4. [5 points] Explain mathematically why the function f(1) = – 3.x +1 has absolute extrema on -2,3and then find these extrema.

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Patrina SchowalterLv2

14 Sep 2018

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8. [10 points] Let f() = 21/3 (2 – 2). (a) Find the critical points of y = f(), determine the intervals of increase and decrease and find relative extrema. (A sign chart is required.) (b) Explain if it is possible to find absolute extrema for y = f(x) on (-1, 4]. Locate any absolute extrema that may exist.

2. The parts of this question are independent of each other. (a) Find the absolute extrema of the function f(1) = x3 – 12.1 +1 when I state where these extrema occur. Sufficiently justify your answer. [-1,3] and [8 points) (1) Find / To (3 + 2a Vē + az) dr where a > 0 V(x + 2a dr where a > 0 is a constant. + a2) [7 points]

What is the absolute extrema of function on the interval ?

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4. [5 points] Explain mathematically why the function f(1) = – 3.x +1 has absolute extrema on -2,3and then find these extrema.

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