Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. taylor polynomial hw 1) evaluate cos ( 2 π / 3

Taylor Polynomial HW 1) Evaluate cos ( 2 π / 3 ) on your calculator and...

60.1K

Verified Solution

Question

Basic Math

Taylor Polynomial HW

1) Evaluate cos ( 2 π / 3 ) on your calculator and using thefirst 4 terms of the TP for cos x.

2) Integrate cos ( x^3 ), from 0 to π / 6, using the first 3 termsof the TP for cos x.

3) Evaluate e^x at x = .4 on your calculator and using the first 5terms of the TP for e^ x.

4) Integrate e^x3, from 0 to .3, using the first 3 terms of the TPfor ex.

5) If I integrate 1/(1-x) I will get - ln (1 - x). Integrate thegiven TP for 1/(1-x). What is the TP for - ln ( 1 - x )?

6) What is the value of, - ln ( 1 - x ) if x = .3? I got .3567. Usethe first 4 terms of the TP you created in question 5 and see ifyou obtain the same result. I got .3560.
  

Here are other Taylor Polynomials for other trig functions:

tan ( x ) = x + (1/3) x3 + (2/15) x5 + (17/315) x7 + (62/2835) x9 +....


sec ( x ) = 1 + (1/2) x2 + (5/24) x4 + (61/720) x6 + ...

7) Find the integral of tan x from 0 to π / 6. Use the first 3terms of the TP.

8) Find a TP for sec 2 x, recall sec 2 x is the derivative of tanx.

9) On your calculator, what is the cos (Ï€ / 3)? You should get 1/2.Obviously, the sec (Ï€ / 3) is 2. Use the first 4 terms of the TPfor sec x and see if the answers agree.

Answer & Explanation Solved by verified expert
3.7 Ratings (567 Votes)
In Question 1 With the help of the Taylor series    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Chemistry
1.2K views

* Calculate the concentration of argon in the Pacific Ocean given that the partial pressure of...

Chemistry
1.2K views

(a) Balance the following half-reactions by the ion-electron half-reaction method: (i) (acid solution) NO3 – (aq) →...

General Management
1.2K views

Describe the distinct components of Computer Physician Order Entry (CPOE) and provide some specific examples of...

Biology
1.2K views

Which of the following characteristics of hydrogenosomes is INCORRECT Hydrogenosomes generate ATP by fermentation O...

Basic Math
1.2K views

A small country with a population of 7 000 000 consists of four states A...

Basic Math
1.2K views

Determine if the following relation is a one-to-one function.S={(-6, -6), (4,4), (3,7), (7,3)}Is S a...

Calculus
1.2K views

Simplify completely assuming both x 0 and y 0 64x7y10

Calculus
1.2K views

Let f(x) =4x + 14if x < -2?x+38 if x > - 2if x =...

Accounting
1.2K views

Jennifer has the transactions below, what is the combined impact on her net...

Accounting
1.2K views

Research financial statements of a Walmart. Analyze the cost components of the primary manufacturing process...

Accounting
1.2K views

How to put these statements on a journal entry analyze and Journalize all transactions on...

Accounting
1.2K views

Sheet Medical Supply has applied for a loan. Marine National Bank has requested a budgeted...