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UNO [17]
3 years ago
8

I take another picture for question

Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0
The first one is correct, the answer is 6/12.

The second is correct, the greatest is 12,926 and the least is 12,409.

The sum of all three is 38239. Be more careful with questions like those and check your answers! 

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Given g(x) = -2x^2 + x + 6 determine: [g(x+h) - g(x)] / h
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Task:  determine [g(x+h) - g(x)] / h

1.  Starting with g(x) = -2x^2 + x + 6, determine g(x+h):

    g(x+h) = -2(x+h)^2 + (x+h) + 6 = -2(x^2 + 2xh + h^2) + x + h + 6

                                                     =  

2.  Subtract g(x) from g(x+h):  

        g(x+h) - g(x) =   -2x^2 - 4xh -2 h^2 + x + h + 6

                              -   (2x^2 + x + 6                             )

                            --------------------------------------------------------

                         =          - 4xh  - 2h^2 + h

3.  Divide this result by h:

     g(x+h) - g(x)

    ------------------  =  -4x - 2h + 1                 (answer)

             h


Note:  Soon you will begin taking the limit (as h approaches 0) of such results.  Here that result would be -4x - 2(0) + 1 = -4x + 1.  This algebraic quantity is the "derivative" of the given function g(x) = -2x^2 + x + 6.

7 0
3 years ago
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