fj+1 - fj-1 2Ax Assuming a uniform grid spacing of Ax, derive a finite difference approximation to f; using information from the five points xj-2, xj-1, Xj, Xj+1, is 4'th-order accurate. and X'j+2• Show that the approdximation

Q: Get the interval and radius of convergence of this given power series (х — 3)" | n n=1

A: Given series is ∑n=1∞ (x - 3)nn

Q: Use Gauss-Jordan Elimination to solve the following system. Identify the Gaussian Matrix and the…

A: We use Gauss-Jordan Elimination method to solve the given matrix.

Q: The total number of thousands of tons of coal produced per year over a 10-year period for a certain…

A: The complete solution is in given below

Q: Formulate a LP model for the OECS bank that will maximize net returns from the loans division and a…

A: formulate a L.P model for the OECS bank that will maximize net returns from the divisions and a…

Q: 5. In previous problems dealing with two species, one of the animals was the predator and the other…

A: (b) we have given the system A dxdt =-5x+2xydydt =-4y+3xy we have to determine all the equilibrium…

Q: A rectangular frame is to be divided into 3 and parallel to one of the sides. Find the measurements…

A: The complete solution is in given below

Q: Consider a, b ∈ R where a < b. Use Denseness of Q to show there are infinitely many rationals…

A: To prove: There are infinitely many rational numbers between a and b, where a,b∈ℝ, with a&lt;b.

Q: 1 1 1 1 be a . If A,= a a b c C,A, =1 ca b then: 1 ab c (a) A, +A, =0 (b) A, +2A, =0 (c) A, = A, (d)…

A: It is given that ;     Δ1 = 111abca2b2c2       and    Δ2 = 1bca1cab1abc We have to find the relation…

Q: Find f(t). 4s - 1 L-1 13:(5+1)3]

A:

Q: |1 a а2 A = |1 b b² b b23 (b — а)(с - а)(с — b) %3D c2

A:

Q: Find the number of zeros of f(z) = 2z* – z + 5z – 1 in the annulus 1 < |z| < 2. %3D

A:

Q: 5. Chose the curl of f (x, Y, z) = x² i + xyzj-zk at the point (2, 1, -2). a) 2i + 2k b) – 2ê-23 c)…

A:

Q: A compact disk spins at a rate of 200 to 4000 revolutions per minute. What are the equivalent rates…

A: As per the company rule, we are supposed to solve one problem from multiple problems. Therefore…

Q: Vy E R Ja E R [ (x² + y² + 1)ª+y+1 = 1] O True O False

A:

Q: Roundoff errors came from chopping infinite terms in a mathematical expression. True O Fabe

A: The solution of a problem obtained by numerical method contains some errors. To minimizing the…

Q: Find the directional derivative of V.U at the point (4, 4, 2) in the direction of the corresponding…

A:

Q: Complete the table to express the values of each of these Boolean functions. F(x, y, z) xỹ + (xyz)…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Let V be the subspace of R spanned by v = . Describe V+ by finding a basis of

A:

Q: Given 4 1 -3 -1 2 A = 3 4 -6 8 0 -1 3 Determine the rank of A.

A:

Q: 5. Determine the Fourier cosine series of f(x) = n²– x² 0<x<1

A: We have ,  f(x) = π2 - x2 We need to find Fourier Cosine series of f(x). We know that , Fourier…

Q: Find the Inverse Laplace Transform of 2+4s +4 B -21 te -12 2.

A:

Q: find the Laplace transform of x3

A: Given : To find the Laplace transform of x3

Q: Use Forward and Backward differentiation to f' (1) calculate as accurately as you can. Let h = 0.08…

A: To find the value of the derivative at a point x by forward and Backward differentiation with step…

Q: Find the solution. (D³ - D']y = 0 y = c, +cx+czx²+c,e'+cge" y = (e, +c,)xe* +czx +c,e +cge* (c y =…

A:

Q: Problem 5. Find all primes p such that 1+p: 2P is a perfect square.

A: We have to find all prime p such that 1 + p×2p is a perfect square.

Q: investment products were made available to the small businesses and single entities. These…

A: Here we generate a equation then solve that.

Q: A housing contractor has subdivided a farm into 100 building lots. She has designed two types of…

A:

Q: Let 3 -7 ,V = u -3 -3 4 and let W the subspace of R* spanned by u and v. Find a basis of w', the…

A:

Q: On July 3, the ABC corporation closed at $43.67. This was a $0.47 increase from the close the day…

A: Given on July 3 the ABC corporation closed at $43.67. this was a $0.47 increase from the close the…

Q: 5? 5 5*| The value of 5' 5 5 is: (a) 5? (b) 0 (c) 513 (d) 5

A: In the given problem we have to find the value of the determinant.  We find the value of the…

Q: -1 sec d0 2.

A:

Q: f(t) = t cos 4t 8s 8s А. (s2-16)2 C. (s2+16)2 s2 +16 В. (s² –16)² s2-16 D. (s2+16)2

A: We have to find the Laplace transformation of ft=tcos4t

Q: factor

A:

Q: Let so and A be positive numbers and consider 4). 1 Sn+1 = n 2 0. Sn Sn 1 (a) Show that sSn+1 2 VA…

A:

Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

A:

Q: Draw a sketch of a position-time graph, corresponding velocity-time graph, and corresponding…

A: If position vector given by s(t) then velocity vector v(t) =s'(t) and acceleration vector…

Q: Suppose there are balls of 6 different colors, i.e., Red, Blue, Green, Yellow, Black, and Brown, in…

A: given total number of color of balls =6 also, there are exactly 25 indistinguishable balls of each…

Q: Compute the following limits using L'Hospital's rule if appropriate. Use INF to denote oo and MINF…

A:

Q: Mr. Banker loans money at an APR of 20 percent. Interest is compounded monthly. What is the actual…

A:

Q: Which one is not equal to o V(x + 3)³ dx. lim, 100 E i=n-1 (음 + 3)3. O lima-00 1ri=n-1 Li-0 2i+1 +…

A:

Q: 3) A study indicates that spending money on pollution control is effective up to a point but…

A:

Q: Let O = (0,0), and a = (2, –1) be points in R?. Set %3D G = Bd² (O, 1) = {v = (x, y) € R² : d2(O, v)…

A:

Q: Find the directional derivative of V.U at the point (4, 4, 2) in the direction of the corresponding…

A:

Q: 5 =DA

A:

Q: Card 1 Card 2 16 17 18 19 20 21 22 23 4 5 6 7 12 13 14 15 24 25 26 27 28 29 30 20 21 22 23 28 29 30…

A: In a card trick, a number between 1 and 63 is chosen from the cards. The chosen number lies on cards…

Q: Find the chromatic numbers of the following graph Color the graph with chromatic number of colors.…

A: Given us a diagram so we can coloured it with diffrent colour since no two colour  can give to same…

Q: 2 = 1+ 2i 2- i and w = what is z + 3w ? a. 7+i C. 5+ i b. 7-i d. 5-i

A: Solution

Q: If 0 is the angle between the vectors a and b, then prove that a ·b = |a||b|cos0. Hint: refer to the…

A: Given  if θ is the angle between the vectors a and b  we have to prove that a·b =abcosθ by using the…

Q: 1 -1 2 -1 1 1 A = 1 1. 2. 1 1 3. 3 2 0. -10 0 -10 want -5 0 0. 2. B = 2 10 4 -5 -4 -2 From the given…

A: