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Q2: Let z = x*y, x = t2, y = t. Calculate by (a) the chain rule, (b) expressing z as a function ot f and finding 4 directly. Q3: Let z = 4x - 8x y* + 7y - 3. Find all the first and second order partial derivatives of z.

Q2: Let z = x*y, x = t2, y = t. Calculate by (a) the chain rule, (b) expressing z as a function ot f and finding 4 directly. Q3: Let z = 4x - 8x y* + 7y - 3. Find all the first and second order partial derivatives of z.

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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QI: Consider the points A, B. C, D where coordinates are respectively (1,1,0). (-1,1,0). 0,-1,1). Find the direction cosines of AC and BD and calculate the angle between them. Q2: Let z = x?y, x = t2, y = t. Calculate by (a) the chain rule, (b) expressing z as a function ot f and finding 4 directly. Q3: Let z = 4x? – 8 x y* + 7y - 3. Find all the first and second order partial derivatives of z.
Transcribed Image Text:QI: Consider the points A, B. C, D where coordinates are respectively (1,1,0). (-1,1,0). 0,-1,1). Find the direction cosines of AC and BD and calculate the angle between them. Q2: Let z = x?y, x = t2, y = t. Calculate by (a) the chain rule, (b) expressing z as a function ot f and finding 4 directly. Q3: Let z = 4x? – 8 x y* + 7y - 3. Find all the first and second order partial derivatives of z.
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