BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Solutions

Chapter
Section
BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Writing and Solving a Differential Equation In Exercises 23 and 24, write and find the general solution of the differential equation that models the verbal statement.

The rate of change of y with respect to t is inversely proportional to the cube of t.

To determine

To calculate: The general solution of differential equation that models the given statement.

Explanation

Given:

The rate of change of y with respect to t is inversely proportional to the cube of t.

Formula used:

xndx=xn+1n+1+c

Calculation:

dydt1t3dydt=k1t3

Above equation can be written as:

dy=kt3dt

Integrate each side

dy=kt3

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
Sect-6.1 P-11ESect-6.1 P-12ESect-6.1 P-13ESect-6.1 P-14ESect-6.1 P-15ESect-6.1 P-16ESect-6.1 P-17ESect-6.1 P-18ESect-6.1 P-19ESect-6.1 P-20ESect-6.1 P-21ESect-6.1 P-22ESect-6.1 P-23ESect-6.1 P-24ESect-6.1 P-25ESect-6.1 P-26ESect-6.1 P-27ESect-6.1 P-28ESect-6.1 P-29ESect-6.1 P-30ESect-6.1 P-31ESect-6.1 P-32ESect-6.1 P-33ESect-6.1 P-34ESect-6.1 P-35ESect-6.1 P-36ESect-6.1 P-37ESect-6.1 P-38ESect-6.1 P-39ESect-6.1 P-40ESect-6.1 P-41ESect-6.1 P-42ESect-6.1 P-43ESect-6.1 P-44ESect-6.1 P-45ESect-6.1 P-46ESect-6.1 P-47ESect-6.1 P-48ESect-6.1 P-49ESect-6.1 P-50ESect-6.1 P-51ESect-6.1 P-52ESect-6.1 P-53ESect-6.1 P-54ESect-6.1 P-55ESect-6.1 P-56ESect-6.1 P-57ESect-6.1 P-58ESect-6.1 P-59ESect-6.1 P-60ESect-6.1 P-61ESect-6.1 P-62ESect-6.1 P-63ESect-6.1 P-64ESect-6.1 P-65ESect-6.1 P-66ESect-6.1 P-67ESect-6.1 P-68ESect-6.1 P-69ESect-6.1 P-70ESect-6.1 P-71ESect-6.1 P-72ESect-6.1 P-73ESect-6.1 P-74ESect-6.1 P-75ESect-6.1 P-76ESect-6.1 P-77ESect-6.1 P-78ESect-6.1 P-79ESect-6.1 P-80ESect-6.1 P-81ESect-6.1 P-82ESect-6.1 P-83ESect-6.1 P-84ESect-6.1 P-85ESect-6.1 P-86ESect-6.1 P-87ESect-6.1 P-88ESect-6.1 P-89ESect-6.1 P-90ESect-6.1 P-91ESect-6.1 P-92ESect-6.1 P-93ESect-6.1 P-94ESect-6.1 P-95ESect-6.1 P-96ESect-6.2 P-1ESect-6.2 P-2ESect-6.2 P-3ESect-6.2 P-4ESect-6.2 P-5ESect-6.2 P-6ESect-6.2 P-7ESect-6.2 P-8ESect-6.2 P-9ESect-6.2 P-10ESect-6.2 P-11ESect-6.2 P-12ESect-6.2 P-13ESect-6.2 P-14ESect-6.2 P-15ESect-6.2 P-16ESect-6.2 P-17ESect-6.2 P-18ESect-6.2 P-19ESect-6.2 P-20ESect-6.2 P-21ESect-6.2 P-22ESect-6.2 P-23ESect-6.2 P-24ESect-6.2 P-25ESect-6.2 P-26ESect-6.2 P-27ESect-6.2 P-28ESect-6.2 P-29ESect-6.2 P-30ESect-6.2 P-31ESect-6.2 P-32ESect-6.2 P-33ESect-6.2 P-34ESect-6.2 P-35ESect-6.2 P-36ESect-6.2 P-37ESect-6.2 P-38ESect-6.2 P-39ESect-6.2 P-40ESect-6.2 P-41ESect-6.2 P-42ESect-6.2 P-43ESect-6.2 P-44ESect-6.2 P-45ESect-6.2 P-46ESect-6.2 P-47ESect-6.2 P-48ESect-6.2 P-49ESect-6.2 P-50ESect-6.2 P-51ESect-6.2 P-52ESect-6.2 P-53ESect-6.2 P-54ESect-6.2 P-55ESect-6.2 P-56ESect-6.2 P-57ESect-6.2 P-58ESect-6.2 P-59ESect-6.2 P-60ESect-6.2 P-61ESect-6.2 P-62ESect-6.2 P-63ESect-6.2 P-64ESect-6.2 P-65ESect-6.2 P-66ESect-6.2 P-67ESect-6.2 P-68ESect-6.3 P-1ESect-6.3 P-2ESect-6.3 P-4ESect-6.3 P-5ESect-6.3 P-6ESect-6.3 P-7ESect-6.3 P-8ESect-6.3 P-9ESect-6.3 P-10ESect-6.3 P-11ESect-6.3 P-12ESect-6.3 P-13ESect-6.3 P-14ESect-6.3 P-15ESect-6.3 P-16ESect-6.3 P-17ESect-6.3 P-18ESect-6.3 P-19ESect-6.3 P-20ESect-6.3 P-21ESect-6.3 P-22ESect-6.3 P-23ESect-6.3 P-25ESect-6.3 P-26ESect-6.3 P-27ESect-6.3 P-28ESect-6.3 P-29ESect-6.3 P-30ESect-6.3 P-31ESect-6.3 P-32ESect-6.3 P-33ESect-6.3 P-34ESect-6.3 P-35ESect-6.3 P-36ESect-6.3 P-37ESect-6.3 P-38ESect-6.3 P-39ESect-6.3 P-40ESect-6.3 P-41ESect-6.3 P-42ESect-6.3 P-43ESect-6.3 P-44ESect-6.3 P-45ESect-6.3 P-46ESect-6.3 P-47ESect-6.3 P-48ESect-6.3 P-63ESect-6.3 P-64ESect-6.3 P-66ESect-6.3 P-67ESect-6.3 P-69ESect-6.3 P-70ESect-6.3 P-71ESect-6.3 P-72ESect-6.3 P-73ESect-6.3 P-74ESect-6.3 P-75ESect-6.3 P-76ESect-6.3 P-77ESect-6.3 P-78ESect-6.3 P-79ESect-6.3 P-80ESect-6.3 P-81ESect-6.3 P-82ESect-6.3 P-83ESect-6.3 P-84ESect-6.3 P-85ESect-6.3 P-86ESect-6.3 P-3ESect-6.3 P-24ESect-6.3 P-49ESect-6.3 P-50ESect-6.3 P-51ESect-6.3 P-52ESect-6.3 P-53ESect-6.3 P-54ESect-6.3 P-55ESect-6.3 P-56ESect-6.3 P-57ESect-6.3 P-58ESect-6.3 P-59ESect-6.3 P-60ESect-6.3 P-61ESect-6.3 P-62ESect-6.3 P-65ESect-6.3 P-68ESect-6.4 P-1ESect-6.4 P-2ESect-6.4 P-3ESect-6.4 P-4ESect-6.4 P-5ESect-6.4 P-6ESect-6.4 P-7ESect-6.4 P-8ESect-6.4 P-9ESect-6.4 P-10ESect-6.4 P-11ESect-6.4 P-12ESect-6.4 P-13ESect-6.4 P-14ESect-6.4 P-15ESect-6.4 P-16ESect-6.4 P-17ESect-6.4 P-18ESect-6.4 P-19ESect-6.4 P-20ESect-6.4 P-21ESect-6.4 P-22ESect-6.4 P-23ESect-6.4 P-24ESect-6.4 P-25ESect-6.4 P-26ESect-6.4 P-27ESect-6.4 P-28ESect-6.4 P-29ESect-6.4 P-30ESect-6.4 P-31ESect-6.4 P-32ESect-6.4 P-33ESect-6.4 P-34ESect-6.4 P-35ESect-6.4 P-36ESect-6.4 P-37ESect-6.4 P-38ESect-6.4 P-39ESect-6.4 P-40ESect-6.4 P-41ESect-6.4 P-42ESect-6.4 P-43ESect-6.4 P-44ESect-6.4 P-45ESect-6.4 P-46ESect-6.4 P-47ESect-6.4 P-48ESect-6.4 P-49ESect-6.4 P-50ESect-6.4 P-51ESect-6.4 P-52ESect-6.4 P-53ESect-6.4 P-54ESect-6.4 P-55ESect-6.4 P-56ESect-6.4 P-57ESect-6.4 P-58ESect-6.4 P-59ESect-6.4 P-60ESect-6.4 P-61ESect-6.4 P-62ESect-6.4 P-63ESect-6.4 P-64ESect-6.4 P-65ESect-6.4 P-66ECh-6 P-1RECh-6 P-2RECh-6 P-3RECh-6 P-4RECh-6 P-5RECh-6 P-6RECh-6 P-7RECh-6 P-8RECh-6 P-9RECh-6 P-10RECh-6 P-11RECh-6 P-12RECh-6 P-13RECh-6 P-14RECh-6 P-15RECh-6 P-16RECh-6 P-17RECh-6 P-18RECh-6 P-19RECh-6 P-20RECh-6 P-21RECh-6 P-22RECh-6 P-23RECh-6 P-24RECh-6 P-25RECh-6 P-26RECh-6 P-27RECh-6 P-28RECh-6 P-29RECh-6 P-30RECh-6 P-31RECh-6 P-32RECh-6 P-33RECh-6 P-34RECh-6 P-35RECh-6 P-36RECh-6 P-37RECh-6 P-38RECh-6 P-39RECh-6 P-40RECh-6 P-41RECh-6 P-42RECh-6 P-43RECh-6 P-44RECh-6 P-45RECh-6 P-46RECh-6 P-47RECh-6 P-48RECh-6 P-49RECh-6 P-50RECh-6 P-51RECh-6 P-52RECh-6 P-53RECh-6 P-54RECh-6 P-55RECh-6 P-56RECh-6 P-57RECh-6 P-58RECh-6 P-59RECh-6 P-60RECh-6 P-61RECh-6 P-62RECh-6 P-1PSCh-6 P-2PSCh-6 P-3PSCh-6 P-4PSCh-6 P-5PSCh-6 P-6PSCh-6 P-7PSCh-6 P-8PSCh-6 P-9PSCh-6 P-10PSCh-6 P-11PSCh-6 P-12PSCh-6 P-13PS

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Evaluate limnn2i=1nj=1n21n2+ni+j.

Calculus: Early Transcendentals

Finding Derivatives In Exercises 51-62, find f(x). f(x)=(x2+2x)(x+1)

Calculus: An Applied Approach (MindTap Course List)

Solve the equations in Exercises 126. 1x9x3=0

Finite Mathematics and Applied Calculus (MindTap Course List)

State the general equation of a line.

Precalculus: Mathematics for Calculus (Standalone Book)

Let h be the function defined by h(x) = x3 x2 + x + 1. Find h(5), h(0), h(a), and h(a).

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

23. If and , find (a) (b) (c) (d)

Mathematical Applications for the Management, Life, and Social Sciences

Determine the infinite limit. limx3+ln(x29)

Single Variable Calculus: Early Transcendentals

Graph each equation: y=3x

Elementary Technical Mathematics