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5. Let 0 < a < b ≤ 2a. We will consider the curve ry = on [a, b]. We now sketch a tangent line at any point (x, y) on this curve with a-coordinate in [a, b]. Then we will have a trapezoid and its four sides are on this tangent line, z-axis, x = a and a = b. Find the point (x, y) such that the area of the trapezoid is the largest.

5. Let 0 < a < b ≤ 2a. We will consider the curve ry = on [a, b]. We now sketch a tangent line at any point (x, y) on this curve with a-coordinate in [a, b]. Then we will have a trapezoid and its four sides are on this tangent line, z-axis, x = a and a = b. Find the point (x, y) such that the area of the trapezoid is the largest.

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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5. Let 0 < a < b < 2a. We will consider the curve ry = 1 on [a, b]. We now sketch a tangent line at any point (x, y) on this curve with x-coordinate in [a, b]. Then we will have a trapezoid and its four sides are on this tangent line, r-axis, r = a and r= b. Find the point (x, y) such that the area of the trapezoid is the largest.
Transcribed Image Text:5. Let 0 < a < b < 2a. We will consider the curve ry = 1 on [a, b]. We now sketch a tangent line at any point (x, y) on this curve with x-coordinate in [a, b]. Then we will have a trapezoid and its four sides are on this tangent line, r-axis, r = a and r= b. Find the point (x, y) such that the area of the trapezoid is the largest.
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