A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly and at a constant rate. After 8 88 mon
1 answer:
Answer:
Equation for the relationship between the weight and number of months -
Step-by-step explanation:
Given
The initial weight of young sumo wrestler just before he decide to gain more weight is equal to kilo grams.
The new weight of young sumo wrestler after eight months is equal to kilo grams.
Weight gained by sumo wrestler during the period of eight months
The rate at which weight was gained
kilo grams per month
Let W(t) depict the weight after 8 months
t depict the time period in moths
So the equation would be
Where
Initial weight before 8 months
time in months
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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.
