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event_available2026-07-15
السؤال
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-1 points TanApCalc9 6.3.013.
Find an approximation of the area of the region R under the graph of the function f on the interval [0,2]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals.
f(x) = x²+9
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-1 points TanApCalc9 6.3.014.
Find an approximation of the area of the region R under the graph of the function f on the interval [-1, 2]. Use n = 6 subintervals. Choose the representative points to be the left endpoints of the subintervals.
f(x)=7-x²
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5.
-1 points TanApCalc9 6.3.015.
Find an approximation of the area of the region R under the graph of the function f on the interval [1, 3]. Use n = 4 subintervals. Choose the representative points to be the right endpoints of the subintervals.
f(x)=
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6.
0-1 points TanApCalc9 6.3.016.
Find an approximation of the area of the region R under the graph of the function f on the interval [0,3]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. (Round your answer to one decimal place.)
f(x) = 5ex
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-1 points TanApCalc9 6.3.006.
Let f(x) 6 -2x.
(a) Sketch the region R under the graph of f on the interval [0,3].
Find its exact area using geometry.
square units
(b) Use a Riemann sum with five subintervals of equal length (n = 5) to approximate the area of R. Choose the representative points to be the right endpoints of the subintervals.
square units
(c) Repeat part (b) with ten subintervals of equal length (n = 10).
square units
(d) Compare the approximations obtained in parts (b) and (c) with the exact area found in part (a). Do the approximations improve with larger n?
Yes
No
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