MATH 522 Midterm: MATH 522 Louisville Exam 1 150212
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Circle the name of every student who wrote a correct derivative. Dani writes df dt df dt df dt df dt. A + 1 t a+1 + 5 (b) four students see this derivative, where a > 1 is a constant: Circle the name of every student who wrote a correct antiderivative. dg dt. Chris writes g(t) = aeat + at a 1 t a+1 t a+1 + 5. A + 1: (12 points) the table below gives the height of a falling object (h, in meters) at various times (t, in seconds). h (m) 1. 2 (a) fill in the fourth value on the second row of this table. 9. 20 (b) estimate dh dt (cid:12) (cid:12) (cid:12)t=1. Be as precise as the tabulated data allow. (c) find a so that dh dt (cid:12) (cid:12) (cid:12)t=a. = 8. 10 m/s: (12 points) this graph shows a derivative, df dt questions below the graph. In each case circle one of the three words.
