Answer:
3. 0.594. 4. 0.568. 1. 0.532. 2. 0.332
Do you want a general solution or from 0 <= x < 2pi?
tan^2(2x) - 1 = 0
tan^2(2x) = 1
Take the square root of both sides,
tan(2x) = +/- 1
Two equations:
tan(2x) = 1
tan(2x) = -1
Solve each equation.
tan(2x) = 1, 2x = {pi/4, 5pi/4, 9pi/4, 13pi/4},
x = { pi/8, 5pi/8, 9pi/8, 13pi/8 }
tan(2x) = -1, 2x = { 3pi/4, 7pi/4, 11pi/4, 15pi/4 },
x = { 3pi/8, 7pi/8, 11pi/8, 15pi/8}
So for solutions within [0, 2pi),
x = {pi/8, 3pi/8, 5pi/8, 7pi/8, 9pi/8, 11pi/8, 13pi/8, 15pi/8 }
They are inverses.
The easiest way to solve this is to take the g(x) equation and switch the g(x) with the x. Then solve for your new g(x). Since it looks just like f(x) after doing that, it is an inverse.
Answer: the first part of this question is C, the second part of this question is D
Answer:
μ = 1.3468
Step-by-step explanation:
Given data:
Observations
0.85
0.88
0.88
1.06
1.09
1.12
1.29
1.31
1.42
1.49
1.59
1.62
1.65
1.71
1.76
1.83
sum of the observations = 21.55
now,
the total number of the given data, n = 16
now, the mean is given as:
Mean = (Sum of all the observation) / (Total number of observations)
on substituting the values in the above formula, we get
Mean = 21.55 / 16
or
Mean = 1.3468
Since, it is given that the data follows normal distribution.
thus, the normal mean can be used as the point of estimator (μ)
i.e μ = 1.3468
