Find the volume to the nearest cm3 20 cm 35 cm 12 cm
1 answer:
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Answer:
y=2x+8
Step-by-step explanation:
Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.
(1,10) and (2,12)
To find the slope, we do:
Which equals to 2
So right now we can say that the equation is:
y=2x+b
In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:
10=2(1)+b
10=2+b
8=b
So now we can say that the equation is:
y=2x+8
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.
