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
B. Spell checker
Explanation
Spell checker is a program designed to identify misspelled words and notify the writer about the mistake. The programs can further auto correct the word or allow the writer to choose from various corrections of the word. In Microsoft, a red underline appears on the misspelled word to display the error.
Answer:
Telomeres, the ends of chromosomes, shorten as we age, but this process can be slowed through exercise
Explanation:
The following that demonstrates how aging can be influenced by heredity is "Telomeres, the ends of chromosomes, shorten as we age, but this process can be slowed through exercise"
Telomeres are known to be pieces of junk DNA which are usually found at the end of end of chromosomes. The length of telomeres shorten with age.They become shorter and shorter and gets to a point when the cells cannot divide without losing some pieces of DNA. When it shortens, it affects lifespan and health of an individual.
According to the genetic theory of aging, it is seen that genes determine lifespan.
Studies has revealed that exercises helps to lengthen telomeres and also helps the heart and lungs to function well.