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Concept explainers
To calculate: The approximate value of
![Check Mark](/static/check-mark.png)
Answer to Problem 79E
It is clear that
Explanation of Solution
Given information:
The convincing argument that the
Formula used:
Calculation:
Solve by your graphical calculator
Then
Assume,
Take derivative both sides
For
For
Hence,
Furthermore, each arch of
So,
This means that
Where k is a positive integer
Thus, each successive minimum value is greater than previous one. Hence, for the interval
In the interval
Thus, from above argument, it is clear that integral has only solution at
Conclusion:
It is clear that integral has only solution at
Chapter 6 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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- Number 4 plsarrow_forwardGood Day, Would appreciate any assistance with this query. Regards,arrow_forwardThis question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one. A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture. A B A B at some instant, the piston will be tangent to the circle (a) Express the x and y coordinates of point A as functions of t: x= 2 cos(3πt) and y= 2 sin(3t) (b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds: -cot(3πt) sin(3лt) (c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +411- 4 -2 sin (3лt) (d)…arrow_forward
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