Precalculus

1. In an arithmetic sequence, the fifth term, u5, is greater than the first term, u1. The difference between these terms is 36.

a) find the common difference
9?

The tenth term of the sequence is double the seventh term .
b) find u1
2.5?

2. Consider the function f(x) = ax^3 -3x+5, where a does not equal zero.
a) find f'(x).
3ax^2-3?
b) write down the value of f'(0).
-3?

The function has a local maximum at x=-2
c) calculate the value of a
0.25??

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  1. #1
    (a) ok
    (b)
    u10 = a+9d = a+81
    u7 = a+6d = a+54
    a+81 = 2(a+54)
    a = -27

    #2 ok

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