I'm always so alone Even when surrounded
By people that I know
I'm always so astounded
By my ability to ruin everything
Losing friends and starting fires
Everyone thinks I'm a liar
I always stay at home
'Cause I'm not good in public
I sit here on my phone
I'm always disappointed
I watch them live their lives
I wish that I were happy
Victim of my generation
Time machines cannot erase it
Who am I supposed to be?
When will I be complete?
When will they be proud of me?
It's getting harder to see
Slit my wrists, bloody fists
Questioning why I exist
Pain persists, evil gifts

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.

Aparticular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?