Evaluate 4 − 0 . 2 5 g + 0 . 5 h 4−0.25g+0.5h4, minus, 0, point, 25, g, plus, 0, point, 5, h when g = 1 0 g=10g, equals, 10 and
2 answers:
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The slope intercept form of the line is given by:
The point-slope form is given by:
Where,
m: slope of the line
b: cutting point with the y axis
(xo, yo): ordered pair that belongs to the line
For line A:
The slope is
The cut point with the y axis is:
Substituting values we have:
For line B:
The slope is given by:
Then, the equation of the line is:
Answer:
Option A
The point-slope form is given by:
Where,
m: slope of the line
b: cutting point with the y axis
(xo, yo): ordered pair that belongs to the line
For line A:
The slope is
The cut point with the y axis is:
Substituting values we have:
For line B:
The slope is given by:
Then, the equation of the line is:
Answer:
Option A
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.
