1. Find an equation of the tangent line to the curve at the given point. (a) y = In(x? – 3x + 1) at (3,0) (b) y = x² In x at (1,0)

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. Find an equation of the tangent line to the curve at the given point.
(a) y = In(x2 – 3x + 1) at (3,0)
(b) y = x² In x at (1,0)
2. The position of a particle is given by the equation: s = f(t) = t3 – 6t? + 9t where t
is measured in seconds and s in meters.
(a) Find the velocity at time t. (Note: v =
(b) What is the velocity after 2 seconds?
(c) Find the acceleration at time t and after 4 seconds. (Note: a =
Transcribed Image Text:1. Find an equation of the tangent line to the curve at the given point. (a) y = In(x2 – 3x + 1) at (3,0) (b) y = x² In x at (1,0) 2. The position of a particle is given by the equation: s = f(t) = t3 – 6t? + 9t where t is measured in seconds and s in meters. (a) Find the velocity at time t. (Note: v = (b) What is the velocity after 2 seconds? (c) Find the acceleration at time t and after 4 seconds. (Note: a =
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