#GETTING TO KNOW YOU QUIZ FOR Dr. Z.'s Math251(22,23,24) Rutgers University

# Please Edit this ,txt page with Answers

#Email  DrZcalc3@gmail.com 
#Subject: q0
#with an attachment called
#q0FirstLast.txt

#when I tell you during the first lecture (Sept. 3) if you attended it
#Or right after, if you watched the video

#

#------------
# My Name Is: Ashwin Haridas

# My [Professional] Goals in Life are: get a job in software engineering, go to grad school, become a teacher


# My Hobbies are: programming, playing basketball  



#Please Decipher and Prove the assertion in the following limerick

#-----------------------

# The integral of z-squared dz

# From one to the cube root of three

# Times the cosine

# Of three pi over nine

# Equals log of the cube root of e

# Solution:
# The antiderivative of z^2 with respect to z is (z^3)/3.
# The integral of z^2 with respect to z from bounds 1 to 3^(1/3) is:
# (3/3 - 1/3) = 2/3
# cos(3pi/9) = cos(pi/3) = 1/2
# 2/3 * 1/2 = 1/3.

# log(e^(1/3)) = 1/3 * log(3) = 1/3 * 1 = 1/3
# Therefore, they are equal