the height, h, in feet of a flag on one blade of a windmill as a function of time, t, in seconds can be…
the height, h, in feet of a flag on one blade of a windmill as a function of time, t, in seconds can be modeled by the equation h = 3sin(4π/6)(t - 1/2) + 12. what is the minimum height of the flag? 3 feet 9 feet 12 feet 15 feet
Answer
Explanation:
Step1: Identificar rango de la función seno
El rango de la función $y = \sin(x)$ es $[- 1,1]$.
Step2: Encontrar el valor mínimo de la función dada
Dada la función $h = 3\sin\left(\frac{4\pi}{6}(t-\frac{1}{2})\right)+12$, el valor mínimo de $\sin\left(\frac{4\pi}{6}(t - \frac{1}{2})\right)$ es $-1$. Sustituimos $\sin\left(\frac{4\pi}{6}(t-\frac{1}{2})\right)=-1$ en la ecuación de $h$: $h = 3\times(-1)+12$.
Step3: Calcular el valor de $h$
$h=-3 + 12=9$.
Answer:
9 feet