Evaluate integral_c f middot dr where f = (1/2 x^2 y^3, xy) and c is the circle with radius 3, centered at the origin transversed clockwise.

An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. what is the probability you will roll a brown on your next toss of the die? express your answer as a simplified fraction or a decimal rounded to four decimal places.

One line passes through (-7,-4) and (5,4) . another line passes through the point (-4,6) and (6,-9)

15 and 14.7 are 1 apart, so 15 – 14.7 must be 1.