please give the correct answer with explanations, thank you Find the open interval of convergence of...
please give the correct answer with explanations, thank you For the answers below use Maple syntax to enter exact answers. Use for all multiplications. For example, 35 should be entered as 3-sqrt(5) • should be entered as Pi .22 should be entered as exp (2*x) .61 (ie six factorial) should be entered as 6! Consider the f: RR given by f(x) = cos(5x) The Taylor series of f(x) about x = T has the form aq +91(x - 5) +...
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
(1 point) Find the interval of convergence for the following power series: n (z +2)n n2 The interval of convergence is 1 point) Find the interval of convergence for the following power series n-1 The interval of convergence is: If power series converges at a single value z c but diverges at all other values of z, write your answer as [c, c 1 point) Find all the values of x such that the given series would converge. Answer. Note:...
please box answers Find a power series representation for the function. (Give your power series representation centered at x0.) 4 x16 n=0 Determine the interval of convergence. (Enter your answer using interval notation.) Find a power series representation for the function. (Give your power series representation centered at x0.) 4 x16 n=0 Determine the interval of convergence. (Enter your answer using interval notation.)
please give the correct answer with explanations, thank you Determine whether the following series converges or diverges. 2k 3k +1 k=1 (Click for List) What test should be used to give this result? (Click for List)
please give the correct answer with explanations, thank you Determine whether the following series converges or diverges IM8 cos(kn) 1 + Ink (Click for List) What test should be used to give this result? (Click for List)
Find R, the radius of convergence, and the open interval of convergence for: Σ The series has the open interval of convergence of (-2,2). Determine if the series converges or diverges at each endpoint to find the full n=1 interval of convergence. n. .2" At x = -2 the series converges At x = 2 the series diverges The interval of convergence is M Find R, the radius of convergence, and the open interval of convergence for: (2x - 1)2n+1...
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is an interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma separated list of values.) ∞ n!(x + 9)n 1 · 3 · 5 ... (2n − 1) n = 1
please answer both!!! (1 point) Use the binomial series to find the first 5 nonzero terms of the power series centered at x = 0 for the following function and then give the open interval of convergence for the full power series. 1 f(x) = (5 + x)5 f(x) = + + + + ... + (Give your The open interval of convergence is: answer in interval notation.) (1 point) For the following indefinite integral, find the full power series...
Find the radius of convergence and interval of convergence for the given power series (note you must also check the endpoints). (Use inf for too and -inf for --oo. If the radius of convergence is infinity, then notice that the infinite endpoints are not included in the interval.). Radius of convergence: For the interval of convergence (1) the left endpoint is = left and included (enter yes or no): (2) the right endpoint is z= right end included (enter yes...