Francisco E. answered • 06/16/14

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Francisco; Civil Engineering, Math., Science, Spanish, Computers.

The mean slope of the function in this interval is given by

f(5)-f(-5)/(5-(-5))

f(5)= 3*125 - 25 = 350

f(-5)= - 3*125 + 25 = -350

then the average slope will be

(350-(-350))/10

=70

The points where it happens are:

9x

^{2}- 5 = 70 = f'(c)X

^{2}= 25/3X1 = (5*√3)/3

X2 = -(5*√3)/3