   Chapter 5.3, Problem 11QY ### 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
1 views

# In Exercises 10 and 11, find the particular solution that satisfies the differential equation and the initial condition. f ' ( x ) = 6 x 2 + 1 ;   f ( 1 ) = 9

To determine

To calculate: The particular solution that satisfied the differential equation and initial condition f(x)=6x2+1;  f(1)=9.

Explanation

Given Information:

The provided first derivative f(x)=6x2+1.

The boundary condition f(1)=9

Formula used:

The power rule of integrals:

undu=un+1n+1+C (for n1)

Here, u is function of x.

The property of Intro-differential:

df(x)dxdx=f(x)

Calculation:

Consider the derivative:

f(x)=6x2+1

Rewrite the integrand as:

df(x)dx=6x2+1

Apply, integration on both sides:

df(x)dxdx=(6x2+1)dx<

### 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

#### Evaluate Evaluate the expression. 11. 21/281/2

Precalculus: Mathematics for Calculus (Standalone Book)

#### In Exercises 516, evaluate the given quantity. log4164

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 2528. solve the equation by factoring. 28. 2x4 + x2 = 1

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

#### In problems 1-4, fnd the powers and roots,if they are real numbers. 4. (a) ...

Mathematical Applications for the Management, Life, and Social Sciences 