IMathAS-libretexts

Today's outside temperature is modeled by the function

\displaystyle {T}={P}{\left({t}\right)}

, where

\displaystyle {T}

is measured in degrees Celsius and

\displaystyle {t}

is measured in minutes after 12:00 PM.

Which of the following represent the temperature at 1:00 PM today?

[Select all that apply.]

$\displaystyle {\int_{{0}}^{{{60}}}}{P}{\left({t}\right)}{\left.{d}{t}\right.}$
$\displaystyle {P}'{\left({60}\right)}$
$\displaystyle {P}''{\left({60}\right)}$
$\displaystyle {P}{\left({0}\right)}+{\int_{{0}}^{{{60}}}}{P}{\left({t}\right)}{\left.{d}{t}\right.}$
$\displaystyle {P}{\left({0}\right)}+{\int_{{0}}^{{{60}}}}{P}'{\left({t}\right)}{\left.{d}{t}\right.}$
$\displaystyle {P}{\left({60}\right)}$
$\displaystyle {P}{\left({60}\right)}-{P}{\left({0}\right)}$
None of these