/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 77 Find the average rate of change ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Find the average rate of change off from0 toπ2.

f(x)=sinx

Short Answer

Expert verified

The average rate of change of f(x)=sinxfrom 0to π2is2π

Step by step solution

01

Step 1. Given data

The given function is

f(x)=sinx

The given interval is 0,Ï€2

02

Step 2. The average rate of change

Consider (a,b)=0,Ï€2

The average rate of change of f

f(b)-f(a)b-a=fπ2-f(0)π2-0=sinπ2-sin(0)π2-0=1-0π2=2π

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.