Application of derivatives Questions and Answers

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Exercise Divide the state into ten subintervals as follows Starting from the top draw horizontal line segments across the width of the state every 1 cm down the state Next measure the widths of each of these line segments in centimeters and label each segment with its width Next use Simpson s Method with n 10 to estimate the total area of the state of Illinois Use the fact that Illinois has a maximum width of 210 miles to determine the scale of the image below

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r 2 sin i 2 cos j 3rk 12 136 The position of a particle is defined by seconds Determine the magnitudes of the velocity and acceleration at any instant m where t is in

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olve the equation x 3 2 2x 3 6

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3 Evaluate t 1 In t dt 2 1 1 In 1 1 1 C a t 1 n 1 1 C 4 d b 2 1 In 1 P 1 t t 1 In t 4 t C