Sample Problems Calculus Bowl 2011 Sponsored by Colorado Youth Education Connection, Northrop Grumman, and Aurora Public Schools For more information, see http://coyec.org/calcbowl

Problem 1 (d) Derivative of constant = 0

Problem 2 (d)

Problem 3 (a)

Problem 4 4cos(πx-2)+1=4cos[π(x+P)-2]+1 P=2

Problem 5 (c)

Problem 6 (d)

Problem 7 (d) Second derivative

Problem 8 (b) y = ln x

Problem 9 (e)

Problem 10 P(x) (2,2) (-1, -1) q(-1) = p(-2) = 0

Problem 11 When did you have $3000 in your account? Or When did you earn $2000 in interest? (d)

Problem 12 (c)

Problem 13 (c) y y=p(x)

Problem 14 g(x) (2,1) (e)

Problem 15

Problem 16 2 cos(0.25θ) = 2 cos[0.25(θ+P)] (d)

Problem 17 (c)

Problem 18 c)

Problem 19 (a)

Problem 20

Problem 21

Problem 22 y x

Problem 23

Problem 24 y

Problem 25

Problem 26

Problem 27 y

Problem 28

Problem 29

Problem 30 y

Problem 31