1. Use a finite approximation to estimate the area under the graph of the given
ID: 2854749 • Letter: 1
Question
1. Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.
f(x) = x2 between x = 4 and x = 8 using an upper sum with four rectangles of equal width.
A. 174
B. 165
C. 126
D. 149
2. Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.
f(x) = x2 - 5 on [-3, 7] divided into 5 subintervals
A. 7
B. 12
C. 11
D. 35
Explanation / Answer
1. c
2. for the second exercise a got an estimate of approx of 105, but this is not an option. Please check the options.
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