What is the area of the shaded region in the figure?
1 answer:
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Answer:
119
Step-by-step explanation:
Since the terms have a common difference (d) between consecutive terms then the terms are an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
a₁ = 2 and d = 20 - 11 = 11 - 2 = 9, hence
= 2 + (13 × 9) = 2 + 117 = 119
Given:
The graph of a function .
To find:
The interval where .
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, for
and
.
The function between x=0 and x=3.6 lies below the x-axis. So, for
.
Now,
For , the graph of h(x) is above the x-axis. So,
.
For , the graph of h(x) is below the x-axis. So,
.
For , the graph of h(x) is below the x-axis. So,
.
Only for the interval , we get
.
Therefore, the correct option is A.