let p(x) = 7- 3(x-4)+5(x-4)^2 - 2(x-4)^3 + 6(x-4)^4 be the fourth degree of polynomial for the function f about 4. Assume f has derivatives of all real orders

1. Find f(4) and f'''(4)

2. Write the second degree Taylor polynomial for f' about 4 and its approximate f'(4.3).

3. Write the fourth degree Taylor polynomial for g(x) = about 4

4. Can f(3) be determined from the information given? Justify your answer.

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