Let f(x) be a function on the interval [a,b]. If we divided our interval into n equally sized intervals and took the sample at left endpoints f(xi), then an approximation for the average value would be given by the formula:
For each problem, find the average value of the function over the given interval.
Problem 1 :
f(x) = 2x2 – 8x + 5; [0, 3]
Problem 2 :
Problem 3 :
Problem 4 :
f(x) = -x + 1; [-4, 0]
Problem 5 :
f(x) = 2x + 1; [-4, 0]
Problem 6 :
f(x) = 2x + 1; [-2, 3]
1) -1
2) 3.34
3) 4 ln 2
4) 3
5) -3
6) 2
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM