The approximation of f, xin(x + 3) dx using two points Gaussian quadrature formula is:

Q: If they are linearly dependent, find scalars that are not all zero such that the equation below is…

A:

Q: x′ = xy y′ = x + y2 - 4 What is the shape of the nullclines of the system and how many equilibrium…

A:

Q: Write each complex number in complex polar notation: (4.053 + 2.042 ) - ( 4.482 + 4.681 i %3D

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

Q: (iii) If u = 461 + 362 and [u]c = then the value of r is and the value of S is (iv) If V = 3c1 + 2c2…

A: Given that  b1 = 10c1 +3c2,  b2 =27c1 +8c2 c1 =-8b1 +3b2,   c2=27b1 -10b2

Q: 3.r – 21 – 4r - 3 dr 12(x² + x +1)

A:

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

A: Given is a function f(x)   First we have to find the root of the given function by Newton's method…

Q: You are given that B= {1+x, 1 – x², x + 2x²} is a basis for P2 and -27 [p(x)]g = 3. If p(æ) = a + Bx…

A:

Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

A:

Q: ーツ

A:

Q: Suppose that A is a 16 x 14 matrix that has 6 pivot columns. Then: (i) dim (ColA) is (ii) dim(ColA)-…

A:

Q: QI) Evaluate the integral dy dx using polar coordinate

A:

Q: using polar cordinade to thd iasde -fnj +x. area

A: Area using polar coordinates is given by A=∫∫A r dr dθHere x=r cos θy=r sin θx2+y2=r2

Q: Q2: Find the Tayler series of the following function with center z, = 5. 5z+2z+1 f(z) 22+5z+6

A: Given function fz=5z2+2z+1z2+5z+6. We have to find the Taylor series expansion given function fz…

Q: Consider the function 7 f(x) = 8x +1 (a) Find the Maclaurin series of the function f(x), stating…

A:

Q: I. Evaluate the following integrals. 1 · J z(9 – In² r}5/2 1. d.x x(9 – In² x)5/2'

A:

Q: Find inside r=2sine out side area rI era

A: Area bounded by polar curves

Q: t Let u = t and W = Span 3 -2 For what value of t is the vector u orthogonal to W ?

A:

Q: Suppose a state lottery prize of $4 million is to be paid in 5 payments of $800,000 each at the end…

A:

Q: orm y(t) = 4e-2cos

A:

Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

A:

Q: Given: x+5 The provided integral: dx V9 – (x – 3)²

A:

Q: In a football game, Team A defeated Team B by a score of 20 to 13. The total points scored came from…

A: Let us solve the simultaneous linear equation related problem in the next steps.

Q: Let f(x) = sin(x). Suppose that h and k are two functions such that W (x) = cos(x), k'(x) = f(x +…

A: Let us solve the differentiation and integration based problem in the next steps.

Q: Let B be the basis of R² consisting of the vectors and let C be the basis consisting of {B} Find a…

A:

Q: The failure of a car's engine follows a Weibull distribution. Such failure rate is described by a…

A: (a) it is given that the failure rate of a car engine is described by a shape parameter of 0.75 and…

Q: For the equation given below, one could use Newton's method as a way to approximate the solution.…

A: Solution

Q: xy j =x+j (ans. j=a² Inc)

A:

Q: Hw.4 heights ave defined by ECX,y) and bases are the regions bounded by the fottowing fon ttion in…

A: Volume bounded by the region in xy-plane

Q: Find the harmonic conjugate of the following function: u(x, y) = e*cosy + x2 – y2

A:

Q: A model created by an engineer is represented by the following multivariable functions w = ze*y¸ I…

A:

Q: [4 1 1 1] 4 1 1 You are given that the eigenvalues of A = 1 1 are 1 4 1 1 1 1 4 7,3, 3, 3, counting…

A:

Q: 2 1 -1 Let W = Span 1 1 . Then, the distance and y = 3 -21 11 from y to W is W is

A:

Q: Suppose that T(0) = a and T(1) = b are some constants. Define the running pairwise average as, for n…

A:

Q: Consider the system of equations da = x(3 – x – 4y) dt dy = y(1 – 3æ), dt taking (x, y) > 0. Recall…

A: Given are system of equations   (a) To Find: Non-zero Horizontal and Vertical nullclines.   (b) To…

Q: uppose that we use Euler's method to approximate the solution to the differential equation dy dx…

A:

Q: Solve: (dy/dx)? + (y – 1 – (x/y)) dy/dx - x/y(y– 1) = 0

A:

Q: (n2 +1)2 n=1 2.

A:

Q: Question 31 2 1 1 U2 = 1 and W =Span{u1; U2, U3}. For 1 Let Uj = Uz = 1 1. 6. in W ? what value oft…

A:

Q: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…

A:

Q: メ1

A:

Q: linear systje is defined by the following equatiosn, -1, -xi + x2 - x3 2x1 + 6x2 – x3 6x1 + 5x2 +…

A:

Q: Approximate the sum of the series by using the first six terms. n+1 6) n² n=1

A:

Q: In parts (a) and (b), find the volume of the wrinkled sphere or bumpy sphere. These solids are used…

A: Given that (a) Equation of wrinkled sphere =ρ=1+0.2 sin8θsinϕ0≤θ≤2π,  0≤ϕ⩽π, 0≤ρ≤1+0.2 sin8θsinϕ In…

Q: If A = (aij) is the matrix of the quadratic form xi+3x, - x - 6x1x2 + 22x1x3+8x2x3, then the value…

A:

Q: Q1) Evaluate the integral dy dx using polar coordinate

A:

Q: 1.1 Determine the following particular integrals: 3 1.1.1 2х D³ -8 1 Ka² – 3)e* } 1.1.2 D² – 2D +3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let V = {(x,6) | x E R}. You are given that (V,Ð, 0) is a vector space with (T1, 6) (x2, 6) = (x1+…

A:

Q: -3 5 11 M = N = -6 2 Find MN ii) Solve the Linear System using Cramer's Rule (or otherwise) -11x + y…

A: i)

Q: 1. Let V be the region between the two spheres x2 + y? + 22 x2 + y? + 22 = 2 for z > 0. Let S be the…

A: The solution is below.

Q: (NAS 4) Given, A = x²zî – 2y°z²j + æy?zk Find divAat the point (1, –1, 1)

A: