In the following exercises, estimate the volume of the solid under the surface z = f(x, y) and above the rectangular legion R by using a Riemann sum with m = n = 2 and the sample points to be the lower left corners of the subrectangles of the partition. 6. The values of the function f on the rectangle R = [ 0 , 2 ] × [ 7 , 9 ] are given in the following table. Estimate the double integral ∬ R f ( x , y ) d A by using a Riemann sum with m = n = 2. Select the sample points to be the upper right corners of the subsquares of R.
In the following exercises, estimate the volume of the solid under the surface z = f(x, y) and above the rectangular legion R by using a Riemann sum with m = n = 2 and the sample points to be the lower left corners of the subrectangles of the partition. 6. The values of the function f on the rectangle R = [ 0 , 2 ] × [ 7 , 9 ] are given in the following table. Estimate the double integral ∬ R f ( x , y ) d A by using a Riemann sum with m = n = 2. Select the sample points to be the upper right corners of the subsquares of R.
In the following exercises, estimate the volume of the solid under the surface z= f(x, y) and above the rectangular legion R by using a Riemann sum with m = n = 2 and the sample points to be the lower left corners of the subrectangles of the partition.
6. The values of the function f on the rectangle
R
=
[
0
,
2
]
×
[
7
,
9
]
are given in the following table. Estimate the double integral
∬
R
f
(
x
,
y
)
d
A
by using a Riemann sum with m = n = 2. Select the sample points to be the upper right corners of the subsquares of R.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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