sinh (2xV1+x? dx

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 3 for me

2.
Given the function f(x)=tanx.
2.1 Calculate the Maclaurin series expansion of the function f(x) = tanx up to the sec
non-zero term
2.2 Use 2.1 and write down and determine the value of f(0.4). Compare the answer to
f(x) = tanx, x =0.4 , correct to 4 decimal places, when evaluated on a calculator.
d
3.
dx
1(2xV1+x² }}=
dy
4. If y=cosh 4tanhx) then
dx
Use the following information for Questions 5 and 6:
The motion of a particle with position (x,y)as 0 varies with time t is given by
x= cos(20); y=1+sin(20) and
dy
-cot(20).
dx
%3D
Transcribed Image Text:2. Given the function f(x)=tanx. 2.1 Calculate the Maclaurin series expansion of the function f(x) = tanx up to the sec non-zero term 2.2 Use 2.1 and write down and determine the value of f(0.4). Compare the answer to f(x) = tanx, x =0.4 , correct to 4 decimal places, when evaluated on a calculator. d 3. dx 1(2xV1+x² }}= dy 4. If y=cosh 4tanhx) then dx Use the following information for Questions 5 and 6: The motion of a particle with position (x,y)as 0 varies with time t is given by x= cos(20); y=1+sin(20) and dy -cot(20). dx %3D
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