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Home > AP Courses and Exams > Course Home Pages > AP Calculus Question of the Month: July

AP Calculus Question of the Month: July

by Lin McMullin
Educational Consultant and Writer
Niantic, Connecticut

Calculus with Compass and Straight Edge?
Let's go back to the "old days" for this month's problem. Given the graph of a parabola (of the form  , where a, b, and c are unknown) on a scaled grid:

(A) Construct  with compass and straight edge.
(B) Let  be any point on the parabola. Use this point to construct a and  with compass and straight edge.


Hint: Think symmetric difference quotient with h = 1.


Do all four parts of the question before checking the answers and explanation!



Lin McMullin, an educational consultant and writer with extensive experience teaching AP Calculus, lives in Niantic, Connecticut. As a College Board consultant he has presented AP Calculus institutes and workshops in the United States and Europe, and is a Table Leader at the Reading. His work as a writer includes co-authorship of the popular D&S Marketing Systems review books for the AP Calculus Exam and Teaching AP® Calculus, a book especially for AP Calculus teachers.





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