Solved: In Exercises 3142, complete the following for the

Chapter 10, Problem 10.1.1.292

(choose chapter or problem)

In Exercises 31–42, complete the following for the indicated interval \([a, b]\).

(a) Verify the given function is nonnegative.

(b) Use a calculator to find the LRAM, RRAM, and average approximations for the area under the graph of the function from \(x=a \text { to } x=b\) with 10, 20, 50, and 100 approximating rectangles. (You may want to use the programs in Exercises 29 and 30.)

(c) Compare the average area estimate in part (b) using 100 approximating rectangles with the calculator NINT area estimate, if your calculator has this feature.

\(f(x)=\sqrt{x+2} ;[0,4]\)

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