Answer:
n = 29 iterations would be enough to obtain a root of that is at most away from the correct solution.
Step-by-step explanation:
You can use this formula which relates the number of iterations, n, required by the bisection method to converge to within an absolute error tolerance of ε starting from the initial interval (a, b).
We know
a = -2, b = 1 and ε = so
Thus, n = 29 iterations would be enough to obtain a root of that is at most away from the correct solution.
<u>You can prove this result by doing the computation as follows:</u>
From the information given we know:
This is the algorithm for the Bisection method:
- Find two numbers <em>a</em> and <em>b</em> at which <em>f</em> has different signs.
- Define
- If then accept c as the root and stop
- If then set <em>c </em>as the new<em> b</em>. Otherwise, set <em>c </em>as the new <em>a</em>. Return to step 1.
We know that and so we take and then
Because we set as the new <em>b.</em>
The bisection algorithm is detailed in the following table.
After the 29 steps we have that hence the required root approximation is c = -0.50
Answer:
(2, 3) The 2 is on the x and the 3 is on the y. So go across on the x, stop at 2. The going up (y) stop at the 5. See where the 2 and 5 meet and that will be R.
PLZZZ GIVE ME BRAINLIEST!
Answer:
The area of the figure is 61.24 cm
Step-by-step explanation:
The area for the parallelogram is determined by base x height, so 7 x 6 = 42.
The area of a circle is r², with r being the radius, so that means the circle area is 38.48, but because its a semicircle, its half of that, so the area is 19.24.
42 + 19.24 = 61.24
Answer:
answer is 25-(38/8) that is 20.25 pages or 81/4 pages