Several very skinny 2.0 m long snakes are collected in the Amazon. Each has density of p(x) given by the following formulas, where p is measured in g/cm and x is measured in centimeters from the tip of the tail. For each snake,
a. Find the minimum and maximum density of the snake. Where does the maximum occur?
b. Find the total mass of the snake.
c. Find the average density of the snake. How does this compare with the minimum and maximum?
d. Graph the density and average.
p(x) = 1.0 + 2.0 × 10-8x2 (300 - x).