Without using the Matlab software, solve the following: Show your computation manually. (Use short bond paper) Solve the following system of linear equation by (a) Gaussian elimination (b) Gauss Jordan and (c) Inverse matrix. 1. -x₁ + x₂ + 2x3 = 1 2x₁ + 3x₂ + x3 = -2 5x₁ + 4x₂ + 2x3 = 4

Q: SOLVE THE DIFFERENTIAL EQUATION, d²y d²y -y = USE THE METHOD OF VARIATION OF PARAMETERS sinh 2x

A: Please find attachment

Q: What is the cost function?

A: a)  the cost function is given as C(x)=average cost * total number of units so cost function is…

Q: Geometric series: For the given geometric series (1) Find the first term a and the ratio r and write…

A: Given series 240164-34316+494-7+4-.... The first term is 240164 The common ratio is…

Q: 26 Suppose a, b, c and d are functions of a single variable t given by the formulas a(t) = et, b(t)…

A:

Q: Which of the following is a normal vector to the plane which is parallel to vectors (0,−3,1) and…

A:

Q: 3. The principal normal vector field is defined by : r' (t) (a) \T' (s)\ (b) (c) |T'(s) | [r' (t)]…

A: Given : rt=cos3t,sin3t,0 To find : Length of r and  principal normal vector field .

Q: A All B (ii), (iii) D E None (i), (iii) (i), (ii) Suppose such that (i): (ii): : Z→ Z40 is a group…

A: Please find attachment

Q: Suppose n(ANB) = 9, n(AUB) = 27, and n(A) = 13. Use a Venn diagram to determine n(B). n(B) = ... C U…

A:

Q: Find the basis for the given vector space and determine it's dimension. All 3 x 3 symmetric…

A:

Q: Graph the function y = 2[f(x - 1)] + 3 using transformations on basic function y = f(x) shown below.…

A:

Q: 1) Error analysis Consider the problem of solving Ax = b for the unknown x € R² with a 1) A 1=((a…

A: It is given that the equation Ax=b for the unknown x∈ℝ2 with, A=aa-1a-1a-2 where a∈ℝ and a>2. It…

Q: If B= {(1,1,0), (0,1,1), (−1,0,2)} is a basis of R³, then the coordinate vector of v= (8, -5, 3) in…

A:

Q: Let A be an n x n matrix A for which det(A) = 0. Tell whether each of the following is true or…

A:

Q: II. Solve the following initial-value problems (IVPS): (a) dx = 4(x² +1), x (7) = 1 dt

A:

Q: Y dx +36x=0

A:

Q: QUESTION 1: Find the eigenvalues and eigenvectors of matrix A, where A = 632 364 246

A: A=632364246∴A-λI=0⇒6-λ3236-λ4246-λ=0⇒λ3-18λ2+79λ-90=0⇒λ1≈1.812, λ2≈4.113, λ3=12.075 Hence the eigen…

Q: 4e4* sin(2y) Given f(x, y) = 4e4x then Vƒ(0,7) - [ 2

A: The operator ∇ is defined as: ∇=i^∂∂x+j^∂∂y. Hence, the gradient of f can be written as:…

Q: 8. A wine warehouse expects to sell 30,000 bottles of wine each year. Eac- of $200 per order. If it…

A:

Q: Let A = 1 -X -X X 1 -x X X -1 Find x such that A is invertible.

A:

Q: Which of the following numbers satisfy the equivalence relation: 3m 1 mod 14 25 None of the Above

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Prove the following statement: If for some ne Z>1, 2" - 1 is prime then n is prime. by both…

A: Recall Contradiction and contrapositive rule.

Q: (a) Find invertible matrices A and B such that A+ Bis not invertible.(b) Find singular matrices A…

A: a) We have to find the invertible matrices A and B such that A+B is not invertible. b) We have to…

Q: When we perform a 'digit slide' on a number, we move its unit's digit to the front of the number.…

A:

Q: A comedian knows seven jokes, two are about the weather and five are about sports. In how many ways…

A:

Q: A projectile is launched from point A with the initial conditions shown in the figure. Determine the…

A: Given that     v0=148 m/s                      α=22o                      θ=33o         vx=v0cosθ =…

Q: The remaining problems require you to construct a mathematical proof by induction. Remember, if you…

A: Mathematical induction is used

Q: Explain, in terms of linear approximations or differentials,why the approximation is reasonable.…

A: We know that approximation can be done by using linearized model of the function, Lx≈fa+f'ax-a. Let…

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A:

Q: Suppose a company's revenue function is given by R(q) = -q³ +280q² and its cost function is given by…

A:

Q: IDENTIFY THE TYPE OF THE DIFFERENTIAL EQUATION GIVEN BY X² y" + 5xy¹ + 3y = 0, AND THEN, ху SOLVE IT…

A:

Q: Let A be a 2 x 3 matrix and B be a 3 x 2. Which of the following gives a 3 x 3 matrix as a result?…

A:

Q: 4. Given f(x, y) = cos(x²). a) Draw the region that is the base (or footprint) the surface, b) Setup…

A:

Q: An electric circuit is described by the system of differential equations #()-(²)() 15 Find the…

A:

Q: Shade the Venn Diagram for the set (BNA) UC ... Use the graphing tool to shade the regions. Click to…

A: We have to find the shaded region of the given set by venn diagram.

Q: 1. Find the next three values in the sequence: 1, 3, 9, 27, 81,. Is this growth pattern linear,…

A: 1.  1,3,9,27,81 Growth pattern is exponential.  Ratio = 3/1 = 3 Next term =81×3 =243

Q: a) Relation R is defined on Z as follows: for every a, b € Z, a R bif 4 | (a - b) (i.e., 4 divides…

A:

Q: Problem 2 (20 points) Given tan0 = -4 and sin0 >0. Find the exact values of sine and cose (without…

A:

Q: 3. Determine whether the series converges. k +1 k²-2 k=1 (a) Converges (b) Diverges

A:

Q: X 2) x² = 9x-2y + sant y' =25x-y-cost

A:

Q: he advertised mpg for new cars is based on a speed of 45 mph. As speed increases above 45 mph, the…

A: Answer :- Given   2% less efficient at 50 mph  20% less efficient at 60 mph

Q: 2. Given f(x, y) = 2 + 12x²y. a) Draw the region that is the base (or footprint) the surface, b)…

A: The given function is f(x,y)=2+12x2y. (a) To Sketch: the base of this function. (b) To SETUP: the…

Q: Question 4. Find the curvature and the torsion of the curve F given by x(t) = a cost, y = sint, z =…

A:

Q: Write a triple integral in cylindrical coordinates of the function f(x, y) = x+y over the region…

A: A triple integral involves the integral with respect to the product of variables x,y and z. In this…

Q: A company has a tax bill of $14,930 coming due in 10 months.  They would like to save for this bill…

A: Let $x is the amount of money deposited each month  So at the end of first month, the bank account…

Q: Given that and det(A) = 8, evaluate the following: a. 3 det(A2) = b. det(A-1) = c.…

A:

Q: In the game of Mastermind, one player selects a code by inserting any combination of four pegs in a…

A:

Q: D The region D above can be describe in two ways. 1. If we visualize the region having "top" and…

A: The given region D is as follows

Q: A mountain incline climbs from an elevation of 6560 feet to 8591 feet above sea level. The fastest…

A:

Q: Sketch the graph of the quadratic functions and find the following: f(x)=-x^2-6x-4 (a) Vertex (b)…

A:

Q: Let V be a finitedimensionalvector space and let {v1, v2, . . . , vn} be a linearlyindependentsubset…

A: Given: V is a finite-dimensional vector space and v1, v2, . . . , vn is a linearly independent…