- Let A(p², - p), B(q², q), C(r², – r) be the vertices of triangle ABC. A parallelogram AFDE is drawn with D, E, and F on the line segments BC, CA, and AB, respectively. Using calculus, show that the maximum area of such a parallelogram is = |(p+q)(q+r)(p_r) |.
- Let A(p², - p), B(q², q), C(r², – r) be the vertices of triangle ABC. A parallelogram AFDE is drawn with D, E, and F on the line segments BC, CA, and AB, respectively. Using calculus, show that the maximum area of such a parallelogram is = |(p+q)(q+r)(p_r) |.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 36E
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Question
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Let A(p², − p), B(q², q), C(r², – r) be the vertices of triangle
ABC. A parallelogram AFDE is drawn with D, E, and F on the
line segments BC, CA, and AB, respectively. Using calculus,
show that the maximum area of such a parallelogram is
·|(p+q)(q+r)(p−r)|.
o+q)(q.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d538439-ee7e-4081-af6f-e8cafbcd0853%2F3d2deb9f-5f80-4fb3-a202-e49cfc730286%2Fosy3bsj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-
Let A(p², − p), B(q², q), C(r², – r) be the vertices of triangle
ABC. A parallelogram AFDE is drawn with D, E, and F on the
line segments BC, CA, and AB, respectively. Using calculus,
show that the maximum area of such a parallelogram is
·|(p+q)(q+r)(p−r)|.
o+q)(q.
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