Geometry problems Use a table of integrals to solve the

Chapter 7, Problem 33E

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QUESTION:

Geometry problems Use a table of integrals to solve the following problems.

Find the length of the curve \(y=x^{2} / 4\) on the interval [0,8].

Questions & Answers

QUESTION:

Geometry problems Use a table of integrals to solve the following problems.

Find the length of the curve \(y=x^{2} / 4\) on the interval [0,8].

ANSWER:

Problem 33E

Geometry problems  Use a table  of integrals  to solve the following problems.

 Find the length of the curve  y=  on the interval [0,8].

Answer;

Step 1;

                                    If  is a continuous on [a,b] , then the length of the curve y = f(x) , a  is

                                L =  dx.

        If we use Leibniz notation for derivatives , we can write the  arc length formula as follows:

                             L =   dx.

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