Answered: Question: A curve passing through…

Question: A curve passing through (2,-1) has a slope of 8x^3+6x-8 at any point (x,y). What is the equation of the curve? Answer: y=2x^4-3x^2+8x+2

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.3: Lines

Problem 1E

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Question: A curve passing through (2,-1) has a slope of 8x^3+6x-8 at any point (x,y). What is the equation of the curve?

Answer: y=2x^4-3x^2+8x+2

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