   Chapter 11.3, Problem 98E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

If f and g are functions of time, and at time t = 2 , f equals 3 and is rising at a rate of 4 units per second, and g equals 5 and is rising at a rate of 6 units per second, then f / g  equals _ _ _ _ andis changing at a rate of _ _ _ _ unitsper second.

To determine

To fill: The blanks, ‘If f and g are function of time, f equals 3 and increasing at the rate of 4 units per second, and g equals 5 and increasing at a rate of 6 units per second when t=2, then fg equals ______ and is increasing at the rate of ______ units per second’.

Explanation

Consider the functions, f and g

At t=2

f(2)=3g(2)=5

Calculate the value of fg at t=2,

fg=f(2)g(2)=35

Thus the value of fg at t=2 is 35.

As rate of change of the function is the derivative.

So, at t=2

f'(3)=4g'(3)=6

As Quotient rule of derivative of differentiable functions, f(x) and g(x) is,

ddx[f(x)g(x)]=f'(x)g(x)f(x)g'(x)[g(x)]2 where, g(x)0

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Determine the infinite limit. limx3x(x3)5

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 1 to 6, find cos and cos.

Elementary Geometry For College Students, 7e

Find the slope of each line: y=9x13

Elementary Technical Mathematics

Which number is the best choice for the value of a in the following graph? a) e b) 1 c) 2 d) 3

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

The harmonic series is: 1 + 2 + 3 + 4 + …

Study Guide for Stewart's Multivariable Calculus, 8th 