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A curve on the xy-plane passes through the point (0, a) for some number a, and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find the equation of the curve.

A curve on the xy-plane passes through the point (0, a) for some number a, and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find the equation of the curve.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
Section: Chapter Questions
Problem 8.14EP
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A curve on the xy-plane passes through the point (0, a) for some number a, and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find the equation of the curve.
Transcribed Image Text:A curve on the xy-plane passes through the point (0, a) for some number a, and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find the equation of the curve.
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