Use substitution (as in Example 4) to find the Taylor series at x = 0 of the
Question:
Use substitution (as in Example 4) to find the Taylor series at x = 0 of the functions.cos (x2/3/√2)
Transcribed Image Text:
EXAMPLE 4 Using known series, find the first few terms of the Taylor series for the given function using power series operations. (b) e cos x (a) (2x (2x + x cos x) (a) (2x (2x + x cos x) = (b) e cos x = = 2 = 1 + x + 2 1 x + X 3.x 3 3! = (¹ + x + — + 1 x³ 3 + + 6 4! x5 3.4! x2k (2k)! + (-1). = 1 ¹ + x + £ + § + ¾ + · · · ) · ( ¹ - # - # ----) 1 2! 3! 4! 4! + 72 + + - - -) - ( ₁ ++ ++) 3! 4! 2!2! 2!3! + +6 214! کر +
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
To find the Taylor series of cosx232 at x 0 we can use ...View the full answer
Answered By
Mary Boke
I have teached the student upto class 12th as well as my fellow mates.I have a good command in engineering,maths and science.I scored 90+ marks in 10th and 12th in maths.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Find the area of the given region. y = cos x 1 y 4 IN 2
-
Create a dotplot for the following data set. 2 1 3 1 0 2 1 0 2 2
-
Use substitution (as in Example 4) to find the Taylor series at x = 0 of the functions. EXAMPLE 4 Using known series, find the first few terms of the Taylor series for the given function using power...
-
Solve Utt = cUTT 0
-
On January 1, 2011, Paxton Company purchased a 70% interest in Sagon Company for $1,300,000, at which time Sagon Company had retained earnings of $500,000 and capital stock of $1,000,000. On January...
-
Table 8.1 shows that Turner syndrome occurs when an individual inherits one X chromosome but lacks a second sex chromosome. Can Turner syndrome be due to nondisjunction during oogenesis,...
-
Haar transform (a) For an \(N \times N\) Haar transformation matrix, the Haar basis functions are \[\psi_{k}(t)=\psi_{p q}(t)=\frac{1}{\sqrt{N}} \begin{cases}2^{p / 2}, & (q-1) / 2^{p} \leq t
-
Five Macaws is a specialty pet gift shop selling exotic pet-related items online. The shop has no physical location. Results for last year are shown next: For internal planning and decision-making...
-
The technology company, Samsung, is considering to revamp an old tablet product of theirs and would like for it to make a big impression against other competitors in this day and age. -What branding...
-
Estabrook Ltd., which has a December 31 year end, had the following shareholders equity account balances as at December 31, 2024: Common shares (1,060,000 shares issued and outstanding)...
-
Find the first four terms of the binomial series for the function. (1 - 2x) 1/2
-
Which of the series defined by the formulas converge, and which diverge? Give reasons for your answers. X n=1 an
-
Using the Lewis acidbase definition, how would you categorize a ligand? How would you categorize a transition metal ion?
-
Under the temporal method, income statement items that relate to newly recognized assets and liabilities generally are remeasured using the lowest exchange rate for the period?
-
Which required establishment of an ambulance fee schedule payment system for ambulance services provided to Medicare beneficiaries?
-
Identify the principle of internal control to each of the following cases. 4. The bookkeeper does not have physical custody of assets
-
supervisor sees your potential as a future analyst for a large brokerage firm. (You haven't told her you want to work for her firm after graduating. But that's okay; everything will be in due time.)...
-
calculate Survival revenues, Average selling price, and Number of units needed to sell
-
Jerome Neeson is a shareholder in Gourmet Chefs Inc., a company that owns and operates a test kitchen in a large metropolitan area. The company is involved in a number of businesses, including...
-
QUESTION 9 HC-O-C-R R-C-O-CH HC-O-P-O-CH-CH-NH3* O || O a. Phosphatidic acid, Serine O b. Lysophosphatidic acid, Serine, Free FA O c. Lysophosphatidylserine, Free FA O d. 2 Free FAs, Serine, Glycerol...
-
Find the area of the surface. The part of the cylinder x 2 + z 2 = 4 that lies above the square with vertices (0, 0), (1, 0), (0, 1), and (1, 1)
-
Find the area of the surface. The part of the hyperbolic paraboloid z = y 2 - x 2 that lies between the cylinders x 2 + y 2 = 1 and x 2 + y 2 = 4
-
Find the area of the surface. The surface z = 2/3 (x 3/2 + y 3/2 ), 0 < x < 1, 0 < y < 1
-
What is forecasting risk and why is it important to the analysis of capital expenditure projects? What methods. can be used to reduce this risk?
-
How can a professional salesperson be effective when working through a Decision-Making Unit (DMU)/Buying center?
-
Discuss how price discrimination can enhance the effectiveness of a limit pricing strategy.
Study smarter with the SolutionInn App