Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

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

A tank holds 3,000 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 gallons) after t minutes.

t (min) 5 10 15 20 25 30
V (gal) 2,076 1,302 765 357 87 0

(a)

If P is the point (15, 765) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with

t = 5,

10, 20, 25, and 30. (Round your answers to one decimal place.)

Q Slope
(5, 2,076)
(10, 1,302)
(20, 357)
(25, 87)
(30, 0)

(b)

Estimate the slope of the tangent line at P by averaging the slopes of the two adjacent secant lines corresponding to the two points closest to P. (Round your answer to one decimal place.)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Concepts In Set Theory

Authors: Mofidul Islam

1st Edition

9353146232, 9789353146238

More Books

Students also viewed these Mathematics questions