please answer questions with details and clear steps and clear hand writing (8,9,10,11
please answer questions with details and clear steps and clear hand writing (8,9,10,11 S. Find...
Question 1 3+cos(n) 2n X Which of the following properties hold for the sequence an for n 2 1? l. Bounded Il. Monotonic IIl. Convergent Selected Answer a. I only a. I only b. Il only c. I and Il only d. I and Ill only e. I, II, and III Remember what these conditions mean: Bounded means all terms of the sequence have to lie within a specific range of values. Monotonic means the sequence is ALWAYS increasing or...
mall to me Your final answer on this page. You may attach your work on separate pages. Scan and e- (21 points, 3 points each) Test the following sequences for convergence. Write the nth term an. If the sequence converges, find the limit 1. 149 1234 16 25 5 3. 4 = 1, ... = 4-a, for n 21. 5. is the sequence 21-1) increasing, decreasing or neither. Is the sequence bounded? Convergent? 2n+1). Inn 6. Test for convergence the...
I would really appreciate your help with solving this whole question of my assignment due in a few hours. Willing to rate and like!! Thank you so much Q1/ Solve the following series question a) is the following sequence increasing, decreasing, or not monotonic? Is the sequence bounded? a. an = 2n13 b) Use power series to approximate the definite integral to six decimal places. a. Jo 773 dx b. So 2 x ln(1 + x²) dx 0.3 x c)...
Please answer very good and with clear hand writing for signals and systems thanks Let a periodic signal x(t) with a fundamental frequency ?,-2n have a period 4.6 x1(t) = t(u(t)--u(t-1)] (a) Plot x(t), and indicate its fundamental period To Compute the Fourier series coefficients of x(t) using their integral definition. (b) (c) Use the Laplace transform to compute the Fourier series coefficients (d) Suppose that y(t) = dx(t)/dt, find the Fourier transform of x(t) by Answers: x(t) is periodic...
In questions 1-8, find the limit of the sequence. sin n cos n 2. 37 /n sin n 3. 4. cos rn 5. /n sin n o cos n n! 9. If c is a positive real number and lan) is a sequence such that for all integer n > 0, prove that limn →00 (an)/n-0. 10. If a > 0, prove that limn+ (sin n)/n 0 Theorem 6.9 Suppose that the sequence lan) is monotonic. Then ta, only if...
Answer just in MATLAB please. Many thanks. #MATLAB Questions 2. Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes and the curve y = cos x, OS XS 1/2, about, a) the y-axis b) the line x= Tt/2. (15 marks, 5 each part, 5 for baseline formulation) 3. (a) Solve the following double integral, (b) Sketch the region of integration, and (c) write an equivalent double integral with the...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Х webassign.net 9. [-12 Points) DETAILS OSCALC1 9.6.328-337B.WA.TU Apply the root test to the series. Σ (+) 2n - 1 n=1 Find the limit lim Vanl. Use your result to determine the convergence of the series. o absolutely convergent divergent inconclusive 122 Tutorial Additional Materials eBook
please show all steps 6. For each series: • Use the specified test to deduce the convergence or divergence of the following series. • If the test does not apply, explain why. Then use another test, that does aid in deducing if the series con- verges or divergesc All properties for each test must be formally stated/proved for the specified test. For example, if a test requires the corresponding sequence be decreasing, you must show why this is true. If...
Polar Coordinate Problems 1. Identify when the function decreases when changing r2sin (29) = a(-1]b to coordinates Cartesian a = 1, b = 5 2. Draw the polar curve given byr = a (b + c cos (@)) in 0 s@sx/2. Find the arc length of that curve. a = 1, b = 5,C=-7 Sequences and series. For series, identify the method or technique to be used before applying it. If you are going to use root criterion, reason criterion,...