A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (n galons) whert mindes (min) V (gal) S 10 15 20 25 30 685 448 240 101 29 0 (a) If P is the point (15, 240) on the graph of V, find the slopes of the secant lines PQ when Q is the p slope (5.805) (10, 440) (20, 101) (25, 29) (30, 0) 444 -38.8 27.8 -22.2 -16.7 ✓ x x x the graph the following values (Round your i (b) Estimate the slope of the tangent line at P by averaging the slopes of two adjacent secant lines. (Round your answer to one decimal place) -431 MY

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in galions) whert minutes
(min)
V (gal)
S 10 15 20 25 30
685 448 240 101 29 0
(a) If P is the point (15, 240) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with the following values. (Round your answers to sine decimal place)
Q
slope
(5, 605)
(10, 440)
(20, 101)
(25, 29)
(30, 0)
444
-38.8
27.8
22.2
-16.7
x
4.102.1.001.MI.
X
x
(b) Estimate the slope of the tangent line at P by averaging the slopes of two adjacent secant lines. (Round your answer to one decimal place.)
x
-431
MY NO
Transcribed Image Text:A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in galions) whert minutes (min) V (gal) S 10 15 20 25 30 685 448 240 101 29 0 (a) If P is the point (15, 240) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with the following values. (Round your answers to sine decimal place) Q slope (5, 605) (10, 440) (20, 101) (25, 29) (30, 0) 444 -38.8 27.8 22.2 -16.7 x 4.102.1.001.MI. X x (b) Estimate the slope of the tangent line at P by averaging the slopes of two adjacent secant lines. (Round your answer to one decimal place.) x -431 MY NO
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