5) Determine the equation of the tangent to the curve y = √3x² - 2x at x=1.

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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5)
Determine the equation of the tangent to the curve y = √3x² - 2x at x =1.
6)
Determine the equation of the tangent to the curve defined by y = 2 sin x cos x
at x =
7)
A dragster races down a 400 m strip and crosses the finish line in 8 seconds.
Its distance, in metres, from the starting line after t seconds is s(t) = 6t² + 2t.
(a) Find the dragster's velocity and acceleration as it crosses the finish line.
(b) Determine the velocity of the dragster at the moment it is 60 m down the strip?
Transcribed Image Text:5) Determine the equation of the tangent to the curve y = √3x² - 2x at x =1. 6) Determine the equation of the tangent to the curve defined by y = 2 sin x cos x at x = 7) A dragster races down a 400 m strip and crosses the finish line in 8 seconds. Its distance, in metres, from the starting line after t seconds is s(t) = 6t² + 2t. (a) Find the dragster's velocity and acceleration as it crosses the finish line. (b) Determine the velocity of the dragster at the moment it is 60 m down the strip?
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