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# integrated area answers - 1 Given the rate of...

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1. Given the rate of change (derivative) below, evaluate the following: 2 0 -2 -4 -6 4 10 5 x 0 6 15 i 0 - 1 f ( t ) dt = 1 i 2 - 1 f ( t ) dt = 9 i 2 0 f ( t ) dt = 8 i 0 - 4 f ( t ) dt = - 8 i 5 - 4 f ( t ) dt = 14 i 15 0 f ( t ) dt = 32 If F (0) = 8 and F p ( t ) = f ( t ) determine the following: F (2) = 16 F (4) = 27 F ( - 4) = 16 F (15) = 40 With F (0) = 8, sketch F ( t ), the antiderivative of f ( t ), labeling the points (4 , F (4)), ( - 1 , F ( - 1)), (2 , ( F (2)), (5 , F (5)). Make sure to show the concavity of F .

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2. Draw the graph of f ( x ) = 10 x labeling the x -axis from x = 1 to x = 6. Approximate i 6 1 10 x dx using: (a) the Right Riemann Sum with 5 equal partitions. RRS ( n = 5) = p 10 2 P (1) + p 10 3 P (1) + p 10 4 P (1) + p 10 5 P (1) + p 10 6 P (1)
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integrated area answers - 1 Given the rate of...

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