Find the maximum values of f(x,y) = 81x² + y² subject to the constraint 4x? +y² = 1 (Use the Lagrange Multiplier)

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Q: A Suppose A E Mn(R)and B. Find the eigenvalues of B = LA in term. 2A of the eigenvalues of A.

A: Introduction: A block matrix, also known as a partitioned matrix, is a matrix that is interpreted as…

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A: Girls          Boys   Social Studies            15…

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Q: Find the Jacobian of the transformation. x = 2u + 8v, y = 6u + 5v a(x, y) a(u, v)

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Q: Which of the following functions ar

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Q: (1) Suppose that f and g are multiplicative functions. Prove that the function F defined by I…

A: Consider functions f and g to be multiplicative functions. To prove that function F defined by…

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Q: Find the volume to the nearest whole number.

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Q: Dual problem below: Min Z = 120y, + 6y2 + 105y3 Subject to : 3y1 + 5y2 + 8y3 2 3 10y, + 2y2 + 10y3 2…

A: The dual problem is Min Z=120y1+6y2+105y3 subject to 3y1+5y2+8y3≥310y1+2y2+10y3≥45y1+8y2+3y3≥1y1,…

Q: 10. Let m and n are two positive integers with m > n. Let a be a positive integer. Prove that a2" +1…

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Q: Given that (1 COS 4.r) x2 a, if x = 0 if x 0. J 16+ Vx -4 If f(x) is continuous at x = 0, find the…

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Q: Find the Laplace transform of f(t)=sin(4t + ?/3)

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Q: determined the area enclared by * 4ay = x, and y =X +8a 어 %3D 大 x2 4. 9

A: To determine the area enclosed by: 1. 4ay=x2 and y=x+3a 2. 94y2=9-x2 and x29=1-y29

Q: f(x) = x² + 2* – 100 Solve this question by the Fixed-point method on the topic of solution of…

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Q: 1. (Power series expansions) (a) Determine the radius of convergence of the series E 4n2" when:…

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Q: The following results are from data where the dependent variable is EXPENSE FEES, the independent…

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Q: Suppose that f: G → G such that f(x) = axa. Then f is a group homomorphism if and only if a = e a^4…

A: Let ,  f : G → G  such that ,  fx = axa We know that , f : G → G  is a group homomorphism if and…

Q: Evaluate fR z = Jx2 + y2 x2 + y2 + z2dxdydz, where r is the region bounded by the plane z = 3 and…

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Q: Use the given transformation to evaluate the given integral, where R is the triangular region with…

A: Let us consider the integration I=∫R∫f(x,y)dxdy Change the variable to x=f(u,v)y=g(u,v) The integral…

Q: Find the gradient vector field Vf of f and sketch it. f(x, y) = x2 - 4y Vf(x, y) = y 6h y 6 94444 -6…

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Q: Evaluate the integral below by changing to spherical coordinates. 81 81 x2 - y2 (x²z + y?z + z³ ) dz…

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Q: Work Problem Given the matrix x00 A =0 -4 O O 0 -5 a) Find the value of x, for which determinant of…

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Q: Recall that the set F(-0,0) of all real-valued fu

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Q: 22 The cost of producing x units of a product is described by C(x) = 100 + 40x. What is the total…

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Q: If y=sech (kx") and (

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Q: Question 11 Find the solution. d'x d?x dx + -2-=0 dt dr3 dr2 Ay = c,t+c,e+c,e -21 y = c,t+c,e"+ c,e…

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Q: Expand f(2) 7 in powers of (2 - 10) . Also clearly mention the domain in which this expansion is…

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Q: ) Consider the following differential equation, with time domainte (0, 1): Sy - (' sin y(s) ds +t²,…

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Q: Evaluate f. f(x,y) ds where C is the piecewise curve composed of the line

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Q: :Find the inverse transforms of the function 3 G(s)= 3s? +12 s² – 49 S |

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Q: Which of the following mfnite senes are convergent? Select all that apply. 100 %3D = 100+50+25+...…

A: We need to check whether the given series are convergent or divergent. First we will check for ,…

Q: Xi -3 -1 0. -2 1 f(xi) 7.1 -4.3 -3 -2.6 -0.6 Given that the above data was extracted from the…

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Q: Q2. Consider the vectors: Vi = (2,0,0, - 2), V2 = (-14,-7,-12,54), V3 = (0, 1, 1 -6) V4 =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Write out the first four terms of the Maclaurin series of f if f(0) = 5, f'(0) = 2, f"(0) = 6, f"(0)…

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Q: Solve the following system of equations using ode45. dy = -4y, – 2y2 + cos(t) + 4 sin(t), y,(0) = 0…

A: We will solve this problem using MATLAB with ode45. The code and corresponding solution curves are…

Q: me of the parallelepiped PQRS if the vectors V(PQ). V(PR), and V(PS) are, respectively, i +

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Q: ove that each of the following series converges absolutely: 2n n=1 (-1)*-1 Σ n.3"(1 – 5)" n=1 int:…

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Q: 1- cos t Find the Laplace transform of

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Q: Q2 Let f(x) = 2x3 – 0.0064x² – 1.5x + Ia (a) Indicate that f(x) = 0 has a root in the interval [-3,…

A: let fx=2x3-0.0064x2-1.5x+Id where Id=0.55 (a) indicate that fx=0 has a root in the interval -3,0…

Q: y² = 9 - x² and ミ1、22 9. 9.

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Q: 3 (a) Using Kruskal's method, find a minimum spanning tree of graph A (b) Using Prim's method, find…

A: Use Kruskal's and Prim's algorithms.

Q: cosz 3 3 Let f(z) and C is |z| = positively directed and C is ]z| = positively %3D (z²-1)2 2' 2'…

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