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(a) Suppose that a > and that the parabola with equation y = ax? +2 has vertex V. The parabola intersects the line with equation y = -x+ 4a at points B and C, as shown. If the area of AVBC is 2, determine the value В of a.

(a) Suppose that a > and that the parabola with equation y = ax? +2 has vertex V. The parabola intersects the line with equation y = -x+ 4a at points B and C, as shown. If the area of AVBC is 2, determine the value В of a.

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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Needed to be solve part a correctly in 10 minutes and get the thumbs up please show neat and clean work
(a) Suppose that a > and that the parabola with equation y = ax? +2 has vertex V. The parabola intersects the line with equation y = -x+ 4a at points B and C, as shown. If the area of AVBC is 2, determine the value В of a. (b) Consider the following statement: There is a triangle that is not equilateral whose side lengths form a geometric sequence, and the measures of whose angles form an arithmetic sequence. Show that this statement is true by finding such a triangle or prove that it is false by demonstrating that there cannot be such a triangle.
Transcribed Image Text:(a) Suppose that a > and that the parabola with equation y = ax? +2 has vertex V. The parabola intersects the line with equation y = -x+ 4a at points B and C, as shown. If the area of AVBC is 2, determine the value В of a. (b) Consider the following statement: There is a triangle that is not equilateral whose side lengths form a geometric sequence, and the measures of whose angles form an arithmetic sequence. Show that this statement is true by finding such a triangle or prove that it is false by demonstrating that there cannot be such a triangle.
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