F(x)=(e^x)*sin(x) find the following
1)f(prime)(x) and calculate fprime(pi/2)
2)f(prime)(pi/2) using forward difference formula (h=0.5) (h=0.2)
3)f(prime)(pi/2) using three-point formula (h=0.5) (h=0.2)

Animations and transitions are added from the

Write a program that prints the day number of the year, given the date in the form month-day-year. for example, if the input is 1-1-2006, the day number is 1; if the input is 12-25-2006, the day number is 359. the program should check for a leap year. a year is a leap year if it is divisible by 4, but not divisible by 100. for example, 1992 and 2008 are divisible by 4, but not by 100. a year that is divisible by 100 is a leap year if it is also divisible by 400. for example, 1600 and 2000 are divisible by 400. however, 1800 is not a leap year because 1800 is not divisible by 400.

How does is make you feel when you're kind to others? what are some opportunities in your life to be more kind to your friends and loved ones? imagine a world where kindness has be outlawed. how would people act differently? would your day-to-day life change significantly? why or why not?