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6. Let z = 5e** sin y . Compute the differential dz. A) dz = 20et* sin y dx + 20e** cos y dy B) dz = 20e" sin x dx + 20e³" sin x dy C) dz = 20e** sin y dx +5e** sin y dy D) dz = 20e** sin y dx +5e** cos y dy E) dz = 20e** cos y dx+ 5e** sin y dy 4x

6. Let z = 5e** sin y . Compute the differential dz. A) dz = 20et* sin y dx + 20e** cos y dy B) dz = 20e" sin x dx + 20e³" sin x dy C) dz = 20e** sin y dx +5e** sin y dy D) dz = 20e** sin y dx +5e** cos y dy E) dz = 20e** cos y dx+ 5e** sin y dy 4x

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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6. Let \( z = 5e^{4x} \sin y \). Compute the differential \( dz \). A) \( dz = 20e^{4x} \sin y \, dx + 20e^{4x} \cos y \, dy \) B) \( dz = 20e^{3y} \sin x \, dx + 20e^{3y} \sin x \, dy \) C) \( dz = 20e^{4x} \sin y \, dx + 5e^{4x} \sin y \, dy \) D) \( dz = 20e^{4x} \sin y \, dx + 5e^{4x} \cos y \, dy \) E) \( dz = 20e^{4x} \cos y \, dx + 5e^{4x} \sin y \, dy \)
Transcribed Image Text:6. Let \( z = 5e^{4x} \sin y \). Compute the differential \( dz \). A) \( dz = 20e^{4x} \sin y \, dx + 20e^{4x} \cos y \, dy \) B) \( dz = 20e^{3y} \sin x \, dx + 20e^{3y} \sin x \, dy \) C) \( dz = 20e^{4x} \sin y \, dx + 5e^{4x} \sin y \, dy \) D) \( dz = 20e^{4x} \sin y \, dx + 5e^{4x} \cos y \, dy \) E) \( dz = 20e^{4x} \cos y \, dx + 5e^{4x} \sin y \, dy \)
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