Let f(x) = 4-x^2Consider the region bounded by the graph of f, the x-axis, and the line x = 2. Divide the interval [0, 2] into 8 equal subintervals. Draw a picture to help answer the following. a) Ob...

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Let f(x) = 4-x^2Consider the region bounded by the graph of f, the x-axis, and the line x = 2. Divide the interval [0, 2] into 8 equal subintervals. Draw a picture to help answer the following. a) Ob...

Let f(x) = 4-x^2Consider the region bounded by the graph of f, the x-axis, and the

line x = 2. Divide the interval [0, 2] into 8 equal subintervals. Draw a picture to help answer

the following.

a) Obtain a lower estimate for the area of the region by using the left-hand endpoint of each

subinterval.

b) Obtain an upper estimate for the area of the region by using the right-hand endpoint of

each subinterval.

c) Find an approximation for the area that is better than either of the answers obtained in

parts (a) and (b).

d) Without calculating the exact area, determine whether the answer in part (c) is larger or

smaller than the exact area. Justify your answ

math calculus

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Answer 1

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Let f(x) = 4-x^2Consider the region bounded by the graph of f, the x-axis, and the line x = 2. Divide the interval [0, 2] into 8 equal subintervals. Draw a picture to help answer the following. a) Ob...

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