Question 2 Differentiate the following functions (i) If y= e-t sin 4t, prove that +6+2y = 0. (ii) Given that sin(x? +y) = y (3x + 1), show that dy 2x cos(x? + y) – 3y² !3! dx 2y(3x + 1) – cos(x² + y)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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please solve question 2

Question 2
Differentiate the following functions
(i) If y = e-3t sin 4t, prove that + 6+ 2y = 0.
dx2
dx
(ii) Given that sin(x? + y) = y?(3x + 1), show that
dy
2x cos(x? + y) - 3y?
dx 2y(3x + 1) – cos(x² + y)
%3D
Transcribed Image Text:Question 2 Differentiate the following functions (i) If y = e-3t sin 4t, prove that + 6+ 2y = 0. dx2 dx (ii) Given that sin(x? + y) = y?(3x + 1), show that dy 2x cos(x? + y) - 3y? dx 2y(3x + 1) – cos(x² + y) %3D
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