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 (x) equals the depth that the ball sinks Approximate this depth for each material and interpret the results (a) A wooden ball with d 0 8 (to the nearest hundredth) (b) A solid aluminum ball with d 2 7 (c) A spherical water balloon with d 1 500nd f(x) x3 5Tx 3 3

Question: 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

The polynomial function

500nd f(x) x3 – 5Tx² + 3 3

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.

(a) A wooden ball with d = 0.8 (to the nearest hundredth)

(b) A solid aluminum ball with d = 2.7

500nd f(x) x3 5Tx + 3 3

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