1 answer

Find the degree of the taylor polynomial to f(a) = In(1 + 2x) 1 4 is...

Question:

Find the degree of the taylor polynomial to f(a) = In(1 + 2x) 1 4 is less so that the error in the estimate for than 0.005

Find the degree of the taylor polynomial to f(a) = In(1 + 2x) 1 4 is less so that the error in the estimate for than 0.005

Answers

A Maclaurin series is given by f (x) f() (a) k! = k=0 72 f(k) (a) 5 f) (a) In our case, f (x) P(x) = k! k! k=0 k=0 So, what w3. Find the 3rd derivative: f(3) = 4 (2x + 1)2 16 (2x + 1) 3 Evaluate the 3rd derivative at the given point: (f (0) = 16 168 f(2) P(x) = 2x – 2x2 + 273 - 4x4 + 32 -25 5 Evaluate the function at the point: f Evaluate the series at the point: P () =

.

Similar Solved Questions

1 answer
A) b) th An electron is released from rest at the midpoint between a line of...
a) b) th An electron is released from rest at the midpoint between a line of charge with a linear charge density + (+lambda) and a current carrying wire with current i directed as shown. Which path is the best approximation to the path the electron initially follows path d) path b) path c) path a)...
1 answer
QUESTION 1: A company's mission statement can serve as a tool that guide the formulation and...
QUESTION 1: A company's mission statement can serve as a tool that guide the formulation and evaluation of the business strategy and include expectations, plans, performance standards and objectives. The truth is that most mission statements of companies in Ghana and some parts of Africa have li...
1 answer
Problem 10-7 The postmaster of a small western town receives a certain number of complaints each...
Problem 10-7 The postmaster of a small western town receives a certain number of complaints each day about mail delivery. 1 4 Number of complaints 2 10 3 15 4 8 5 9 DAY 7 8 5 13 6 6 9 15 10 7 11 6 12 4 13 2 14 11 a.Determine two-sigma control limits using the above data. (Round your intermediate cal...
1 answer
1. (19 pts) Adrienne and Deepa consume pizza, Z, and cola, C. Adrienne's utility function is...
1. (19 pts) Adrienne and Deepa consume pizza, Z, and cola, C. Adrienne's utility function is UA = ZĄCA and Deepa' s utility function is U = 295c9S. Adrienne' s marginal utility of pizza is MUZ = CA, and her marginal utility of cola is MUS = ZA. Similarly, Deepa' s marginal utili...
1 answer
M ure of International developmental progrebirth mortality rates are analyzed annually. For comtes reported the following...
m ure of International developmental progrebirth mortality rates are analyzed annually. For comtes reported the following birth mortality rates given at the end of the problem 26 15 75 66 18 52 125 5 6 58 119 98 32 5 12 13 99 6 22 20 88 34 103 (1) What would be an appropriate point estimate for the ...
1 answer
Call Option
You have taken a long position in a call option on IBM common stock. The option has an exercise price of $142 and IBM's stock currently trades at $148. The option premium is $7 per contract. a. How much of the option premium is due to intrinsic value versus time value?b. What is y...
2 answers
How to prepare 500mL of a 0.30M copper(II) sulfate solution ?
How to prepare 500mL of a 0.30M copper(II) sulfate solution ?...
1 answer
15. value: 5.00 points The market demand curve for a pair of duopolists is given as...
15. value: 5.00 points The market demand curve for a pair of duopolists is given as P=100- Q where Q= Q4 + Q2. The constant per unit marginal cost is 0 for firm 1 and c for firm 2 where c is some number. Find the equilibrium price, quantity and profit for each firm in the Bertrand model as a functio...
1 answer
Able Production Possibilities Schedule I) Use Table: Production Possibilities Schedule I. The opportunity cost of producing...
able Production Possibilities Schedule I) Use Table: Production Possibilities Schedule I. The opportunity cost of producing the third unit of consumer goods is units of capital goods. Table: Production Possibilities Schedule I Alternatives Consumer goods per period 0 Capital goods per period 30 28 2...
1 answer
Section 2 (5 points): The questions in this section are graded for completion. In order to get fu...
Game Theory -ONLY questions 2 & 3, please! Section 2 (5 points): The questions in this section are graded for completion. In order to get full credit, you mast show significant ffort for each question. Incorrect answers, however, will not penalize you. Make sure to label any graphs/figures ...
1 answer
9. [0/1 Points] DETAILS PREVIOUS ANSWERS SERPSE10 10.5.P.019.CTX. MY NOTES PRACTICE ANOTHER Your grandmother enjoys creating...
9. [0/1 Points] DETAILS PREVIOUS ANSWERS SERPSE10 10.5.P.019.CTX. MY NOTES PRACTICE ANOTHER Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.560 m and mass M = 100 kg. In operation, the wheel rotates at 40.0 rev/min. While the ...
1 answer
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing.
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the same fabric specimens discu...
1 answer
Imported From Fr... Nolan Company uses a budgeted direct labor rate of $10 per hour. The...
Imported From Fr... Nolan Company uses a budgeted direct labor rate of $10 per hour. The company expects to operate at 8,000 direct labor hours each month. In March, direct labor totaling $79,790 is incurred in working 7,900 direct labor hours. A FLEXIBLE budget report would indicate that direct lab...
1 answer
Putting aside the question of legality, what moral arguments can be given for and brand against...
Putting aside the question of legality, what moral arguments can be given for and brand against dumping? What is your position on dumping, and what principles and values do you base it on it? Should we have laws prohibit more types of dumping?...
1 answer
Find the interest on the following loan. $1800 at 6.5% for 3 months. The interest is...
Find the interest on the following loan. $1800 at 6.5% for 3 months. The interest is $____....
2 answers
How do you simplify and divide #(x^3+3x^2+3x+2)/(x^2+x+1)#?
How do you simplify and divide #(x^3+3x^2+3x+2)/(x^2+x+1)#?...