Answer:
- increasing: (π/2, 3π/2)
- decreasing: [0, π/2) ∪ (3π/2, 2π]
- minimum: -16 at x=π/2
- maximum: 16 at x=3π/2
Step-by-step explanation:
If all you want are answers to the questions, a graphing calculator can provide them quickly and easily. (see attached)
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If you need an algebraic solution, you need to find the zeros of the derivative.
f'(x) = -16cos(x)sin(x) -16cos(x) = -16cos(x)(sin(x) +1)
The product is zero where the factors are zero, at x=π/2 and x=3π/2.
These are the turning points, where the function changes from decreasing to increasing and vice versa.
(sin(x)+1) is non-negative everywhere, so the sign of the derivative is the opposite of the sign of the cosine function. This tells us the function f(x) is increasing on the interval (π/2, 3π/2), and decreasing elsewhere (except where the derivative is zero).
The function local extrema will be where the derivative is zero, so at f(π/2) (minimum) and f(3π/2) (maximum). We already know that cos(x) is zero there, so the extremes match those of -16sin(x).
The answer will be a = 1.6 and b = 11 /12
<h3>What is integration?</h3>
Integration is defined as the summing up of the small parts to find the total value.
The solution of the given question is as follows:-
The joint pdf by x and y
1 < x <2
0 < x <1
In point a:
K = 1.6
In point b:
In the original pdf of x
Therefore the answer will be a = 1.6 and b = 11 /12
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Answer:
5
Step-by-step explanation:
Answer: The average person doesn't live 1 million hours. 1 million hour is 114 year. That is much more than 78 years. 1 million ours is too much. You would need 683280 to make it 78 years.
Answer:
Step-by-step explanation: