Sample Responses Q2.pdf

ap11-calculus-ab-q2.pdf
Preview of Sample Responses Q2
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Summary

AP Calculus AB 2011 scoring guidelines for Question 2 involve a pot of tea cooling, modeled by a differentiable function H, with given temperatures at selected times.

(a) The rate of temperature change at time t = 3.5 is approximated as -2.667 degrees Celsius per minute.

(b) The integral of H(t) from 0 to 10 represents the average temperature of the tea over 10 minutes, estimated using a trapezoidal sum as 52.95 degrees Celsius.

(c) The derivative of the integral of H(t) from 0 to 10 represents the temperature drop, which is 23 degrees Celsius.

(d) At time t = 10, the biscuits are 8.817 degrees Celsius cooler than the tea, with the biscuits' temperature modeled by a differentiable function B.

Description

AP Calculus AB 2011 scoring guidelines for Question 2 involve a pot of tea cooling, modeled by a differentiable function H, with given temperatures at selected...

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  • File Format: PDF
  • File Size: 812 KB
  • Pages: 8
  • Language: EN
  • Author: ETS
  • Total Downloads: 115
  • Last Updated: 4 hours ago

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