this question has three parts to it please label a,b,c and write clearly (leave answers in...
please label answers clearly Assume that a 2 x 2 matrix A has eigenpairs X ati, a -1, B 5, Problem 8V Problem 9 Problem 10... Problem 11 Problem 12 V-atbi, a = uz = Let the function x be the solution of the differential system x = Ax given by x(t) = (velit + v. e). Write this solution in terms of real valued fundamental solutions, draw its phase portrait, and then answer the questions below (a) Find the...
Please do parts (a), (b), and (c). Please write clearly and be neat! Problem 1 Find a fundamental solution set B and the corresponding set of solutions S for the system AX(t)-X), where 0 2 7 A=1207 7 2 0 (a) First, find e-values and e-vectors for A. (b) Write down B and S. (c) Is A diagonalizable? If so, give the details (write down the diagonal transformatiorn BAC = D, explaining exactly what B, C, and D are) and...
please help me with this question. it has parts a through c. b: c: Thanks for your generous help. please provide me the answers for this question For the quadratic function f(x) = x2 + 4x - 5 answer parts (a) through (c). (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any. Does the graph off open up or down? 12 8-...
Question 4: Talyor. Maclaurin and Power Series For parts a, b, c and d, use the following function: f(x) = (-3x a) (3 points) Write the Taylor polynomial of degree four for f(x) centered at 0. b) (2 points) Use the Taylor polynomial from part a to estimate the value of e-0.3. (Hint: let find x). c) (3 points) Write the series generated by f(x) at zero in sigma notation. d) (3 points) Find the radius of convergence and state...
1. Consider the function. (a) Draw the level curves of this function for levels c = 0, 1, 2. Please clearly label each level curve with the appropriate value of c. (b) Use the previous answer to sketch the graph (c) Find all first and second order derivatives of this function. (Please label all your derivatives clearly.) (d) Find the equation of the tangent plane to 2.. Let (a) Show that does not exist. (b) Show that does exist and...
For parts a, b, c and d, use the following function: f(x) = e-5x a) (3 points) Write the Taylor polynomial of degree four for f(x) centered at 0. b) (2 points) Use the Taylor polynomial from part a to estimate the value of e-0.5. (Hint: let find x). c) (3 points) Write the series generated by f(x) at zero in sigma notation. d) (3 points) Find the radius of convergence and state the interval of convergence. d) (3 points)...
Please complete all parts (a-h.) and label them clearly. Thanks and I will rate. Tage 10 of 13 7. Let f(c) 2 - 1 1. Let (2) = 72 . Find or determine (a) the domain of f(x) (b) the x- and y-intercept of f(x) (c) the symmetry of f(x) (d) the intervals where f(x) is increasing or decreasing (e) the local maximum and minimum of f(x) (f) the intervals of concavity and inflection points of f(x) (g) the horizontal,...
Please answer all parts of the question and clearly label them. Thanks in advance for all the help. 5. An eigenvalue problem: (a) Obtain the eigenvalues, In, and eigenfunctions, Yn(x), for the eigenvalue problem: y" +1²y = 0 '(0) = 0 and y'(1) = 0. (5) Hint: This equation is similar to the cases considered in lecture except that the boundary conditions are different. Notice how each eigenvalue corresponds to one eigenfunction. In your solution, first consider 12 = 0,...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
please answer the five parts to this question. thank you. a. b. c. d. e. For 25 49 (a) Identify the center. (c) Identify the foci. (e) Graph the hyperbola. (b) Identify the vertices. (d) Write equations for the asymptotes. Give exact answers. Express numbers in simplest form. Part: 0 / 5 Part 1 of 5 (a) The center is