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Let a > b > 0. The area under a parabola y = ax – bx² between its two roots, x = 0 and x = a/b, is given by . Determine the a and b such that the parabola 662 passes through the point (1, 1) and this area is minimised. With a precision of up to 3 decimal places, e.g. "4.598" or "6.667", calculate: • the value of a: • the value of b:

Let a > b > 0. The area under a parabola y = ax – bx² between its two roots, x = 0 and x = a/b, is given by . Determine the a and b such that the parabola 662 passes through the point (1, 1) and this area is minimised. With a precision of up to 3 decimal places, e.g. "4.598" or "6.667", calculate: • the value of a: • the value of b:

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 > b > 0. The area under a parabola y = ax – bx² between its two roots, x = 0 and x = a/b, is given by . Determine the a and b such that the parabola 662 passes through the point (1, 1) and this area is minimised. With a precision of up to 3 decimal places, e.g. "4.598" or "6.667", calculate: • the value of a: • the value of b:
Transcribed Image Text:Let a > b > 0. The area under a parabola y = ax – bx² between its two roots, x = 0 and x = a/b, is given by . Determine the a and b such that the parabola 662 passes through the point (1, 1) and this area is minimised. With a precision of up to 3 decimal places, e.g. "4.598" or "6.667", calculate: • the value of a: • the value of b:
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