please show all the work Using series to calculate Believing Euler's result that: 2 n2 =...
Please give an explanation to all work! I need an explanation as to why this is convergent or divergent. Also please show ALL steps to this problem! Without the work and explanation the answer does not mean anything. Test the series for convergence or divergence. Σ (-1)" 8"n! n = 0 Identify bn Evaluate the following limit. lim bn n → 00 Since no lim bn ? A 0 and bn + 1 ? bn for all n, ---Select--- If...
Taylor series. Please show all work neatly. Thanks! 2. In the course of some physics problem you need this integral: 1 dx where β is a small parameter. Find the series for f(3) up to and including any β3 terms
**Please show all work** Consier the function sin x/xx #0 f(x) = {inz/# x = 0 (a) Find the MacLaurin series for f (x). (b) Suppose we want to estimate the value of f (0.5). Use the above series to write a finite sum approximating f (0.5). Write enough terms to be sure that your sum is within 0.000001 of the correct answer (and how how you determine how many terms you need).
PHYSICS QUESTION: Calculate the following results and the error in each result. Please show work. a) (91.4
please show all work and dont forget to evaluate the intefral Use a Taylor series to approximate the following definite integral. Retain as many terms as needed to ensure the error is less than 10-4. 0.33 S s in (1+x2) dx 0 Rewrite the given integral using a Taylor series and simplify the result. Choose the correct answer below. 0.33 0.33 x4 x4 OA X- x² ² 2! 3! + dx B. X- x² x² 2 3 + +.. dx...
Please answer all the questions, don't just answer one please answer all of them and show all the steps 11. (a) Use known scries to obtain the Maclaurin series (that is, the Taylor series Express your answer using summation 509 centered at 0) for() (b) Use your answer to part (a) to obtain the Maclaurin series for g(r) arctan(r) (a) Write the first three nonzeTo terms of the Maclaurin series of sin(r). 8. (b) Write the first three nonzero terms...
please show all work Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
show all work please 2. WORK THIS PROBLEM: Consider this equation: N2 + H2 + NH3 If there are 56 grams of nitrogen available in this reaction what is the mass of ammonia that will be produced?
Please show work! .Calculate the result of the following operations with 32-bit floating point numbers. Truncate the results when required. When doing fixed-point division, use 8 fractional bits. Show your procedure. V 40D90000 + C2EAC000 |V 801A8000 -B3CEC000 | v' FACADE80 7F800000 |V 800C0000 ÷ 494A0000 V CF4A8 000 + B0A90000 |v' FF800000 - DECAFFO0 | v' 8B092000 × OFACE000 | v' 49744000 ÷C0C90000
please clearly answer each part of this problem and show all work 2. Given the series (-1)"+1(n + 1) n? + 1 (a) Does it converge absolutely, converge conditionally, or diverge? If it converges, you must show that all three criteria of the Alternating Series Test are satisfied. (b) Use the Alternating Series Remainder Theorem to find the number of terms N such that RNI < 1/10 (c) Use this N to find lower and upper bounds to three decimal...