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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?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 44PS: Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the information from...
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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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