Soru 23 Hendz cevaplarmade 1,00 Gerinden işaretlenmis Soruyu işaretle Consider the function f(x) = e-+" and...
Soru 3 Henüz cevaplanmadı 20,00 üzerinden işaretlenmiş P Soruyu işaretle Find the matrix X E R4x4 that satisfies the equation A-1XA = adj(A), given -1 1 1 0 -1 -1 —2 0 A= -1 1 1 0 0 0 0 -5
Consider a periodic function f(x) defines as follows: 4. f(x)-0 f(x)-0 The function is periodic every 2π Find the first four non-zero terms in the Fourier series of this function for the interval [-π, π] or equivalently for the interval [0, 2자 Note that depending if the function is odd or even, the first four terms do not necessarily correspond to h = 1, 2, 3, and 4. Consider a periodic function f(x) defines as follows: 4. f(x)-0 f(x)-0 The...
Consider the integral 1 To vita dx V1 + x3 (a) Write out the first four non-zero terms of the MacLaurin series for the above integral. (b) Write out the first four non-zero terms of the series for 1 so dx V1 + x3 (c) How many terms of the above series should we add together to estimate p1/2 dc V1 + x3 within 0.001? 1
Please answer all, be explanatory but concise. Thanks. Consider the function f(x) = e x a. Differentiate the Taylor series about 0 of f(x). b. ldentify the function represented by the differentiated series c. Give the interval of convergence of the power series for the derivative. Consider the differential equation y'(t) - 4y(t)- 8, y(0)4. a. Find a power series for the solution of the differential equation b. ldentify the function represented by the power series. Use a series to...
10. (4 points) a. Use the Maclaurin series for function to find the first three nonzero terms of the Maclaurin series for the following function. b. Then use these terms (above) to approximate the integral 10.(4 points) a. Use the Maclaurin series for function f(x) = tan-?x to find the first three nonzero terms of the Maclaurin series for the following function g(x) = x tan-1x3. b. Then use these terms (above) to approximate the integral $0.5 x tan-1 x...
4. Find the non-zero first four terms of the Maclaurin series of h(x). f sin-a-rda h(x)= a. 4. Find the non-zero first four terms of the Maclaurin series of h(x). f sin-a-rda h(x)= a.
22 . . 23 . 24 Use the binomial series to expand the function as a power series. 7 (4 + x) 3 Σ Your answer cannot be understood or graded. More Information n = 0 X State the radius of convergence, R. R = 4 Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = x cos(4x) D) n = 0 Evaluate the indefinite integral as an infinite series. I conte...
12. Use the Maclaurin expansion for e-t to express the function F(2) = dt as an alternating power series in 2. How many terms of the Maclaurin series are needed to approximate the integral for x=1 to within an crror of at most 0.001? Let
Question 4 10 pts #3. Consider the function f(x) = 2 3 (a) (5pts) Find a power series for f(x) centered at 0. (b) (5pts) Determine the interval of convergence of f(x). Upload Choose a File Question 5 10 pts #4. (a) (5pts) Find the Taylor series for f(x) = cos x, centered at 0. (Note: You can refer to the textbook.) (b) (5pts) Using (a), find the Maclaurin series for g(x) = cos(a). Write the first five terms of...
Use the fact that Due in 23 minutes cos(w) - cos(w) = 2 (- 1)"w2n (2n)! to evaluate the following integral to within an error 0.01. cos(1.4.)dx. Estimate = Preview How many non-zero terms of the Maclaurin series did you use to approximate this integral? Preview Now estimate the error of the approximation. error < Preview