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Please help with these questions! 6. (06.02 HC) A continuously-decreasing function that is concave down on the interval [3, 7] is represented by the table.
Please help with these questions!
6. (06.02 HC) A continuously-decreasing function that is concave down on the interval [3, 7] is represented by the table. X 3 4.5 5 6.1 7 f(x) 1.946 1.705 1.609 1.361 1.099 Part A: Find the left Reimann sum estimate of ( f(x)dx, based on the subintervals given in the table. (4 points) Part B: Write the midpoint Reimann sum that estimates ( f(x)dx, based on the subintervals given in the table. (4 points) Part C: Determine whether the left Reimann sum estimate is an overestimate or an underestimate, based on the properties of the function. (2 points)7. (06.04 H0) The graph of the function fon the interval 0 s x s 9 consists of three line segments and the point (4, 4), as shown, It is given that I: g(x)dx : .5 and I:g(x)dx :12 -4- o -5 -1012345678910 Part A: Find the value of I: {(XWX. or explain why the integral does not exist (3 points) Part B: Find the value of nguij Show the work that leads to your answer. (3 points) Part C: Find the value of If[2g(x)_f(x)]dx Show the work that leads to your answer, (4 points)Step by Step Solution
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