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2. Prove the formula of the derivative of y = cosec-f(x). d²y and dx2 of the parametric equation x(t) = sech2(t), y(t) = tanh (t). 3. Find %3D %3D dx 4. A closed cylindrical can is made to hold a volume of 340 ml. What are the dimensions that wil minimize the cost of metal to manufacture the can?

2. Prove the formula of the derivative of y = cosec-f(x). d²y and dx2 of the parametric equation x(t) = sech2(t), y(t) = tanh (t). 3. Find %3D %3D dx 4. A closed cylindrical can is made to hold a volume of 340 ml. What are the dimensions that wil minimize the cost of metal to manufacture the can?

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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2. Prove the formula of the derivative of y = cosec-f(x). dy d?y 3. Find and dx of the parametric equation x(t) = sech? (t), y(t) = tanh (t). %3D dx2 4. A closed cylindrical can is made to hold a volume of 340 ml. What are the dimensions that will minimize the cost of metal to manufacture the can?
Transcribed Image Text:2. Prove the formula of the derivative of y = cosec-f(x). dy d?y 3. Find and dx of the parametric equation x(t) = sech? (t), y(t) = tanh (t). %3D dx2 4. A closed cylindrical can is made to hold a volume of 340 ml. What are the dimensions that will minimize the cost of metal to manufacture the can?
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