Use lagrange multipliers to find the max and min values of f(x,y) = 5x-4y subject to the constraint x^2 + 2y^2 =132, if such values exist. max = ? min = ?

Q: An airline offers coach and first-class tickets. For the airline to be profitable, it must sell a…

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Q: ne Laplace transform of f (t) = 6e* +e* + 5² –9 16 4 F (s) = s- 5 9 + s-4 s4 s2 30 9. F (s) = – s- 5…

A: Given: f(t)=6e-5t+e3t+5t3-9

Q: Which of the following is the general solution to the differential equation (x + y – 1)dx + (3x + 4y…

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Q: Verify Stoke's theorem for the vector field F = (2x - y) I– yz"J - y z K over the upper half surface…

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Q: 7. A model of a rectangular stove top with four circular burners is shown. The side lengths of the…

A: Given : Diameter of the burner=6 inches Length of the rectangular stove=22 inches Width of the…

Q: (D+ 1)²(D– 6)°(D+ 5)(D² + 1) (D² + 4)[y] = 0

A: The solution for above homogeneous differential equation is given below

Q: 6(5 – 5) (s - 5)2 +. Laplace Transform of 6e cos (2t):

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Q: Find the domain of the function f(x, y) = In(3x? – 2y + 1). The set of all ordered pairs (x. y) for…

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Q: 24 et aretant

A: We need to solve  y''-2y'+y=et arctan(t). Let's find the solution of y" - 2y' + y = 0. The auxiliary…

Q: Let M be a 10 × 10 real matrix such that M2 = M and the determinant of the matrix cannot be 1. Does…

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Q: What could be the general solution to the differential equation (x + y – 1)dx + (2x + 2y + 1)dy = 0…

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Q: . Verify Stoke's theorem for the vector field F = (2x - y) I- yzJ-y:K ove the upper half surface of…

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Q: Let V = {(z, y)|r, y € R} with addition and scalar multiplication defined as u + v = (u + v, - 3, uz…

A: Use the given information.

Q: Question 4. Assume that * is an operation on S with identity element e, and that (y * z) = (x * z) *…

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Q: 3s - 2 Find the Inverse Laplace Transform of G (s) 252– 6s – 2 3r 31 V13 8 (1) 3e 2 sinh 2 cosh 2 A…

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Q: 2s +3 Find the Inverse Laplace Transform of F (s) s2+4s + 13 A f(1) = e-"(cos31 – sin31) 2 (B) f(t)…

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Q: If M and N be the subspaces of V that contains the set of symmetric and skew- symmetric matrices,…

A: Given M be the subspace of symmetric matrices and N be the subspace of skew- symmetric matrices

Q: lidear Prove Shat os ever de is a non toe thede Functional actinp non- zero normed space non tec…

A: This proof follows as a consequence of Hahn-Banach Theorem for Normed Spaces. Hahn-Banach Theorem…

Q: Find the sum of the x-intercept, y-intercept, and z-intercept of any tangent plane to the surface…

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Q: solve parameter method J-yこ cosh x y"-

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Q: Question 2 In this question we are considering the vector space P2, which is the collection of all…

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Q: horizontal or vertical

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Q: What is the general solution to the differential equation dx dy 3Y = x*yi? -

A: Given differential equation is dydx - 3yx = x4y13

Q: by f(x) = (x2 + 1)35 for all x e Ris A. One-One but not onto B. onto but not one-one C. neither…

A: Given f(x) = (x2 + 1)35

Q: Find the area to the left of z = -1.96 or to the right of z = 1.96?

A: Given z-scores are z = -1.96 z = 1.96

Q: Question 7 MO21. A particular brand of diet margarine was analyzed to determine the level of…

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Q: Use the integral test to determine if -2 converges or diverges. Justify your en n n=1

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Q: 4x1 + 2x2-2x3 = 0 X1 - 3x2 - x3 = 7 3x1 - x2 + 4x3 = 5

A: Here I use excel to solve this problem.

Q: (1.3) Using part (1.2), find the "negative" of C): Explain clearly.

A: Introduction: In a vector space, zero vector is very significant. Under the operation addition, zero…

Q: The addition of matrices shown below gives: Гз 7 27 10 0 and [5 3 4] Г2 47 Li 3] А. Зх3 matrix B. 3…

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Q: 3s Find the Inverse Laplace Transform of s2+4s+ 13 (А) -2° ( 3sin3t+2cos3t) B e" (3cos2t – 2sin2t)…

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Q: MATH Make a two-column proof to show that the triangles formed by the diagonal of the Futsal court…

A: Draw a rectangle ABCD and join the points A and C. Note: Opposite sides of a rectangle are equal.…

Q: 11 i6) y"" ty's tan X

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Q: Given the matrix below and its corresponding rref(A) and rref(AT) 1000 -2 -| -3 10000 0100 - 12 0 10…

A: Let us find the basis for the null space of A in the next steps.

Q: 6(5 – 5) (s – 5)² + 4 Laplace Transform of 6e"cos(2t):

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Q: Consider the IVP: x" + 3x' +2x = 4t² ; x(0) = 0, x'(0) = 0. Find the general solution. 4 7 (A) x(t)…

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Q: MO22. A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has…

A: We use the p-value formula.

Q: If F(p) and G (p) are the Mellin transforms of the functions f(x)

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Q: Prove Corollary 6.2. If L: V → W is a linear transformation of a vector space V into a vector space…

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Q: Theorem 3.1. Let V be an inner-product space and vectors x, y e V, then | (x, y) |< || x || | ||.…

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Q: ds What is the general solution to the differential equation 2 = 5t's³? %3D dt

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Q: Find the Laplace Transform of cos(2t) + 7sin(2t) 14 A 7+4 + s2+4' s2-4 s+ 14 B 52+4 14 s2+4 s2+4 s-…

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Q: If Ø: R → S is a ring isomorphism. The Ø preserves: O Nilpotent elements Idempotent elements Units…

A: Given that ϕ:R→S is a ring isomorphism. We have to whether the ϕ preserves idempotent, nilpotent and…

Q: the physical dimensions of an object?

A: To define: Physical dimensions of an object.

Q: Verify the given differential equation is exact; then solve it. y(2xy + 1)dx + x(1 + 2xy- x'y³)dy =…

A: Given differential equation is y2xy+1dx+x1+2xy−x3y3dy=0.......1. We have to check whether the given…

Q: lestion 25 Consider the following IVP: y" + 3y' + 2y = 12x?; y(0) = a, y'(0) = b

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Q: Using principle of mathematical induction, prove that 3. 1° + 2° + 3° +.... +n = n(n + 1) 2

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Q: Which of the following graphs is the level set of 4y F(x, y) = corresponding to z=-1? (A) (B) -3 -2…

A: Level set of the function

Q: 3. Consider the set e = x (x1, x2, x3,. . .) E C : i=1 consisting of all absolutely summable…

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Q: 1: Consider the following function. h(u, v) = u³ + 30uv – 15v2 (a) Find the critical points of h.…

A: If D(a,b)&lt;0 then (a,b) is a saddle point. If D(a,b)=0 then the case is inconclusive. If…