The position of a particle after t seconds is given by r(t) = (t2,4t, 4 ln t) for t > 1. a) Calculate the position, velocity, and acceleration of the particle when t = 2. b) Calculate the total distance traveled by the particle from t = 1 to t = e². c) Is the object speeding up or slowing down at t = e² seconds?

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.   A person's lean body weight L is the amount he or she would weigh if all body fat were magically to disappear. One text gives the "equation that practitioners can use most feasibly in the field to predict lean body weight in young adult males." The equation is found below. L = 98.42 + 1.08W − 4.14A Here L is lean body weight in pounds, W is weight in pounds, and A is abdominal circumference in inches. Find the approximate lean body weight of a young adult male who weighs 181 pounds and has an abdominal circumference of 41 inches. What is the weight of his body fat? What is his body fat percent?

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