S V81 – x² dx,

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 1YT: YOUR TURN Find dy if y=300x23,x=8, and dx=0.05.
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Sketch the region whose area is given by the definite integral.

The use a geometri formula to evaulate the integral.

S V81 – x² dx,
Transcribed Image Text:S V81 – x² dx,
Expert Solution
Step 1

Explanation:

Given that, 

                                      Calculus homework question answer, step 1, image 1

We will graph the function 

                                 Calculus homework question answer, step 1, image 2

f(x) represent the circle whose radius is 9

                               Calculus homework question answer, step 1, image 3

Step 2

Now using the geometric formula 

Area of circle :

                             Calculus homework question answer, step 2, image 1

Where r is radius

We know that, given graph represent the quarter circle 

radius = 9

Area of complete circle is:

                           Calculus homework question answer, step 2, image 2

Area of quarter circle is one forth of the area of complete circle.

                       Calculus homework question answer, step 2, image 3

 

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