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## Calculus Bowl 2011

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**Calculus Bowl 2011**Sample Problems 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**y y=p(x) (c)**Problem 14**g(x) (2,1) (e)**Problem 16**2 cos(0.25θ) = 2 cos[0.25(θ+P)] (d)**Problem 17**(c)**Problem 18**c)**Problem 19**(a)**Problem 22**y x