Use Gaussian Elimination Method. 2X + Y + Z = 4 0.1X - 0.1Y + 0.1Z = 0.4 3X + 2Y + Z = 2 X- Y +Z = 4 -2X + 2Y -2Z = - 8

Q: Consider the functions f: R2→R2 given by  f (x,y) = ( 5y−3x, x2)   and g: R2→R2 given by g (v,w)…

A:

Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of…

A: Please be careful when typing

Q: find Numaerical Inteqration by 3-pointsta 3. Sinx (2V3 +3 Idx

A: The given problem is to the approximate of the definite integral using Numerical integration of 3…

Q: 1. (i) Show that if A is an n x m matrix and if B is an m x n matrix, then A # 0 is an eigenvalue of…

A:

Q: Find the equation and sketch the graph of the surface generated by S revolved about the y-axis.

A: We are asked to find the equation of the surface generated  by the surface S revolved about the…

Q: SEGMENT PROPERTIES Directions: Solve for x. Circles may not be drawn to scak. 8. 9.

A: Introduction: If 2 secant segments square measure drawn to a circle from AN exterior purpose, the…

Q: In urban gardens, box hill planters need to fence the garden so that other livestock will not…

A: #considering the garden is rectangular length of the garden is x-7 fencing material required is 4x-4…

Q: 4 a Evaluate In 3. b On the axes below, sketch the graph of y = Inx 3 2 _3 2 -2 -3 ci The graph y =…

A: Given: y=ln(x) To evaluate: (a) ln(3) (b) Sketch graph of y=ln(x) (c) (i) Sketch the new graph which…

Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: answer qui

A: Introduction: By the ratio test, a series an is converges if L<1 and diverges if L>1, where…

Q: Suppose z = a+ bi, w = u + iv, and

A:

Q: linear operator on the finite – dimensional space V. Let c1,...,Cg be the distinct characteristic…

A:

Q: Let P(x1, y1) be a point on the parabola r? = 4py, p> 0, with focus F(0, p). Let a be the angle…

A:

Q: Consider a 2-space with the following metric ds² = rdr² + ydy? (a) Calculate the nonvanishing…

A: Given,A 2-space metric: ds2=x dx2+y dy2To find: a) Connection coefficients, Γ111 and Γ222…

Q: Question 1: Prove that Sn is true for all natural numbern 23 + 43 + 63 + + (2n)' = 2n²(n + 1)² ...…

A:

Q: 2. (i) Let x, y be vectors in R?. Can one find a 4 x 4 permutation matrix P such that P(x y) = y ®…

A:

Q: Let R be a ring such that for each a e R there exists XE R such that ax = a. Prove the following :…

A:

Q: Prove that Sn is true for all natural numbern 1 1 1 1.2 2.3 3.4 n(n + 1) (n + 1)

A:

Q: . Let R be the ring of all complex numbers and R' the a b b a ring of all 2 x 2 matrices of the form…

A:

Q: What is the surface area? 1 m 4 m 2 m square meters

A: Total surface are of a cuboid whose length= l unit,  breadth= b unit , height= h unit  is Surface…

Q: Consider the product of cycles (1 2)(4 7 8)(2 1)(7 2 8 1 5) that are permutations of {1, 2, 3, 4, 5,…

A:

Q: A rectangular tent is made to have a square base with two partitions inside that divide the tent…

A:

Q: Compute the left regular representation of the group G = {e, a, b} given by the group table below by…

A:

Q: +) Use the Euler methad's Salvetue:. C1 )りy=eッh=o.2

A: Euler method, numerical solution of the differential equation

Q: 1. Given the vector u = (2,0, 1). (a) Solve for the value of a so that u and i = (a, 2, a) form a…

A:

Q: Find the Laplace transform of each of the following: 50, t< 0 < 0 (a) f(t) = {1, t z 0

A: Laplace transferom of the function

Q: As4+2s2+B If L(cos(-3t) + t²) = the value of Bis m (s² +9) of

A:

Q: У" - бу + 5у %3DЗе *; у (0) — 2; у'(0) — 3

A:

Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} %3D where a = (1 23 4) and b…

A:

Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} where a = (1 2 3 4) and b =…

A:

Q: 4. The slope of a secant line represents the average rate of change. 5. When simplified,…

A: True. The slope of a secant line represents the average rate of change.

Q: point(s) where f'(x) is negative, positive A B C DE

A: From the graph, we see,              f(x) is decreasing when x &lt; B and when 0 &lt; x &lt; E.…

Q: Suppose that X and Y are topological spaces and f: X- Y. Show that f is continuous iff for each…

A: Definition: Let X and Y are topological spaces and f : X→Y be a function. We say that the function f…

Q: 1.2 Exercises 1. a. Show that o (x) = x² is an explicit solution to dy 2y dx on the interval (-x,…

A:

Q: HW.3 Find y (2.1),y(2.4), y(2.6) For the follomsing table 1 2 3 4 3 -1 10 15

A: We can solve this by using lagrange interpolation formula

Q: Given the following experimental values:.. 1 3 10 15 Fit the given data to a parabola of the…

A:

Q: 15. y = sec'x, y 8 cos x, -T/3 < x< T/3

A:

Q: Find the volume of the solid whose base is in the first quadrant bounded by y = 7- 7x, the x-axis,…

A: To find the volume of the solid whose base is in the first quadrant bounded by the below curves, and…

Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y' = eV1--, y(0) = 0…

A: Existence of solution If f is continuous on an open rectangular interval R{a&lt;x&lt;b,c&lt;y&lt;d}…

Q: Solve

A: We use Mathematical Induction method to prove given example.

Q: 2. Find the sum of all rectangles shown in figure below in t x/2 2/4

A: Introduction: The infinite series formula is used to calculate the sum of a sequence with an…

Q: easured the dimensions of the three perpendicular sides of a r 02 cm Y = 7.25 ± 0.03 cm Z = 9.14…

A: In this question, the concept of the differential is applied to find out the uncertainty in the…

Q: Q3: Construct a 3rd order Lagrange polynomial of the function f(x) = Inx.cosx where x e [1, 4]. Then…

A: Solution :-

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 349 630 19 - 45 등 - 공 + 음프…

A:

Q: Determine d?g/aydx.

A:

Q: of the vector field F across the surface S in the indicated direction. F = x 2y i  - z k; S is…

A: Introduction: The flux of the vector field F is given by the formula, ∮CF.ndS=∫∫∫div(F)dA

Q: Rotate the region bounded by y= x- 2x + 4 and y X+14 about the X- axis

A:

Q: consecutive integers represent the lengths of the sides of a right triangle.

A:

Q: H.W 3.11 Find all max/min points of the function sin x f(x) = Cos X on the interval [0,10] by using…

A:

Q: Consider that, we have the following initial value problem: y' =-+). 1sis2 y(1) = -1 : Use Taylor…

A: Using Taylors series upto second order