The graph of f shown consists of a semicircle and two line segments on the interval [-2, 6]. Let g (x) = S f (t) dt (44) 4 Graph of f -2 (6,-4) b). On what open intervals contained in -2 s xs 6 is the graph of g increasing. Justify your answer. c). On what open intervals contained in -2
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Parts
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![The graph of f shown consists of a semicircle and two line segments on the interval [-2, 6].
Let g (x) = S f (t) dt
(4)
Graph of f
(6,-4)
b). On what open intervals contained in -2 < x < 6 is the graph of g increasing. Justify your answer.
c). On what open intervals contained in -2 <x <6 is the graph of g concave up? Justify your answer.
d). At what value of x on the interval -2 s x s 6 will g achieve its absolute maximum? (Don't forget to also evaluate g at the endpoints) Justify your
answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fceeaf470-6394-4005-8c4a-b2e031df5a26%2Fef6179c0-36ee-466e-8876-10d48dddb9a3%2Fkec3r6a_processed.png&w=3840&q=75)
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