Question: please help me with question 33 For each function f and interval [a,b] in Exercises 2733, use the given approximation method to approximate the signed
please help me with question 33
For each function f and interval [a,b] in Exercises 2733, use the given approximation method to approximate the signed area between the graph of f and the x-axis on [a,b]. Determine whether each of your approximations is likely to be an over-approximation or an under-approximation of the actual area. 27. f(x)=x2,[a,b]=[0,3], left sum with (a) n=3 (b) n=6 28. f(x)=sinx,[a,b]=[0,],n=3, with (a) trapezoid sum (b) upper sum 29. f(x)=x1,[a,b]=[2,3],n=4, with (a) left sum (b) right sum 30. f(x)=12x,[a,b]=[3,1],n=8, with (a) left sum (b) right sum 31. f(x)=ex,[a,b]=[1,4],n=6, with (a) midpoint sum (b) trapezoid sum 32. f(x)=9x2,[a,b]=[0,5],n=5, with (a) midpoint sum (b) lower sum 33. f(x)=(x2)2+1,[a,b]=[1,3], lower sum with (a) n=2 (b) n=3 (c) n=4
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