brazil-enem 2017 Q166

brazil-enem · Other · enem__day2 Harmonic Form
A scientist, in his studies to model a person's blood pressure, uses a function of the type $P(t) = A + B\cos(kt)$ where $A$, $B$, and $K$ are positive real constants and $t$ represents the time variable, measured in seconds. Consider that a heartbeat represents the time interval between two successive maximum pressures.
When analyzing a specific case, the scientist obtained the data:
Minimum pressure78
Maximum pressure120
Number of heartbeats per minute90

The function $P(t)$ obtained by this scientist when analyzing the specific case was
(A) $P(t) = 99 + 21\cos(3\pi t)$
(B) $P(t) = 78 + 42\cos(3\pi t)$
(C) $P(t) = 99 + 21\cos(2\pi t)$
(D) $P(t) = 99 + 21\cos(t)$
(E) $P(t) = 78 + 42\cos(t)$
A scientist, in his studies to model a person's blood pressure, uses a function of the type $P(t) = A + B\cos(kt)$ where $A$, $B$, and $K$ are positive real constants and $t$ represents the time variable, measured in seconds. Consider that a heartbeat represents the time interval between two successive maximum pressures.

When analyzing a specific case, the scientist obtained the data:

\begin{center}
\begin{tabular}{ | c | c | }
\hline
Minimum pressure & 78 \\
\hline
Maximum pressure & 120 \\
\hline
Number of heartbeats per minute & 90 \\
\hline
\end{tabular}
\end{center}

The function $P(t)$ obtained by this scientist when analyzing the specific case was\\
(A) $P(t) = 99 + 21\cos(3\pi t)$\\
(B) $P(t) = 78 + 42\cos(3\pi t)$\\
(C) $P(t) = 99 + 21\cos(2\pi t)$\\
(D) $P(t) = 99 + 21\cos(t)$\\
(E) $P(t) = 78 + 42\cos(t)$