By transforming to principal axes, reduce the quadratic form x' Ax for 2 2 1 A = 25 2 1 2 2 to a sum of squares.

Q: [5] A convex quadrilateral is determined by the points of intersection of the curves a¹ + y = 100…

A:

Q: 1- Simplify the following :- 3139-119 21-1

A:

Q: Evaluate each integral. *x+y ["ya [ y dz = *x+y [*** Jx-y y dz dy = • JL.Y [y dV, where E = {(x, y,…

A:

Q: 4 3. Find the general solution of y”. y + I 6 12 y =

A:

Q: (4) Let G be the set of symmetries of a cube (not necessarily preserving orientation). Determine the…

A: Recall that the stabilizer of vertex means it should fix the vertex. A rotation around 120 around…

Q: Prove a^2 +4a+3 is odd if and only if a is even.

A:

Q: Let "A" be a 2 by 2 matrix. Given that Det (A) = 3. Find the Det (5A)

A:

Q: Find the value of objective function of the initial solution of transporting problem using…

A: Objective function Min : 3x11+8x12+x13+2x21+4x22+5x23+9x31+6x32+7x33…

Q: Determine whether the problem has multiple solutions, unbounded solutions, or no feasible solutions.…

A: The problem has unbounded solution

Q: Find the order of 5 modulo 2^100.

A:

Q: Evaluate Jr se x sec² (xy) dV, where R : 0 ≤ x ≤ 0≤ y ≤1.

A:

Q: Let A E BL(H). Then A is called normal if A*A = AA*, uni- tary if A*A = I = AA*, that is, A* = A−¹,…

A:

Q: .) Find the volume of the regions bounded by the cylinders x² + y² = A² and y² + z² = A²

A:

Q: Plot the points whose coordinates are given. * (21) a. b. 3, π 3π - 4' 4 S

A:

Q: Give an example of each of the following or prove that such a request is impossible. a) Unbounded…

A:

Q: Use the information given in the figure below to construct a mathematical model for the number of…

A:

Q: sin²x, - TO T X<2 Find the intervals in Let f(x)=sin³x+λ 2 which should lies in order that f(x) has…

A:

Q: 21. ¹3 cos(x) = ..... (a) - sin(t) (b) - cos(t) (c) - cos(t) (d) - sin(t)

A: We know that 1FD2cosax+b=cosax+bF-a2  for F-a2≠0 that is the rule is to replace D2 by -a2…

Q: Transform: f(t) = cos² at F(s) F(s) F(s) = = = F(s) = = S s² - 2a² s(s²+4a²) 2 2a² - s² s(s²+4a²)…

A:

Q: et y(t) satisfy the following 2nd order ordinary differential equation: " — 5y' — бу = 3, with…

A:

Q: Question 4. Suppose that f: [a, ∞) → R is continuous in [a, ∞). If lim f(x) exists and is finite,…

A: Let f:[a, ∞)→ℝ is continuous in [a, ∞). Given that limx→∞fx exists and finite. To prove that f is…

Q: Suppose the following graphical representation of columns in optimization model and RHS vector (b).…

A:

Q: 1.    Consider a random 3 digit number. (a)    How many ways can such a number be created?  b)How…

A:

Q: 24 [ 0 At³e(-0.4t) dt

A: Since you have asked multiple question, we can solve first question for you. If you want other…

Q: Using Polya’s strategy: How many different rectangles with an area of one-hundred twenty (120)…

A:

Q: Problem 2. Give an example of a function f: X Y and subsets A, B C X such that: f[A] - f[B] #…

A:

Q: Find the average rate of change of the function f(x)=√x from x₁ = 36 to x2 = 49. The average rate of…

A:

Q: Find an optimal solution of the optimization problem min f(x) = (x₁+x₂)² + (3 − 2x₁ + x₂)² +…

A:

Q: 5. Consider the set of vectors B= 8 # and the vector y=-9 a. Show that S is a basis of R³. b. Find…

A:

Q: Transform: f(t) = 5t6e-4t O F(s) = O F(s) O F(s) = O F(s) = ○ F(s) = O F(s) = 30 (8+4)* 30 (8-4)…

A:

Q: 4. u(0, 1) = 0, u(π, t) = 0, t>0 0<x< π/2 u(x, 0) = = π-x, π/2<x<T 13.3 Heat Equation 72

A: We solve the problem by the method of Saperation of variable. In this method we consider the…

Q: Transform: F (s) = 4s-16 s²-6s+13

A:

Q: A store specializing in mountain bikes is to open in one of two malls. If the first mall is…

A: Given,  If the first mall is selected then profit = $ 600,000              If the first mall is not…

Q: Transform: f(t) = 4t² sinh5t O F(s) = O F(s) = O F(s): OF(s) = O F(s) = OF(s) = O F(s) = O F(s) = =…

A:

Q: 4. Let F = (−y, 0, x² + y²), and S = {(x, y, s) : 4x² + y² ≤ 7⁄, z = sin (4x² + y²)}. Compute [ [ (V…

A:

Q: Transform: F (s) 48-16 8²-68+13 O f(t) = 4e-3t cos2t - 2e-3t sin2t O f(t) = 4e³t cos2t4e³t sin2t O…

A:

Q: The sconomy of a small island nation is based on two seciors, agrioulture and tourism. Production of…

A: Given that the economy of a small island nation is based on two sectors, agriculture and tourism.…

Q: Let an be recursively defined by ao = 2, an+1 = √5an for n ≥ 0. Show that the sequence converges,…

A: Limits of the bounded sequence

Q: =o ex) Solve the D.E. (x+y) dx + (x+zy) dy - that satisfies the initial condition y ez) = 3 ?

A:

Q: The adjacent table gives the number of worldwide Internet users, in millions. Complete parts (a)…

A:

Q: A function y = f(x) is represented parametrically as follows: x = o(t) = t-5t³ - 20t+7 y = y(t) =…

A:

Q: Find the lowest possible root of the function f(x)=x² + 12x4-10x³ - 7x² - 10 using Bisection Method.…

A: As per the question we are given the following 7th order polynomial equation : f(x) = x⁷ + 12x⁴ -…

Q: (5) Prove that every group of order 3 is cyclic.

A:

Q: 2 Points Solve the following 2-dimensional linear programming problem graphically: maximize: 3x1 +…

A:

Q: Let S = {a+bx+cx²: {V₁, V2, V3} and T and = {w₁, W2, W3} be two bases in the vector space P₂ a, b, c…

A:

Q: (5) Let ƒ: R \ {1} → R be the function given by f(x): = 2x - 3 x-1 (a) Prove that f is injective.…

A:

Q: Which word is used to refer to the "orientation of an object": heading pitch attitude bank Oheading…

A: in geometry,  orientation of object means how a plane or object occupies in space.  similar word…

Q: Let W be the set of all vectors of the form shown, wherea, b, and c represent arbitrary real…

A:

Q: The function f(x) = lax - bl + c|x| : x in (-∞, ∞), where a > 0. b>0, c> 0 Find the condition if…

A:

Q: (2) Chapter 6, exercise 7.11: Prove that the only subgroup of order 12 of the symmetric group S₁ is…

A: We know that A4 is subgroup S4 of order 12  We have to show that A4 is only subgroup of S4 of order…