For f(x) = 12/(1+x²), and subinterval width 4, you are to evaluate f(1), f(5), and f(9) and combine them according to the rule
... Integral ≈ (4/3)(f(1) + 4·f(5) + f(9)) = (4/3)(6.0000 + 4·0.4615 + 0.1463) ≈ 10.66
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Simpson's rule has you combine values of f(x) with coefficients 1, 4, 2, 4, ..., 2, 4, 1, where those values are evenly spaced at the edges of an even number of subintervals. Since we have only 3 values to combine, there are no terms that have a coefficient of 2. The entire sum is multiplied by 1/3 the subinterval width.
Answer:
Step-by-step explanation:
Formula for straight lines:
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
Substitute b into original formula
14.80+5%=15.54 and to get to that answer we have to add 8.41 and 7.13 and you will get 15.54.
First <u>rewrite the equation</u> in slope intercept form
slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]
<u>comparing</u> with y = mx + b
- slope: -1/4 and y-intercept: 4
x-intercept: ( then y will be 0 )
In order to graph the line
- plot x = 16 on the x-axis coordinate: (16, 0)
- plot y = 4 on the y-axis coordinate: (0, 4)
- Then using a scale/ruler draw a straight line through this points.
Graph: