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et A(p², - p), B(q, q), C(², - r) be the vertices of triangl BC. A parallelogram AFDE is drawn with D, E, and F on th ine segments BC, CA, and AB, respectively. Using calculus how that the maximum area of such a parallelogram

et A(p², - p), B(q, q), C(², - r) be the vertices of triangl BC. A parallelogram AFDE is drawn with D, E, and F on th ine segments BC, CA, and AB, respectively. Using calculus how that the maximum area of such a parallelogram

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A(p²,- p), B(q, q), C(², - 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).
Transcribed Image Text:Let A(p²,- p), B(q, q), C(², - 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).
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