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f(3x² − 4x+6) dx ; y = 10 if x = 1. Solve for the constant of integration. Given

f(3x² − 4x+6) dx ; y = 10 if x = 1. Solve for the constant of integration. Given

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Given (3x² - 4x+6) dx ; y = 10 if x = 1. Solve for the constant of integration. 2. Solve for the equation of the curve if y"= 4x³ -2x, given that its slope is twice its abscissa at the point (1,2). 3. At any point (x,y) on the curve D²y = 1-x², and an equation of the tangent line to the curve at the point (1,1) is y=2-x. Find an equation for the curve.
Transcribed Image Text:1. Given (3x² - 4x+6) dx ; y = 10 if x = 1. Solve for the constant of integration. 2. Solve for the equation of the curve if y"= 4x³ -2x, given that its slope is twice its abscissa at the point (1,2). 3. At any point (x,y) on the curve D²y = 1-x², and an equation of the tangent line to the curve at the point (1,1) is y=2-x. Find an equation for the curve.
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