Consider a college student who works from 7 P.M. to 11 P.M. assembling mechanical components. The number N of components assembled after t hours is given by th what time is the student assembling components at the greatest rate? 13t? N = 0 sts 4 4 + t2' STEP 1: Begin by finding the first derivative of N. 104t N'(t) = (4 + P)? STEP 2: Find the second derivative of N. 104(4 – 32) (?+4)3 N"(t) = STEP 3: Solve for t by setting the second derivative of N equal to zero. 2 STEP 4: Find the third derivative of N. 624(? – 4) (P+4)4 N"(t) = STEP 5: Substitute the value for t from Step (3) into the equation for the third derivative of N. (Round your answer to two decimal places.) N"" = 4.02 STEP 6: State the sign of N'(t). N'(t)

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