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. 12. The solid lying under the plane z = y + 4 the rectangular region R = [ 0 , 2 ] × [ 0 , 4 ] in the following graph. Evaluate the ∬ R f ( x , y ) d A . where f ( x , y ) = y + 4 . by finding the volume of the corresponding solid.
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. 12. The solid lying under the plane z = y + 4 the rectangular region R = [ 0 , 2 ] × [ 0 , 4 ] in the following graph. Evaluate the ∬ R f ( x , y ) d A . where f ( x , y ) = y + 4 . by finding the volume of the corresponding solid.
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.
12. The solid lying under the plane
z
=
y
+
4
the rectangular region
R
=
[
0
,
2
]
×
[
0
,
4
]
in the following graph. Evaluate the
∬
R
f
(
x
,
y
)
d
A
. where
f
(
x
,
y
)
=
y
+
4
. by finding the volume of the corresponding solid.
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