Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse + 9 + 49 = 1 (-x, y) (-x,-y) (x, y) x+ (x,-y) (Give your answer as a whole or exact number.) S =

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A:

Q: Reduce the equation to one of the standard forms, classify the surface, and sketch it. (a) z23x²+4y²…

A: We have to reduce the equation in standard form, classify the surface and sketch the surface.Note:…

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A:

Q: PLS HELP ASAP ON ALL GIVEN QUESTIONS PLS

A: Answer- I have given step by step hand written solution in the explanation box. Explanation:Step…

Q: Question 1: (a) Consider the n-point Newton-Cotes quadrature rule n [^ f(x)dx ~ Σ wif(xi). i=1 (1)…

A: The solutions have been attached below.Explanation:Approach to solving the question: Detailed…

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A:

Q: The question involves finding the inverse Fourier Transform of the following functions:

A: see the attachment given below for details.Explanation:

Q: -Analyze if the planes are parallel πT1; 4x+4y-5x-1=0 TT2: 8x+8y+10z+3=0

A:

Q: Use the method of undetermined coefficients to find one solution of y" + 4y′ − 4y = (4x² - 9x-4)…

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Q: (b) x - 5x+4x=0; x(0) = 0 (0) = 1 2. Solve the following homogenous differential equation ä - 4x+5x…

A:

Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

A: We have to find all real numbers  for which the matrix  is diagonalizable in

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Q: find generating set for the null space of matrix A=[1,1,1;0,-1,-3;1,1,1;0,-2,-6]

A: If you have any questions please ask me comments sectionPls like this answer Explanation:

Q: Q.2: Let C be the line joining A(-1,0), B(0,1), D(1,1), and E(2,0). Evaluate: Scy dz tor and radius…

A:

Q: - Let S be a subset of a vector space V over a field F, then a) if S is linearly independent then S…

A: Given that S is a subset of vector spcae V over field F. Note: Since you have posted more than one…

Q: Recall that I(n) = (1 - x²)"dr. == 2.1 Substitute x = sin(t) in I(n) and show that I(n) can be…

A: Recall that .2.1 Substitute  in  and show that  can be written as .2.2 Now that we have . What is ?…

Q: 8. (a) Give an example of a convergent sequence (s) of positive numbers such that lim (s/s) 1. (b)…

A: (Sn​)=(1+n1​) (tn​)=(n)Explanation:

Q: Ex. 3 Consider the following problem: Maximize 2x1 subject to + x2 x1 + 2x2 2x1 + 3x2 - X3 +6x3 +…

A: The objective of the question is to find a basic feasible solution for the given linear programming…

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A: We will transform the given function.

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A: The interest grow by  in  year.Interest is compounded  times  per year.We have to find the annual…

Q: Suppose PEL(V) and P2 = P. Prove that V = null(P) ☺ range(P)

A: V=null(P)⨁range(P)Explanation:

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A: We have explain the property of identity matrix.

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A: present value of the annuity due is approximately $3369.45.Explanation:To calculate the present…

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A: In the simplex method we mainly roam all the extreme points of the feasible region. The solution of…

Q: AF'G'H' is a translation of AFGH. Write the translation rule. 104 -8- G H -6- 4 2 -10 -8 -6 -4 -2 0…

A: The objective is to find the translation rule.

Q: 2. How does the function f(z) = e¹/z demonstrate that the "single point exception" is needed in the…

A: The function f(z)=e1/z has an essential singularity at z=0.In a punctured neighborhood of z=0, f(z)…

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Q: 2.11 Show that, if an ≥ 0 for all n ≥ 1 and if (an) → L, then L ≥ 0.

A: Using contradiction we prove that  If an​≥0 for all n≥1 and if (an) → L, then L≥0 Explanation:

Q: : find e² in the form u + iv for 0.6-1.8i

A: Given data is,

Q: Please answer question B

A: The ratios |f''(x) / f'(x)| provide insight into how rapidly the function's slope is changing…

Q: 3. Solve the following differential equation: +32 + 2x = t where x(0) = 1, (0) = 0. (For the…

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Q: f(x)= 2x+5 3x

A:

Q: Laplace equation Uxx + Uyy = 0 under the boundary conditions U(0,y) = U(x,0) = 0, Ux(1,y) = 0, and…

A: This represents a series of solutions corresponding to different values of n, and the coefficients…

Q: (a) Find a particular solution of y" + 13y' + 36y = 6x (b) Find a particular solution of y' + 13y' +…

A: The answers have been provided.Explanation:

Q: Determine the Fourier transform of a signal with g(t) = At/B between t = 0 and t = B and g(t) = 0…

A: Fourier transform of the given signals have been calculated with detail explanation. If any doubt…

Q: *16. Recall that N(s; e) = {x:|x − s| 0 there exists M€ N such that n≥M implies that s, € N(s; e).…

A: Question is solved below Explanation:

Q: Let a and ẞ belong to S. Prove that a 1B-1 aẞ is an even permutation.

A: Given,

Q: Need full answer

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Q: (b) The row vectors of an n x n upper triangular matrix form a basis in R" if all entries in the…

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Q: Consider the matrix 4 -1 1 -2 -3 A = 2 -2 2 2 4047 -1 3 -6 6 -4 -7 7 (a) Find a basis for the null…

A:

Q: 1. A pencil cup with a capacity of 16 in.³ is to be constructed in the shape of a rectangular box…

A: The volume of the cup is Material of the sides cost and the material of the base is .The  base is…

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Q: A3 Find the half-range Fourier cosine series expansion for the function f(x) = x(L − x), for 0 < x <…

A: Explained below.If any doubt please re assign the question, Thank you.Explanation:

Q: Find a particular solution to in x 0. Yp= 2.2 d²y dy +4x. dx2 dx +2y= x² cos(x).

A:

Q: Show the general solution of the system of equation as a Real Valued Function, x= (3)x x=(s. -3

A: FINAL ANSWER I have obtained the answers in the below steps.The general solution…

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A: (a) C(x) = 6,000 + 9x, where x is the number of vases produced.(b) R(x) = 18x, where x is the number…

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A: To solve the partial differential equation (PDE) 6xux−3uy=0 using the Charcateristic equation…

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Q: A developer owns a piece of beachfront land that she intends to developfor residential use. The…

A: The private returns to the developer are as follows:Return if developed: $50,000Return if…