# amos94CHAPTER 2 LIMITS AND DERIVATIVES2.1 Exercises1. A tank holds 1000 gallons of water, which drains from thebottom of the tank in half an hour. The values in the table showthe volume V of water remaining in the tank (in gallons) aftert minutes.t (min)51015252030V (gal)69428 0444250111(a) If P is the point (15, 230) on the graph of V, find the slopesof the secant lines PQ when Q is the point on the graphwith t 5, 10, 20 25, and 30.sdi b01(b) Estimate the slope of the tangent line at P by averaging theslopes of two secant lines.(c) Use a graph of the function to estimate the slope of thetangent line at P. (This slope represents the rate at which thewater is flowing from the tank after 15 minutes.)0A cardiac monitor is used to measure the heart rate of a patientafter surgery. It compiles the number of heartbeats after t min-tes. When the data in the table are graphed, the slope of theangent line represents the heart rate in beats per minute.01t1909

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Asked Oct 2, 2019
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I don't know understand one and it's parts.

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## Expert Answer

Step 1

Given,

Step 2

Find the slope of the secant lines PQ when Q is the point on the graph with t = 5, 10, 20, 25 and 30.

Step 3

Now, obtain the other slopes by substituting Q (10, ...

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