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2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point (1,-2)? 3. What is the equation of the normal line to the curve 2x3 + 2y³-9xy = 2 at the point (0, 1)?

2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point (1,-2)? 3. What is the equation of the normal line to the curve 2x3 + 2y³-9xy = 2 at the point (0, 1)?

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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Learning Task 3: Read each item carefully. St.cw all secessary ing lutions in solv 1. Find the derivative of the following using implicit differentiation. - y² = x+y c. y = ser(x d. sy + y sin x-1=0 3 x e. = 2 x y 2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point at (1,-2)? 3. What is the equation of the normal line to the curve 2x³ + 2y³-9xy = 2 the point (0, 1)?
Transcribed Image Text:Learning Task 3: Read each item carefully. St.cw all secessary ing lutions in solv 1. Find the derivative of the following using implicit differentiation. - y² = x+y c. y = ser(x d. sy + y sin x-1=0 3 x e. = 2 x y 2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point at (1,-2)? 3. What is the equation of the normal line to the curve 2x³ + 2y³-9xy = 2 the point (0, 1)?
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