True/False: If A is diagonalizable, then so is AT.

Q: Paige has the utility function U(x, y) = ln(x) + 4y. Do not worry about corner solutions when…

A:

Q: 3. Write a proof for the following statements. (We have started the work for a.) a. If A5 = I then A…

A:

Q: For each of the following, determine whether the given numbers represent lengths of sides of a right…

A: Formula:(Hypotenuse)2=( Perpendicular) 2+(Base) 2a

Q: E Clear All Draw: Line Segment B Find any Hamiltonian circuit on your complete graph. Give your…

A: We need to find a Hamiltonian circuit for the given graph.

Q: . Let S denote the sphere centered at (5, 0, 4) with radius 3, oriented so that the top of 5 points…

A:

Q: A tank pe of an inverted cone (with the point at the bottom). The cone has a diameter of 6 m and a…

A: Volume: Volume of this slice = πr2dhMass:Mass of this slice = Volume of slice Density of waterForce…

Q: Consider the initial value problem y' = y√t over the interval [0, 0.3] with initial condition y(0) =…

A:

Q: ) Find all primitive roots modulo 7.

A: We have to find all primitive root modulo 7.

Q: Question 3 i need a time not how many hours or minutes

A: A boat requires a depth of 8ft to set sail, and it is docked at 12:00 pm. What is the earliest time…

Q: Find an Euler path. В ОС E

A: An Euler path is a path that uses every edge of a graph exactly once.

Q: Exercise 11.1.4 For u, v vectors in R³, define the product u *V = U₁v₁ +2u₂v2+3u3v3. Show that u*v ≤…

A: This follows by applying the CS inequality

Q: For the same X [X₁ X₂ X3] where the clusters are x₁ = [9]), ³x₂ = [² 3], x₂ = [4] 2 find the…

A: The objective of this question is to calculate the within-cluster scatter matrix (Sw) and the…

Q: ----2 0 2 y = f(x) 4 6 8 x g(x) = f* f (t f(t)dt Find all local maximum and local minimum values of…

A:

Q: w #43 Let Let n>2, a; > 0, ;=1,2,.. and aita₂+ ... + an = | prove that a, 2-9₁ + az 2-92 + + an 2-an…

A:

Q: 4. Use variation of parameters to find a particular solution of the DE y" - 4y' + 4y = 21 and then…

A: Given differential equation Note: According to the guidelines we are allowed to solve one question…

Q: Let L be the line passing through the point P(1, -1, -2) with direction vector d=[3, −4, 0]T, and…

A:

Q: Draw an example of a relation that is a function and an example of a relation that is not a…

A: A function is defined as a relation between a set of inputs  having one outputs.

Q: T T T F F F 11. 12. 13. If ab = 0 (mod 3), then a = 0 (mod 3) or b = 0 (mod 3). If ab = 0 (mod 6),…

A:

Q: Let the position vector (with its tail at the origin) of a moving particle be ~r(t) = t^(2)ˆi − 2tˆj…

A:

Q: Consider the following linear optimization model: (P) max s.t. x1 + 2x2 -x1 + x₂ ≤ 6 x12x₂ ≤ 4 x1,…

A:

Q: Using the Gram-Schmidt process, construct an orthogonal basis for V con- sisting of vectors with…

A: Let's denote the given vectors as , , and :v1=[122],v2=[110],v3=[1−15].1. Start with .2.…

Q: F(x) = F(x) = √5 + sec (31)dt | Hint: F(x)=√5 + sec (38)dt = -- √5 + sec (31) dt) -

A:

Q: Suppose all supplies and demands are integers in a transportation problem. Then the optimal solution…

A: LP relaxation allows for fractional values in the solution, especially when using techniques like…

Q: Prove directly that there cannot exist a homomorphism : Q8 that (j) = (1234) and (k) = (5314). S5…

A:

Q: 1. Find the Taylor series for sinh(2) (ex - e-x) (² at 0 and explain why the series converges to…

A:

Q: T F 5. To prove the statement: If ab =0 then a = 0 or b = 0, you may assume ab = 0 and a # 0 and…

A:

Q: Let S denote the surface of the ellipsoid 4x² +9y² + z² = 12, oriented i F. ds, so that the top of 5…

A:

Q: x+2 4 e. f'(x) = 1-2, x ±0 f. f'(x) = x-¹/³ (x + 2) -1/3, g. f'(x) = (sin x − 1)(2cos x + 1).0 < x <…

A:

Q: Let b₁ = [¹3] and 62 = [₁¹]. T(62) = 661 +362. (a) The B-matrix of T (in other words, the matrix of…

A:

Q: Determine whether the following series converge. You do not need to calculate their values. IM8 (-1)…

A: Determine whether the following series converge.

Q: 0 i 0 Let A = 1 10 as a matrix over C, where i = √√-1. Li 0 i Find p₁(x), m₁(x) and determine if A…

A: Eigenvalue: A number  is said to be an eigenvalue of a matrix A if there is a non-zero vector xsuch…

Q: Consider the system [6-48-28-3] T 0

A:

Q: . limx→∞ f (x) = limx→∞ sin(x) · limx→∞(√√x + 2 − √√x)

A:

Q: Let S be the surface shown in the following figure in the first octant in the xy-plane, and let 7 be…

A:

Q: = A consumer has Marshallian demands 9x (Pa, Py, I) = I the indirect utility function V(Px, Py, I)…

A: We are asked with calculating the substitution effect on good resulting from a marginal increase in…

Q: True/False: A non-zero sum of two eigenvectors of a matrix A is always an eigenvector. O True O…

A: We show that the result is false using counter example.

Q: Find the surface area generated by revolving the curve c(t) = (t, e¹) about the x-axis for 0 ≤ t ≤…

A:

Q: 1. Let F(t) = sint for t€ [-T/2, π/2]. Calculate (a) f/² xdF(x). (b) 2 xdF(x).

A:

Q: For each of the following, set up either a system of equations in two variables or a quadratic…

A: We know that the perimeter of a rectangle is 2(l+w) where l is length and w is width. We can set up…

Q: To find the distance AB across a river, a distance BC= 205 is laid off on one side of the river. It…

A: Given that a distance is laid off on one side of the river. It is found that and…

Q: 2 f(x) 2 (6,2) R 20 6 g(x) 8 X 2 and y The functions f and g are given by y = √x = 8 - x. Let R be…

A:

Q: Suppose ƒ and g are continuous at a. Prove the following using e-d arguments. (a) fg is continuous…

A:

Q: A sandwich store charges a delivery fee to bring lunch to an office building. One office pays $33…

A:

Q: 14. A 15 ft ladder is leaning against a wall. The base of the ladder is 3 ft from the wall. How high…

A: In abobve figure:AC =  length of the ladder ( Hypotenuse ) = 15 ftBC =  The ladder is 3 ft from the…

Q: Exercise 11.3.3 In R4 with the usual dot product, find an orthogonal basis for KOUD 1 span

A:

Q: Problem 1. (Arclength) Given the curve defined by the parametric formula e(t)-(t.-Int) where 1≤t≤2 8…

A:

Q: Consider the matrix 0001 1 30 30 1 4 4 14 0 0 6410 5 1 1 3 0 The maximum number of independent zero…

A: The minimum number of lines needed to cover all zero entries in a matrix is equal to the maximum…

Q: 2. Problem 2 Let A = 2 1 -1 1 -3 -1 1 0 1 1 " W = col(A), and x = 3 -4 -1 2 (a) Find Projw(x). (b)…

A:

Q: Consider the following matrix: 1 2 3 0 -3 A-3 6 -9 09 -2 5-9 -29 Give a basis for each of im(A) and…

A:

Q: The purchase price of a condominium is $121,500. A down payment of 22% is made. The bank charges…

A: