Question: fA continuously-decreasing function that is concave down on the interval [3, 7] is represented by the table. 3 4.5 5 6.1 7 f(x) 1.946 1.705

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\fA continuously-decreasing function that is concave down on the interval [3, 7] is represented by the table. 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 ( r(xjo, based on the subintervals given in the table. (4 points) Part B: Write the midpoint Reimann sum that estimates ['r(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)Question 7 (Essay Worth 10 points) (06.05 HC) The graph of the function f on the interval 0 s x's 9 consists of three line segments and the point (4, -4), as shown. It is given that [ g()ex = -6 and [" g(x)ax =12. ON X 21 0 1 2 3 4 5 6 7 8 9 10 Part A: Find the value of [ f(x) dix, or explain why the integral does not exist. (3 points) Part B: Find the value of [ g(x)dx. Show the work that leads to your answer. (3 points) Part C: Find the value of [: [2g(x)-f(x)Jax. Show the work that leads to your answer. (4 points)
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