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63. Witch of Agnesi Let y(+4)= 8 (see figure). dy a. Use implicit differentiation to find dx b. Find equations of all lines tangent to the curve y(+4)=8 when y=1. c. Solve the equation y(x+4)= 8 for y to find an explicit expression for y and then calculate d. Verify that the results of parts (a) and (c) are consistent. dy dx

63. Witch of Agnesi Let y(+4)= 8 (see figure). dy a. Use implicit differentiation to find dx b. Find equations of all lines tangent to the curve y(+4)=8 when y=1. c. Solve the equation y(x+4)= 8 for y to find an explicit expression for y and then calculate d. Verify that the results of parts (a) and (c) are consistent. dy dx

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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63. Witch of Agnesi Let y (x+4)=8 (see figure). dy dx a. Use implicit differentiation to find 2 b. Find equations of all lines tangent to the curve y(x²+ -4)=8 when y=1. c. Solve the equation y(x+4)= 8 for y to find an explicit expression for y and then calculate d. Verify that the results of parts (a) and (c) are consistent. y 2, y(x² + 4) = 8 2 4 X dy dx
Transcribed Image Text:63. Witch of Agnesi Let y (x+4)=8 (see figure). dy dx a. Use implicit differentiation to find 2 b. Find equations of all lines tangent to the curve y(x²+ -4)=8 when y=1. c. Solve the equation y(x+4)= 8 for y to find an explicit expression for y and then calculate d. Verify that the results of parts (a) and (c) are consistent. y 2, y(x² + 4) = 8 2 4 X dy dx
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