%5D%20%20)


So our slope at π/2 is 1. Next we use our slope-form and substitute our given value and solve for y-intercept (algebra-stuff)


So we get our equation:

So our answer is E
Feel free to ask any questions.
Hopes this helps!
Answer:
Explanation:
Yes, it is possible to <u>break a bone</u> or pull a muscle if a person slips on a ground or ice. Broken bone is very painful and makes it impossible to walk. You would know for sure if that was the case.
Much more common is to <u>pull a muscle or joint</u>. You would still be able to walk, but it would hurt. In any case you do need to talk to the general practitioner that treats your family or the one available at school.
If you go back to intensive physical exercise, like cheerleading, if the pain does not go away in a few days, you might cause more damage that could turn out very serious.
Finally, <em>arthritis </em>is a term that includes a number of conditions that affect joints. Most of the diseases that are included under the umbrella term of arthritis, have a gradual onset and manifest in older age.
Answer:
Answers to numbers (Somebody else do another half)
1. If I could do something I've never done before, it'd be sky diving. I would want to go sky diving for the thrill of falling and descending back to Earth from a great height. Also, trying new activities is awesome, so why not do as much as you can while you're still here?
2. Pollution is bad because it kills the environment and people around us. Pollution may muddy landscapes, poison soils and waterways, or kill plants and animals. Humans are also regularly harmed by pollution. Long-term exposure to air pollution, for example, can lead to chronic respiratory disease, lung cancer and other diseases.
3. If I could go back to any place in time, I would stay right where I am. The world is already bad enough with political issues, protests, fires etc. Going back in time would do nothing but change the flow and disrupt how the world is working.