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Question 1 1 pts Given a continuous positive function f on an interval [a, b]. the Riemann sum on [a, b] is Ei=1 f(x;)Ax. When
Question 1 1 pts Given a continuous positive function f on an interval [a, b]. the Riemann sum on [a, b] is Ei=1 f(x;)Ax. When we take the limit of this Riemann sum as n - oo, we get the exact area area under the graph of f. True O False Question 2 1 pts For a continuous positive function f on an interval [a, b]. the exact area area under the graph of f on [a, b] is given by the definite integral Sa f (x) dz. True O False Question 3 1 pts We can evaluate So V1 - x2 da by thinking of it in terms of the area of one-half of the unit circle. True False Question 4 1 pts J's (1 + 19-12) da is equal to the area of one quarter of the circle with radius 3. . True False Question 5 1 pts So lz - 5| da = 2 O True False Question 6 1 pts Sof (x) da = - fif(x) dx O True O False Question 7 1 pts Saf (x) dx = 0 True False Question 8 1 pts Sa Cdr = c(a - b), where a, b, and c are constants. O True OFalse Question 9 1 pts If f (z) 2 0 on [a, b]. then So f (x) dx 2 0. O True O False Question 10 1 pts If f (z) 2 9(x) on [a, b]. then Sa f (z) da 2 fe g(x) da. True O False Question 11 1 pts If N S f (x) S M on [a, b]. then N (b - a) S fa f(z) da S M (b - a). where N and M are constants. O True False Question 12 1 pts es foerdas1 True False
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