   Chapter 8.4, Problem 9CP ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem

# Checkpoint 9 Worked-out solution available at LarsonAppliedCalculus.comIn Example 9, find the rate at which the temperature is changing at 8 p.m.

To determine

To calculate: The rate at which temperature is changing at 8 P.M, when temperature T in degree Fahrenheit is modeled as T=70+15sinπ(t8)12.

Explanation

Given Information:

The temperature T in degree Fahrenheit is modeled as T=70+15sinπ(t8)12.

Formula used:

Sine derivative Rule:

ddx[sinu]=cosududx

General power derivative rule:

ddxxn=nxn1

Calculation:

Consider the provided trigonometric function:

T=70+15sinπ(t8)12

Differentiate the above function with respect to t using Sine and Power derivative rules.

dTdt=ddt[70+15sinπ(t8)12]=ddt+15ddt[sinπ(t8)12]=0+15[cosπ(t8)

### 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 