Question
In: Math
Describe, in plain language, how the Riemann Sum method approximates the area under a curve.
Describe, in plain language, how the Riemann Sum method approximates the area under a curve.
Solutions
Expert Solution
Note:
As we keep on decreasing width, the no. of rectangles increases and
thus, for a very small width of dx, the no. of rectangles increases
so much that the approximation almost gives the actual value.
That's why, the definite integral method of calculating area is
simply approximating it with fine accuracy that gives the actual
value of the area under the curve.
milcah answered 2 years agoRelated Solutions
How would you explain what a Riemann Sum is to a classmate?
How would you explain what a Riemann Sum is to a classmate?
Use the Left and Right Riemann Sums with 3 rectangles to estimate the area under the...
Use the Left and Right Riemann Sums with 3 rectangles to
estimate the area under the curve of y=lnx on the interval of
[2,10] Round your answers to the second decimal place.
In a normal distribution curve, what percentage of the area under the curve is contained in...
In a normal distribution curve, what percentage of the area
under the curve is contained in the region, on one side of the
mean, between 1 standard deviation from the mean and 2 standard
deviations from the mean?
A. 95%
B. 68.27%
C. 50%
D. 27.24%%
E. 13.59%
Approximate the area under the curve y=x^3+4 from x=2 to x=5 using a left sum with...
Approximate the area under the curve y=x^3+4 from x=2 to x=5
using a left sum with 6 subdivisions.
The area is approximately
Consider the value of t such that 0.025 of the area under the curve is to...
Consider the value of t such that 0.025 of the area under the
curve is to the left of t.
Step 2 of 2: Assuming the degrees of freedom equals 26,
determine the t value. Round your answer to three decimal
places
Consider the value of t such that 0.01 of the area under the curve is to...
Consider the value of t such that 0.01 of the area under the
curve is to the left of t.
Step 2 of 2 :
Assuming the degrees of freedom equals 10, select the t value
from the t table.
Consider the value of t such that 0.1 of the area under the curve is to...
Consider the value of t such that 0.1 of the area under the
curve is to the right of t.
Step 2 of 2 :
Assuming the degrees of freedom equals 13, select the t value
from the t table.
Consider the value of t such that 0.025 of the area under the curve is to...
Consider the value of t such that 0.025 of the area under the
curve is to the left of t. Step 2 of 2 : Assuming the degrees of
freedom equals 19, select the t value from the t table.
Consider the value of t such that 0.1 of the area under the curve is to...
Consider the value of t such that 0.1 of the area under the
curve is to the left of t.
Step 2 of 2: Assuming the degrees of freedom equals 11,
determine the t value. Round your answer to three decimal
places.
Consider the value of t such that 0.05 of the area under the curve is to...
Consider the value of t such that 0.05 of the area under the
curve is to the left of t. Step 2 of 2: Assuming the degrees of
freedom equals 25, select the t value from the t table.
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