Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse 76 +=1 with sides parallel to the coordinate axes. Let length be the dimension parallel to the x-axis and let width be the dimension parallel to the y-axis. Length = Width =O

Q: 1 -3 4 1 Let A = 1 2 -3 2 4. B = -4 0 -2 [-1 2 5. Find Rank of AB

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Q: -48 6

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Q: A curve is given by the equation y = ln (2³+¹). x5

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Q: 75 - 3.5y - 4y = 4y + 6

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Q: 3 3 x-5 1 322

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Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: రం్ియ 20 5-6 a06 5a 3. 3.

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Q: 4. 3*+4 72x-1

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Q: 6 2/5 + 1 3/10

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Q: 3s – 7 s- 2s + 3

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Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

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Q: 1) S7 (1+x*)²

A: Given: I=∫x3dx1+x42 For evaluating given integral, we substitute 1+x4=t…

Q: - 3 4 3 - 13 - 10 - 10 -3 Find the LU factorization of 9 L = U = II

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Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

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Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: ne binomial:

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Q: Expand (a −b)4

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Q: 1 3 -2 What is the rank of 2? -81 -1 -2 -6 4 a. 4 с. 2 b. 3 d. 1

A: Given: The matrix, 13-2401-12-2-64-8 To find: The rank of the matrix.

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

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Q: 1 + 2n < n° for all integers n² 2

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Q: 4.) Which expressions have a negative product? Select all that apply. A. (-1)(2)(-3) B. -(-3)(-2) C.…

A: Solve the following

Q: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

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Q: expansion of (1-2m)“

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Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: find: (m+I) m!

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Q: 5 (4k + 3) k 1

A: Given,

Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: A. 3- 2x 2 x B. (2 - x) 2 3x C. 3(2 - X) 2 3x D. 3-2x2 3x 32. Six is at least the product of three…

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Q: Find A.

A: Given

Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint

Q: 3. (x³ + 4x² –x – 1) + (x + 3)

A: Here we have to divide two polynomials as shown.

Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: 3 3/4 + 2 7/28

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.