/*! 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. 68 The spread of oil leaking from a... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 68 (page 257)

The spread of oil leaking from a tanker is in the shape of a circle. If the radius r(in feet) of the spread after thours is r(t)=200t, find the area A of the oil slick as a function of the time t.

Short Answer

Expert verified

The Area, A(t)=40,000蟺迟.

Step by step solution

01

Step 1. Given Information

Given thatr(t)=200t.

02

Step 2. Solution

We know that the area of circle is A(r)=蟺谤2.

We have to find area Aas a function of t.

Here, r(t)=200t.

So,

A鈭�r(t)=A(r(t))A鈭�r(t)=蟺{r(t)}2 A鈭�r(t)=蟺{200t}2 A鈭�r(t)=蟺{40000t}A鈭�r(t)=40,000蟺迟A(t)=40,000蟺迟.

03

Step 3. Final answer

Hence, Aas a function oftisA(t)=40,000蟺迟.

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 91影视!

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

The domain of one to one function g is0,15,and its range is0,8. State the domain and range ofg-1

A function fhas an inverse function. If the graph of f lies in quadrant I in which quadrant does the graph of f-1 lie?

If f(x)=ax+band g(x)=cx+d, then find: -

(a)f鈭�g

(b)g鈭�f

(c)the domain of f鈭�gand g鈭�f

(d)the conditions for whichf鈭�g=g鈭�f

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=2x3x-1

Solve the equation(14)x=164

and verify your results using a graphing utility.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.