1. Use Green's Theorem to evaluate the line integral along the given positively oriented curve. a) [xy²dx + 2x²y dy C is the triangle with vertices (0,0), (2,2), and (2,4) b) [(y + eve) dx + (2x + cos y²) dy C is the boundary of the region enclosed by the parabolas y = x² and x = y² √y ³ y³ dx - x³ dy C is the circle x² + y² = 4 c)

How many distinguishable words, whether they have meaning or not, can be made using all the letters in the word  Hippopotamus? Write out each step and explain what you are doing in each step.

The number of digits in the CVC was changed from 3 digits to 4 digits. Determine the increase in number ofpossible CVCs .

License plates in Florida have the form A24BSDE; that is, a letter followed by 2 digits followed by 4 more letters. number of possible license plates=griff would like a plate that ends in MWSU. How many such plates are there? Number of possible license plates=