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Use the Midpoint Rule With n=4n = 4 To Approximate the Area of the Region Bounded by the the Area

Question 34

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Use the Midpoint Rule with n=4n = 4 to approximate the area of the region bounded by the graph of and the -axis over the interval. Sketch the region. f(x) =(x24) 2,[2,2]f ( x ) = \left( x ^ { 2 } - 4 \right) ^ { 2 } , [ - 2,2 ]


A) The approximate area is: 30.25\approx 30.25  Use the Midpoint Rule with  n = 4  to approximate the area of the region bounded by the graph of and the -axis over the interval. Sketch the region.  f ( x )  = \left( x ^ { 2 } - 4 \right)  ^ { 2 } , [ - 2,2 ]  A) The approximate area is:  \approx 30.25    B) The approximate area is:  \approx 24.25    C) The approximate area is:  \approx 34.25    D) The approximate area is:  \approx 14.25    E) The approximate area is:  \approx 34.99
B) The approximate area is: 24.25\approx 24.25  Use the Midpoint Rule with  n = 4  to approximate the area of the region bounded by the graph of and the -axis over the interval. Sketch the region.  f ( x )  = \left( x ^ { 2 } - 4 \right)  ^ { 2 } , [ - 2,2 ]  A) The approximate area is:  \approx 30.25    B) The approximate area is:  \approx 24.25    C) The approximate area is:  \approx 34.25    D) The approximate area is:  \approx 14.25    E) The approximate area is:  \approx 34.99
C) The approximate area is: 34.25\approx 34.25  Use the Midpoint Rule with  n = 4  to approximate the area of the region bounded by the graph of and the -axis over the interval. Sketch the region.  f ( x )  = \left( x ^ { 2 } - 4 \right)  ^ { 2 } , [ - 2,2 ]  A) The approximate area is:  \approx 30.25    B) The approximate area is:  \approx 24.25    C) The approximate area is:  \approx 34.25    D) The approximate area is:  \approx 14.25    E) The approximate area is:  \approx 34.99
D) The approximate area is: 14.25\approx 14.25  Use the Midpoint Rule with  n = 4  to approximate the area of the region bounded by the graph of and the -axis over the interval. Sketch the region.  f ( x )  = \left( x ^ { 2 } - 4 \right)  ^ { 2 } , [ - 2,2 ]  A) The approximate area is:  \approx 30.25    B) The approximate area is:  \approx 24.25    C) The approximate area is:  \approx 34.25    D) The approximate area is:  \approx 14.25    E) The approximate area is:  \approx 34.99
E) The approximate area is: 34.99\approx 34.99  Use the Midpoint Rule with  n = 4  to approximate the area of the region bounded by the graph of and the -axis over the interval. Sketch the region.  f ( x )  = \left( x ^ { 2 } - 4 \right)  ^ { 2 } , [ - 2,2 ]  A) The approximate area is:  \approx 30.25    B) The approximate area is:  \approx 24.25    C) The approximate area is:  \approx 34.25    D) The approximate area is:  \approx 14.25    E) The approximate area is:  \approx 34.99

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