Consider the following. y 5 arctan(x), [0, 3] (a) Sketch the graph of the function, highlighting the part indicated by the given interval. y 2 -2 2 2 4 -2 -6 -6 y 2 4 -2 2 -2 2 -2 -2 -6 -6 (b) Write a definite integral that represents the arc length of the curve over the indicated interval and observe that the integral cannot be evaluated with the techniques studied so far. (() 3 25 1 + (1+x2)2 xp (c) Use the integration capabilities of a graphing utility to approximate the arc length. (Round your answer to three decimal places.) 17.490 Need Help? Read It Watch It Talk to a Tutor
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.
The question C.
![Consider the following.
y 5 arctan(x), [0, 3]
(a) Sketch the graph of the function, highlighting the part indicated by the given interval.
y
2
-2
2
2
4
-2
-6
-6
y
2
4
-2
2
-2
2
-2
-2
-6
-6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3f9b14d-4809-4e51-931a-dcf8b6d1a7d7%2Fa1ce0915-6b6e-421f-94b1-5c6ac39a3abe%2Fpwn14f.png&w=3840&q=75)
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