Acompact disc has a radius of 6 centimeters.
a. what is its circumference in meters?
b. if the cd rotates 4 times per second, what is the linear speed of a point on the outer edge of the cd? give your answer in meters per second.
c. what is the linear speed of a point 3 centimeters from the center of the cd? (assume the angular speed has not changed).

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)