Derivatives of Functions Find the derivatives of the functions in Exercises 1-40. 34. y = 4xVx + Vĩ

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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A differential equation Show that both of the following condi-
tions are satisfied by y
sin x + S" cos 2t dt + 1:
i) y" = -sin x + 2 sin 2x
ii) y =
1 and y' = -2 when x = ™.
The region bounded above by the curve y = 1/x³, below by the
curve y = -1/x³, and on the left and right by the lines x = 1 and
x = a > 1. Also, find lim,,I.
Find the volume of the solid of revolution shown here.
Transcribed Image Text:A differential equation Show that both of the following condi- tions are satisfied by y sin x + S" cos 2t dt + 1: i) y" = -sin x + 2 sin 2x ii) y = 1 and y' = -2 when x = ™. The region bounded above by the curve y = 1/x³, below by the curve y = -1/x³, and on the left and right by the lines x = 1 and x = a > 1. Also, find lim,,I. Find the volume of the solid of revolution shown here.
Derivatives of Functions
Find the derivatives of the functions in Exercises 1–40.
34. y = 4xVx + Vã
24. y = Vx csc (x + 1)³
7. Use Newton's method to find an approximate solution of
3 - x = x³. Start with xo = 1 and find x2.
A differential equation
Show that both of the following condi-
tions are satisfied by y = sin x + 1" cos 2t dt + 1:
Transcribed Image Text:Derivatives of Functions Find the derivatives of the functions in Exercises 1–40. 34. y = 4xVx + Vã 24. y = Vx csc (x + 1)³ 7. Use Newton's method to find an approximate solution of 3 - x = x³. Start with xo = 1 and find x2. A differential equation Show that both of the following condi- tions are satisfied by y = sin x + 1" cos 2t dt + 1:
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