Tutorial Exercise Find f. f " (t ) = 12/\\t, f(4) = 41, f ' (4 ) = 13 Step 1 Recall that - = t-1/2. 12 Now, since f "(t) = then N /H f' (t ) = . 24t + C. 24vt Step 2 Since 13 = f '(4) we have that 1/2 F ' ( 4 ) = 24 4 4 + C. Therefore, 13 = 18 48 + C -35 -35 = C. Step 3 We have f '(t) = 24t1/2 - 35. Therefore, f(t) = 16(t) + D. 35t 16+3/2 - 35t Step 4 Since 41 = f(4) we have that f(4) = 16 4 3/2 4 - 35 4 4 + D. Therefore, 41 = -12 -12 + D 53 53 = D. Step 5 Putting this together we have that f (t ) = Submit Skip (you cannot come back)