The function f(x,y) = 6xy has an absolute maximum value and absolute minimum value subject to the constraint 3x² +3y² - 5xy=121. Use Lagrange multipliers to find these values. Find the gradient of f(x,y)=6xy. Vf(x,y) = (6y,6x) Find the gradient of g(x,y)=3x² +3y² -5xy-121. Vg(x,y) = (6x-5y,6y-5x) Write the Lagrange multiplier conditions. Choose the correct answer below. A. 6y=2(6x-5y), 6x = 2(6y-5x), 3x² + 3y² -5xy - 121=0 O B. 6x=2(6x-5y), 6y=2(6y-5x), 3x² + 3y²-5xy-121=0 OC. 6xy=2(6x-5y), 6xy=2(6y-5x), 3x² + 3y² -5xy-121=0 O D. 6x=2(6x-5y), 6y=2(6y-5x), 6xy=0 The absolute maximum value is (…)

Q: K Determine the effective annual yield for each investment. Then select the better investment. 11.5%…

A:

Q: Problem 6. Explain why the coefficient of x'y the same as the coefficient of x'y in the expansion of…

A:

Q: Glucose Concentration When glucose is infused into a per- son's bloodstream at a constant rate of c…

A: The amount of glucose present in the bloodstream at time t is g(t)=ca+g0-cae-at where here g0=0.08,…

Q: Thank you. Whats the far right part after C1+C2=5X4= 4C1+4C2=20 and the following line. I get the…

A:

Q: Consider the following all-in eger Max 1x₁ + 1x2 s.t. 5x₁ + 7x₂ ≤ 42 1x₁ + 6x₂ 18 15 2x1 + 1x₂ X1…

A:

Q: 7) Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A - { 0, 2, 5, 7, 9} and Set B – { 1, 3,…

A:

Q: Can we obtain a diagonal matrix by multiplying two non-diagonal matrices? Give an example

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: parents of a newborn boy begin saving for his college education. They plan to have $150,000 in a…

A:

Q: Let (A, *) be a group. Let B be a subset of A such that 2|B| > a= b₁ |A|. Show that, for any a in A,…

A:

Q: Cutting Edge razor blades come in small, medium and large packages. The small package has 6 blades…

A: Let us consider the given system of equations is Ax=b. The system of equations is solved using the…

Q: Michelle bought a new car for $21,000. She paid a 10% down payment and financed the remaining…

A:

Q: Can you please answer the same question but show all of your work ON PICTURES! Explain step by step.…

A:

Q: 50. Use the Theorem of Pappus to find the volume of the solid formed by revolving the region bounded…

A: Consider the solid region bounded by the graphs of y=x, y=12, and x=0, So, the region of the…

Q: At age 30, you decide to deposit $150 at the end of each month into IRA that pays 4.5% compounded…

A:

Q: Algebra what is the overall dilution of this tube? tube 1) 1:10 tube 2) 1:8 tube 3) 1:5   a) 1:40…

A: Overall dilution of the tube

Q: Choose the correct inverse of the given matrix   2 3 2 4

A:

Q: yy" — (y')² = y'

A:

Q: Given f(x,y)=x³-4x - 3xy + y2, the saddle point is ( ) and the local minimum is ( ). Round your…

A:

Q: K Suppose that you borrow $12,000 for three years at 5% toward the purchase of a car. Use PMT= to…

A:

Q: Let A, B, C, D be sets. Prove the following properties of set products. (i) Distributive Property: A…

A:

Q: Prove that a set B = {V₁, V2,..., Un} is a basis of a vector space V if and only if every vector in…

A: Recall: a set is a basis for V if(1) it spans V, and(2) it is linearly independent.(1) holds for β…

Q: 6.6 Solve the following system of congruences: = 12 (mod 25) = 9 (mod 26) = 23 (mod 27). x X x

A:

Q: uppose that at 12:01 a.m. on January 1 (just after midnight), there is one cell. And suppose it…

A:

Q: Let T be a linear transformation from V to W. Prove that the imageof V under T is a subspace of W.

A:

Q: Let H be a subgroup of a group G. Prove that the number of conjugates of H in G is |G:N(H)|.

A: It is given that H be a subgroup of a group G. It is required to prove that the number of conjugates…

Q: Complete the matrix representation for the linear transformation T: P₂ → P₂ given by T(ax² +bx+c) =…

A:

Q: Is a subset of the plane {(x1, x2); x1 > 0, x1x2 ≥ 1} convex? Justify.

A:

Q: 7.(a) Let X = {z € C: 0 < Arg(z) < π/3} and let ƒ: X → C be the function defined on X by f(z) = 2³.…

A:

Q: Kennedy's monthly bank statement showed the following deposits and withdrawals: -$82.17, $113.87, -…

A: Given, Kennedy's balance in the account was $ 52.91 at the beginning of the month.

Q: Let the vector field (x,y)→f(x,y) be l-one-sided Lipschitz in space, let h=0.1, and consider the…

A: We have been given: h=0.1l=-5 Function z=y+hf(x+h,z) We have to find the smallest L number such that…

Q: - Use contours corresponding to c = 0 and c = 1 to estimate at the point (0, 0) for the function…

A: The given function is: fx,y=6x2-6y2 We have to find ∂f∂x at the point (0, 0) corresponding to the…

Q: I am having difficulty understanding the handwriting. Is it possible to have this typed?

A: a) there are 10 pasteries and they are told to choose 4 samples to find different selections a…

Q: Determine the value of x within the interval (0, 1) that minimizes the function f = (x – 1)(x – 2.5)…

A: Consider the given function, fx=x-1x-2.5 Fibonacci method can be employed to obtain the minimum…

Q: answer to the nearest person.) persons How fast (in persons/yr) is the population growing at t = 40?…

A: Population growth model using integration

Q: Find a vector x whose image under T, defined by T(x) = Ax, is b, and determine whether x is unique.…

A:

Q: 1. Find the coordinates of the focus, the equation of the directrix, and the length of LR for each…

A:

Q: MATRIX A: 4 -3 5 -11 9 6009 MATRIX B: -9 15 8 0 -5 -13 6 20 7 8 1 7 00 -11 9 10 -5 3 1 -4 5 6 23…

A:

Q: c) What is the actual revenue of the 250 000th CD player sold? (between 250000 and 250001) d) What…

A:

Q: Find the dual of the following LP: z = 4x1 + x2 Maximize subject to 3x1 + x₂ ≥6 2x1 + x₂ ≥ 4 x₁ + x₂…

A:

Q: Use spherical coordinates. Evaluate III. (x² + y2) dv, where E lies between the spheres x² + y² + z²…

A: Evaluate the triple integrals conversion yo spherical co-ordinates

Q: Given that y₁ (t) = cost is a solution to y'' -y' + y = sint and y₂ (t)=3 is a solution to y'' - y'…

A: Given : (a) y''-y'+y=12 sint           : b y''-y'+y=3 sint -6 e2t To Find : yt

Q: Identify the following Cayley digraph of a familiar group.

A: We have to identify the given Cayley digraph of familiar group.

Q: Solve the initial value problem. 1 dy y cos 0 3₁ = 0 de 2 2 y + 1 = 1 The solution is (Type an…

A:

Q: A computational system has passwords of either 4 or 5 characters (letter or digit). Note that…

A:

Q: Solve the given initial value problem. y'' +4y' +29y=0; y(0) = 2, y'(0) = -1 y(t) =

A:

Q: Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile…

A: We are given the following information. The manufacturing company produces connecting rods for 4-…

Q: In a GP the 8th term is 384 and the 5th term is 48. Find the sum of the first 10 terms.

A: Introduction: A unique kind of progression called a geometric progression is one in which the…

Q: Solve the initial value problem. √y dx + (2 + x)dy = 0, y(-1)=64 The solution is (Type an implicit…

A:

Q: An exercise machine with an original price of $860 is on sale at 12% off. a. What is the discount…

A: Original price of the exercise machine = $860          Off on the machine  is = 12%…

Q: If tan 55° = 10/7, which is true? tan 35⁰ = 7/10 O cos 35º = 7/10 O tan 55⁰ = 7/10 Otan 35º = 10/7

A: