This question has several parts that must be completed sequentially If you skip a part of the question, you will not receive any points for theskipped part, and you will not be able to come back to the skipped part.A tank holds 2000 gallons of water, which drains from the bottom of the tank in half an hour The valses in the table show the volume Vof water remaining in the tank (in gallons) after t minutes.t (min)101520 25 30V (gal)1388 862 480 220 52 0Exercise (a)If Pis the point (15, 480) on the graph of V, find the slopes of the secant limes PQ when Q is the point on the graphwith the following values.(5,1388)(10,862)(20,220)(25,52)(30,0)Step 1Slopes of secant lines passing through P(15, 480) and Q(t. V()) can be calculated us ingV(t)-480ect-15We begin by calculating the s lope when t = 5.V5)-480SeC5-1513881388- 480 Exercise (b)Estimate the slope of the tangent line at P(15, 480) by averaging theslopes of two adjacent secant linesStep 1Looking at the table, the t-values adjacent to t = 15 arex10 (smaller value)1- 15 x 20 larger value).St ep 2To estimate the slope of thetangent line att=15, we average the slopes of the adjacent secant lines fort = 10 andt= 20 As obtained in part (a), thoseslopes are m--764 and m--52. respectivelyTherefore, thesope of the tangent line at t 15 s as folows (In the laststep round your ans wer to one decimalplace)(5-76.4+-89-52+2If you use a g raph of the function to estumate the slope of the tangent ine at P(15,480) you will see that it atchestheabove result,Submit Skip you cannot come back)

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Description: This question has several parts that must be completed sequentially If you skip a part of the question, you will not receive any points for theskipped part, and you will not be able to come back to the skipped part.A tank holds 2000 gallons of water

if a and b are two numbers than the average of a and b a+b/2

Math

Calculus

This question has several parts that must be completed sequentially If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. A tank holds 2000 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 rem aining in the tank (in gallons) after t minutes. 10 15 20 25 30 (uiu) 1 V (gal) 1388 862 480 220 520 Exercise (a) If Pis the point (15, 480) on the graph of V, find the slopes of the secant lines PQ wrhen Q is the point on the graph with the following values. (5,1388) (10,862) (20,220) (25,52) (30,0) Step 1 Slopes of secant lines pass ing through P(15, 480) and Q(t. V())can be calculated us ing Vt)- 480 t-15 We begin by calculating the s lope when t 5. V(5) - 480 mec 5-15 1388 1388-480 10

This question has several parts that must be completed sequentially If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. A tank holds 2000 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 rem aining in the tank (in gallons) after t minutes. 10 15 20 25 30 (uiu) 1 V (gal) 1388 862 480 220 520 Exercise (a) If Pis the point (15, 480) on the graph of V, find the slopes of the secant lines PQ wrhen Q is the point on the graph with the following values. (5,1388) (10,862) (20,220) (25,52) (30,0) Step 1 Slopes of secant lines pass ing through P(15, 480) and Q(t. V())can be calculated us ing Vt)- 480 t-15 We begin by calculating the s lope when t 5. V(5) - 480 mec 5-15 1388 1388-480 10

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter1: Variables, Expressions, And Integers

Section: Chapter Questions

Problem 4PSP

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