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For the function `g(x)= (-3x^3)/4 + 3x` what is the slope of the secant between the...

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foxwit | Student, Undergraduate | (Level 1) Salutatorian

Posted August 16, 2012 at 3:17 PM via web

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For the function `g(x)= (-3x^3)/4 + 3x` what is the slope of the secant between the values x=1 and x=1.1?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 16, 2012 at 4:47 PM (Answer #1)

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The slope of the secant between the points where x = 1 and x = 1.1 is given by:

slope = `(g(1.1) - g(1))/(1.1 - 1)`

=> `((-3*1.1^3)/4 + (3*1.1) - (-3/4 + 3))/0.1`

=> `207/400`

The required slope is `207/400`

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