applied calc derivatives HW28(4)
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PynverZnevr1994
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(1 pt) Use the following figure, which shows a graph of f(x) to find each of the indicated integrals.
(Click on the graph for a larger version.)
Note that the first area with vertical, red shading) is 21 and the second (with oblique, black shading) is 7.
A. Sºf(x)dx =
B. Sf(x)dx =
c. f(x)dx =
D. Sa*f(x) dx =
Using the same data, you also decide to estimate how far the object traveled using a right endpoint Riemann sum. So, you sketch the
curve again with a black pen, and draw rectangles whose height is determined by the velocity measurement at the right endpoint of
each one-second interval.
1
1.0
Right endpoint approximation
(B) Using the right endpoint Riemann sum, find approximately how far the object traveled. Your answers must include the correct units.
Total displacement =
Total distance traveled =
(1 pt) Use the graph of f(x) shown below to find the following integrals.
(Click on the graph for a larger version.)
A. S4F(x)dx =
B. If the vertical red shaded area in the graph has area A, estimate: Sf(x)dx =
(Your estimate may be written in terms of A.)
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
110
1
1
1
1
1
1
-5
1.0
1
1
1
1
1
1
-3
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