6. (12 pts) (Polynomial decomposition) Find the values of a, b, c,d such that the following...
8. Consider the real matrix As -1 0 (a) (3 pts) Find the singular values of A. (b) (4 pts) Find a singular value decomposition of A. (c) (3 pts) Find 8. Consider the real matrix As -1 0 (a) (3 pts) Find the singular values of A. (b) (4 pts) Find a singular value decomposition of A. (c) (3 pts) Find
6. (25 pts) Find the osculating polynomial, P, interpolating the following table of data, and evaluate P(1): -1 2 f(x) f'(x -4 2 1 5 -4 f"(x) -12 6. (25 pts) Find the osculating polynomial, P, interpolating the following table of data, and evaluate P(1): -1 2 f(x) f'(x -4 2 1 5 -4 f"(x) -12
Question 2 3 pts Find the electric potential energy, U, of a test charge, 4. = 34.0 pc, placed at point p (at thecenter of the rectangle) as shown below. Take k = 9.0 x 109 Nm2/C2 1.0 UC = 10-6 C. Please round your answer to two decimal places. 9,- -30 uc 9.- -10uc 1.2 m 9--2000 1.6 m 9-40C Equations: First, determine the electric potential at p V, =* +++) 11, 12, 13, 14 are the distances of...
Help plz! 18. (a) (6 pts) Use a definition of a Taylor polynomial to find the Taylor polynomial T2(2) for f(1) = 13/2 centered at a = 4.
Write a program in C++ to find the solution to a polynomial, given the coefficients A, B, C in the equation below. Ax^2 + Bx + C = 0 Use the quadratic equation, there should be 2 solutions. The solutions should have 2 decimal places Sample output is given below. Enter coefficient A: 1 Enter coefficient B: -1 Enter coefficient C: -6 The two solutions to this equation are 3.00 and -2.00
7. Consider the following matrix (a) Find the QR decomposition of A using the Gram Schmidt process. (b) Use the QR decomposition from (a) to find the least-squares solution to Ax = b where -3 7. Consider the following matrix (a) Find the QR decomposition of A using the Gram Schmidt process. (b) Use the QR decomposition from (a) to find the least-squares solution to Ax = b where -3
[12 4. Find the characteristic polynomial, the eigenvalues and corresponding eigenvectors of each of the following matrices. -2 3 (a) (b) 2 3 2 6 -6 2 -1 NN 1
11. Find the nth Maclaurin polynomial for the function a) f(x)e2,n 3 b) f(a)cos3x, n 4 12 Find the intommlc 11. Find the nth Maclaurin polynomial for the function a) f(x)e2,n 3 b) f(a)cos3x, n 4 12 Find the intommlc
6. Find values for a,b,c,d so that the curveyx + x + bx? + + has a tangent line at whose equation is y = 2x + 1 and a tangent line at: - I whose equation is y=2-3x
need the right answer only ( choose a,b,c,d or e) 16 Solve the following quadratic equation using any convenient method. 21 Parfoem the addition or suberaction and write the result in standard fom (4-9- 162 (5-1)-(3-1) 4 6 22 Parform the oparation and write the result in standard form (1+4-) a 8+ 7+ 9+ 4 11 10+ Find all solations of the cqution Check your solutions in the original eqution 0 2 S+40x+80-0 a t5,0 b 4,0 4,0 d4,0 -5,0...