Question

$f(x) = 0.001 {x}^{3} -0.12 {x}^{2} + 3.6x + 10$A. For what interval of the domain is the coaster dropping? 10 (o ) (answer choices for x and y: 0, 10, 20, 30, 40, 50, 60, 70 Part B. To the nearest meter, what is the maximum height of the coaster? meters. The maximum height is

Answer 1

PART A

For part A from 20 to 60 is the coaster dropping. [20, 60]

PART B

The maximum height occurs when x = 20

$\begin{gathered} f(x)=0.001(20)^3-0.12(20)^2+3.6(20)+10 \\ f(20)=42 \end{gathered}$

The maximum height would be 42