Refer to Exercise 97. If a ball has a 20-cm diameter, then the function becomes

This function can be used to determine the depth that the ball sinks in water. Find the depth that this size ball sinks when d = 0.6. Round to the nearest hundredth.

Exercise 97

The polynomial function

can be used to find the depth that a ball 10 cm in diameter sinks in water. The constant d is the density of the ball, where the density of water is 1. The smallest positive zero of ƒ(x) equals the depth that the ball sinks. Approximate this depth for each material and interpret the results.

Transcribed Image Text:

4000тd f(x) = * - -х3 — 10тх? + 3 3 500nd f(x) x3 – 5Tx² + 3 3