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1. a. Given that x + y = (2x² + 2y² - x*)* Find an equation of tangentline to the curve at point (0, 1/2). b. A particle moves along the curve y = VI+x³. As it reaches the point (2, 3), the y-coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate of the point changing at that instant?

1. a. Given that x + y = (2x² + 2y² - x*)* Find an equation of tangentline to the curve at point (0, 1/2). b. A particle moves along the curve y = VI+x³. As it reaches the point (2, 3), the y-coordinate is increasing at a rate of 4 cm/s. How fast is the x-coordinate of the point changing at that instant?

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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1. a. Given that x² + y? = (2x² + 2y? – x²)* Find an equation of tangent line to the curve at point (0, 1/2). b. A particle moves along the curve y = VI+ x3. As it reaches the point (2, 3), the y-coordinate is increasing at a rate of 4 cm/s. How fast is thex-coordinate of the point changing at that instant?
Transcribed Image Text:1. a. Given that x² + y? = (2x² + 2y? – x²)* Find an equation of tangent line to the curve at point (0, 1/2). b. A particle moves along the curve y = VI+ x3. As it reaches the point (2, 3), the y-coordinate is increasing at a rate of 4 cm/s. How fast is thex-coordinate of the point changing at that instant?
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