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..rl LTE (E) B $3.amazonaws.com Private Short Response: All solutions to problems must be justied by work that clearly shows a progression to the answer. If the work cannot be read, is unorganized, is not corred, or is missing, then the problem will receive little or no credit, regardless of whether the solution is correct. Simplify all answers completely. 1. (Section 3.1) Find the derivative of the following function. Simplify your answer. 5 15 1 f(x)=x +Bx4x2 2. (Section 3.2) Find the derivative of the following function. Simplify your answer. 7+8x F(x)=54x 3. (Section 3.2) Suppose that f(2) = 5, 9(2) = 3,f'(2) = 4, and g'(2) = 2. Find h'(2), where HI) = for) 'y(1) 4. (Section 3.4) The displacement of a particle on a vibrating string is given by the equation 1 . 5(t) = 6 + Esm(6t) where s is measured in centimeters and t in seconds. a) Find the velocity of the particle after t seconds. b) Find the velocity of the particle at t = 11;. Give an exact answer. Give correct units