Answered: 1. If the radius of a circle increases…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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1. If the radius of a circle increases at the rate of 0.01 inch/sec, find the rate of change of the areawhen the radius is 3 inches long.

2. The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3 inches per minute, at what rate are the base angles changing?

3. A particle travels along the parabola y = ax^2 + x + b. At what point do its abscissa and ordinate change at the same rate?

4. A weight is attached to one end of a 33-foot rope which passes over a pulley 18 feet above the ground. The other end is attached to a truck at a point 3 Feet Above the ground. If the truck Moves away at a rate of 2 feet per second, How fast is the weight rising when the truck is 8 feet from the spot directly under the pulley?

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