Determine whether the function is periodic. If it is periodic, find the period.
1 answer:
Answer
a) 2π
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is periodic.
The function is
f(x) = 3*sin(2*x) + 4*cos(3*x)
Which can be seen in the picture below
We can notice that f(x) is periodic. It has periodic amplitudes, and the function has a period T = 6.283 ≈ 2π
The maximum and minimum values are
Max = 6.695
Min = -6.695
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Answer:
Step-by-step explanation:
Given that there are 3 sets such that there are 100 elements in A1, 1000 in A2, and 10,000 in A3
a) If A1 ⊆ A2 and A2 ⊆ A3
then union will contain the same number of elements as that of A3
i.e.
b) If the sets are pairwise disjoint.
union will contain the sum of elements of each set
c) If there are two elements common to each pair of sets and one element in all three sets
We subtract common elements pairwise and add common element in 3
i.e.