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1. (06.05 MC) The graph of the function f on the interval Os x 9 consists of two line segments and one semicircle, as shown
1. (06.05 MC) The graph of the function f on the interval Os x 9 consists of two line segments and one semicircle, as shown in the figure below. What is the value of So f(x) dx ? (6 points) 4 3 2 X -1 -2 1 0 1 2 3 4 5 6 7 8 9 10 3.5+ 271 O 5.5 + 2n O -0.5+ 2n 7.5+ 2n2. (06.02 MC) A graph consists of the line y = 4 for 1s xs 5 and y = -2 for -3s x's 1. Find the accumulation of change under the curve from x = -3 to x = 5 using geometric formulas. (6 points) O -8 square units 16 square units 24 square units 8 square units3. [06.05 HE) 111e graph of the function fon the interval 0 s x s 9 consists of three line segments and the point (4. at); as shown in the gure. It is given that Kanga- = _a. and I:g(,}m.14_ Part A: Find the value of Hamr or explain why the integral does not exist. (3 points) Part B: Find the value of angm Show the work that leads to your answer. (3 points} Part 1:: Find the value of Ewan[(1)] d1. Show the work that leads to your answer. (4 points) 4. (06.04 MC) Let h(x) = ["(-4(t -2)2 +8) at. Where does h(x) have a relative minimum? (6 points) O 2 3.414 O 0.586 Oh has no relative minimum 5. (06.03 MC) For [ f( x)dx = lim [f(x; )Ax,, determine the value of Ax; (6 points) O SIN O 6. (06.05 LC) Given [ f(x)dx =7 and [, g(x)dx = -4, what is [[g(x)-f(x)]dx? (6 points) O -11 ()-3 O 3 117. (06.03 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 (7(x)ax, based on the subintervals given in the table. (4 points) Part B: Write the midpoint Reimann sum that estimates ( 7(x)ox, 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)
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