Problem 46E

For the functions in Exercises 39–46, find a formula for the Riemann sum obtained by dividing the interval [a, b] into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of these sums as to calculate the area under the curve over [a, b].

ƒ(x) = x2 - x3 over the interval [-1, 0].

Leslie Ogu CSCI 4531 09/20/2016 - Chapter 21: Public-Key Encryption and Message Authentication Secure Hash Algorithm ● SHA was originally developed by NIST ● Published as FIPS 180 in 1993 ● Was revised in 1995 as SHA-1 ○ Produces 160-bit hash values ● NIST issued revised FIPS 180-2 in 2002 ○ Adds 3 additional versions of SHA ○ SHA-256, SHA-384, SHA-512 ○ With 256 / 384 / 512-bit hash values ○ Same basic structure as SHA-1 but greater security ● In 2005, NIST announced the intention to phase out approval of SHA-1, and move to a reliance on the other SHA version by 2010 SHA Comparisons on slides N 1024 bits diagram in slides SHA-3 ● SHA-2 shares same str