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!
The two statements which are necessary to make the conclusion in the beginning of the question true include:
b) Ben is in the pool.
d) All the boys in the pool are swimming.
<h3>What is Conclusion?</h3>
This is referred to as the final or concluding part of something or an essay and usually contains the summary.
For it to be true that Ben is swimming then he has to be in the pool and all the boys present must be swimming for us to arrive at such conclusion.
Read more about Conclusion here brainly.com/question/26093731
#SPJ1
<span>Despite the fact that
China's agriculture output is the biggest on the planet, just around 15% of its
total land zone can be used to cultivate. China's arable land, which makes
about 10% of the total arable land on the planet, supports more than 20% of the
total populace.</span>