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2 Find the equation of the tangent to the curve y = sin x at the point where x = . 3

2 Find the equation of the tangent to the curve y = sin x at the point where x = . 3

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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Please answer question number 2,3,4,5,6

Find the equation of the tangent to the curve y = sin x at the point where x = : 3 3 You are given the function f(x) = 12 - 3 cos'x, 0 <x<- 2 The value of x is increasing at a rate of 0.6 radians s-. Find the corresponding rate of change of f(x) when f(x)= 10. 4 a Find the equation of the normal to the curve y = 2tan x – 3 at the point where x=. b Find the coordinates of the point where the normal intersects the x-axis. 4 5 The diagram shows the curve y= 3 cos 2x. YA Given that the shaded area is 1 unit, find the value of a. y=3 cos 2x dy dx Find the approximate change in the value of y as x increases a 6 a Given that y= cos 3x, find 4 from to =+p, where p is small. 6. 6. 2.
Transcribed Image Text:Find the equation of the tangent to the curve y = sin x at the point where x = : 3 3 You are given the function f(x) = 12 - 3 cos'x, 0 <x<- 2 The value of x is increasing at a rate of 0.6 radians s-. Find the corresponding rate of change of f(x) when f(x)= 10. 4 a Find the equation of the normal to the curve y = 2tan x – 3 at the point where x=. b Find the coordinates of the point where the normal intersects the x-axis. 4 5 The diagram shows the curve y= 3 cos 2x. YA Given that the shaded area is 1 unit, find the value of a. y=3 cos 2x dy dx Find the approximate change in the value of y as x increases a 6 a Given that y= cos 3x, find 4 from to =+p, where p is small. 6. 6. 2.
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