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(28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac- celeration functions, a(t) for t > 0 are:

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(28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac- celeration functions, a(t) for t > 0 are: s(t) = 13-6+ +9t, v(t) = 32 - 12t+9, a(t) = 6t -12. (a) Determine when the particle is moving to the left. (b) When is the particle speeding up? /3 (29) Evaluate the integral: - esc' adr. (30) Find the derivative of the integral function: g(x) = / sec 3t tan 3tdt. Leave your answer unsimplified. (31) Use Newton's Method to make the second approximation ~, to the solution of 2et = er. Take $1 = 1

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