$[-/6$ Points$]$

MY NOTES

SCALC$91\mathrm{.}4\mathrm{.}001.$MI$.$

A tank holds $3,000$ gallons of water, which drains from the bottom of the tank in half an hour. The values t minutes.

$\backslash$table$[[t(min),5,10,15,20,25,30],[v($gal$),2,058,1,314,795,357,81,0]]$

$($a$)$ If $P$ is the point $(15,795)$ on the graph of $V,$ find the slopes of the secant lines $PQ$ when $Q$ is the $P0$ decimal place.$)$

$\backslash$table$[[Q,$Slope$],[(5,2,058),],[(10,1,314),],[(20,357),],[(25,81),],[(30,0),]]$

$($b$)$ Estimate the slope of the tangent line at $P$ by averaging the slopes of the two adjacent secant lines $c$ place.$)$