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Unformatted text preview: 23 − 16 = 7 hundred entries (d) P′( t ) = 0 when t = 9.183503 and t = 10.816497.
t
P (t )
8
0
9.183503 5.088662
10.816497 2.911338
12
8
Entries are being processed most quickly at time t = 12. 1 : answer ⎧ 1 : trapezoidal sum
⎪
3 : ⎨ 1 : approximation
⎪ 1 : meaning
⎩ 2: { 1 : integral
1 : answer ⎧ 1 : considers P′( t ) = 0
⎪
3 : ⎨ 1 : identifies candidates
⎪ 1 : answer with justification
⎩ © 2010 The College Board.
Visit the College Board on the Web: www.collegeboard.com. © 2010 The College Board.
Visit the College Board on the Web: www.collegeboard.com. © 2010 The College Board.
Visit the College Board on the Web: www.collegeboard.com. © 2010 The College Board.
Visit the College Board on the Web: www.collegeboard.com. © 2010 The College Board.
Visit the College Board on the Web: www.collegeboard.com. © 2010 The College Board.
Visit the College Board on the Web: www.collegeboard.com. © 2010 The College Board.
Visit the College Board on the Web: www.collegeboard.com. AP® CALCULUS BC
2010 SCORING COMMENTARY
Question 2
Overview This problem involved a zoo’s contest to name a baby elephant. Students were presented with a table of values
indicating the number of entries E ( t ) , measured in hundreds, received in a special box and recorded at various
times t during an eighthour period. Part (a) asked for an estimate of the rate of deposit of entries into the box at
time t = 6. Students needed to recognize this rate to be the derivative value E ′( 6 ) . Since t = 6 falls between the
time values specified in the table, students needed to calculate the average rate of change of E across the smallest
18
time subinterval from the table that brackets t = 6. Part (b) asked for an approximation to
E ( t...
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This note was uploaded on 08/22/2013 for the course CALCULUS AP taught by Professor Staff during the Fall '11 term at Lakota West High School.
 Fall '11
 staff
 Calculus

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