CBSE Class 12-science Answered
The maximum and the minimum values, if any of the following functions
f (x) = sin 3x + 4,
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
We have,
f (x) = sin 3x + 4 for all
Now, for all
for all
for all
for all
Thus, the maximum value of f (x) is 5 and the minimum value is 3.
Now, f (x) = 5
sin 3x + 4 = 5 sin 3x = 1 3x = x =
So, f (x) attains its maximum values 5 at
Also, f(x) = 3 sin 3x + 4 = 3 sin 3x = –1
3x = x =
So, f (x) attains the minimum value 3 at
x =
Answered by | 04 Jun, 2014, 03:23: PM
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