Answer:
B
C
Step-by-step explanation:
If sin x = .52 and cos x = .85, what is cot x?
1 answer:
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Answer:
A. x = 11/16
Step-by-step explanation:
For the purpose here, it is convenient to rearrange the equation to f(x) -g(x) = 0. We know the root will be in the interval [0, 1] because (f-g)(0) = -3 and (f-g)(1) = +3. At each iteration, we evaluate (f-g)(x) at the midpoint of the interval to see which of the interval end points can be moved and still bracket the root.
Using the bisection method starting with the interval [0, 1] we find f(1/2)-g(1/2) < 0, so we can move the interval limits to [1/2, 1].
For the next iteration, we find f(3/4) -g(3/4) > 0, so we can move the interval limits to [1/2, 3/4].
For the third iteration, we find f(5/8) -g(5/8) < 0, so we can move the interval limits to [5/8, 3/4].
Then the root is approximately the middle of that interval:
x ≈ (5/8 +3/4)/2 = 11/16
_____
This value of x is 0.6875. The root is closer to 0.639802004233. The bisection method takes about 3 iterations for each decimal place of accuracy. Other methods can nearly double the number of accurate decimal places on each iteration.
Answer:
The Han dynasty last was, 215 years
Step-by-step explanation:
Given statement: The Han dynasty lasted from 206 B.C. to 9 A.D.
To find how many years did the dynasty last.
B.C. represents Before Christ
A.D. represents After Death
To find the difference between two dates,
- When the endings are the same you subtract
- When they are different you add
You can see that the endings in the given 206 B.C. and 9 A.D. are B.C. and A.D. are different.
Just add these 206 and 9 we get;
years
Therefore, 215 years did the Han dynasty last.