Four coins are tossed several times. Which of the following represents the outcome on a coin that may not be fair?
1 answer:
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Answer:
12.123
Step-by-step explanation:
You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.
<h3>Riemann sum</h3>When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.
The area we want is the sum ...
f(0) +f(1) +f(2) +f(3)
As the attachment shows, that sum is ...
area ≈ 12.123 . . . square units
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<em>Additional comment</em>
The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.
Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.
For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.
For this case, the dividend is given by:
We note that the following numbers:
2, 10, 1, 5
They are the coefficients of the polynomial and they are in the upper part of the division.
The number -5 is the opposite value of the divisor constant.
Therefore, the divisor is given by:
x + 5
Answer:
The divisor is:
x + 5
We note that the following numbers:
2, 10, 1, 5
They are the coefficients of the polynomial and they are in the upper part of the division.
The number -5 is the opposite value of the divisor constant.
Therefore, the divisor is given by:
x + 5
Answer:
The divisor is:
x + 5
Step-by-step explanation:
The scientific notation:
<em>1 ≤ a < 10</em> and <em>k -</em><em> any integer number</em>
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