Aman is trapped in a room. the room has only two possible exits: two doors. through the first door there is a room constructed from magnifying glass. the blazing hot sun instantly fries anything or anyone that enters. through the second door there is a fire-breathing dragon. how does the man escape?

These are my favorite riddles/questions, the answer will be he will wait till nighttime and go through the first door. 

When it goes to night the magnifying room will not fry anything 

Icant give you a pair or how to complete the table if i do not know what the table looks like.

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral: