Apply 3 steps of the bisection method starting with the interval [a, b] from part (a). If youdid not complete part (a), use [a, b] = [0, 10].Explain the first step in detail. For the second step, no explanation is required. Copyand complete the following table in your answer. Show at least 4 decimal places in yourcalculations

I'm sorry, but you didn't provide a specific question or function to apply the bisection method to. However, I can explain the steps of the bisection method using a general function f(x).

Let's assume we are using the interval [a, b] = [0, 10] and the function f(x) = x^2 - 4 (a simple function where we know the roots are x = -2 and x = 2).

Step 1: First, we calculate the midpoint c = (a + b)/2 = (0 + 10)/2 = 5. Then, we evaluate the function at a, b, and c: f(a) = f(0) = -4, f(b) = f(10) = 96, and f(c) = f(5) = 21. Since f(a) and f(c) have different signs, we know that the root must be in the interval [a, c] = [0, 5].

Step 2: We repeat the process with the new interval [a, c]. The new midpoint is c = (a + c)/2 = (0 + 5)/2 = 2.5. We evaluate the function at the new points: f(a) = f(0) = -4, f(c) = f(2.5) = 2.25. Again, since f(a) and f(c) have different signs, the root must be in the interval [a, c] = [0, 2.5].

Step 3: We repeat the process again with the new interval [a, c]. The new midpoint is c = (a + c)/2 = (0 + 2.5)/2 = 1.25. We evaluate the function at the new points: f(a) = f(0) = -4, f(c) = f(1.25) = -2.4375. This time, since f(a) and f(c) have the same sign, the root must be in the interval [c, b] = [1.25, 2.5].

Here is the completed table:

Please replace the function and the interval with your specific problem to get the correct results.