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Fundamental theorem of calculus

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Use Part I of the fundamental theorem of calculus to find the derivative of the function...
The velocity graph of an accelerating car is shown...
Find the interval on which the curve....is concave upward

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Solution Summary

This provides examples of working with the fundamental theorem of calculus, finding critical points, concavity, and graphs.

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Hello

Please find the calculus solution in the attached file.

Solution-2.
(a)Since according to graph of f(x) there are three line (i) x = 0 to x =2 (ii) x = 2 to x = 6 (iii) x = 6 to 7
First we have to find equation of the each lines
(i) X = 0 to x = 2

Since line passes through (0,1) and (2,-1), therefore equation of the line is

(ii) X = 2 to x =6
Since line passes through (2,-1) and (6, 3), therefore equation of the line is

(iii) X = 6 to 7
Since line passes through (6, 3) to (7, 0)

Thus g(1)
g(2)
g(3)
g(4)
g(5)
g(6) = ...

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