Answer:
Step-by-step explanation:
using the given integral
calculate: Δx = (12-0) / 8 = 3/2
Xo = 0, f(x) =
X1 = 3/2 , X2 = 3, X3 = 9/2, X4 = 6, X5 = 15/2, X6 = 9, X7 = 21/2, X8 = 12
Inputting the given values into the Trapezoid rule, midpoint rule and Simpson's rule to approximate the given integral with the specified value of n = 8
Answer:
x = 12 and x = -6
Step-by-step explanation:
First subtract 6x on both sides to get a 2nd degree polynomial equal to zero:
To complete the square, the formula is to divide 'b' by 2 and square the result. The general form for a 2nd degree polynomial of the variable 'x' is as follows:
For your case, b = 6. Therefore, the term that must be added and subtracted to our equation is:
Add and subtract 9 to our equation to get:
The first three terms form a perfect square, we have:
What multiplies to equal 9 but adds to equal -6? That would be -3 and -3. Therefore:
Add 81 to both sides to get:
We want to take the square root, but recall a square root has a positive and negative branch. Therefore we have two solutions: