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Mathematics

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What are arrangements with repetition? Give an example of a situation in which the n Superscript r formula gives the number of possible arrangements.

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Find the dimension of a closed rectangular box that has a square base and capacity of 27in^3. And is constructed with the least amount of material.

Find the dimension of a closed rectangular box that has a square base and capacity of 27in^3. And is constructed with the least amount of material.

First derivative for the function : y=sec(2x-√3) a. 2 tan(2x-√3) b. 2 cos(2x-√3) c. 2 sec(2x-√3) tan(2x-√3) d. 2 sec²(2x-√3)

Evaluate the double integral to the given region R Sfxy e xy² d dA, R=((x,y)| 11 ≤x≤18, 0sys 1) R √√xy e xy² dA=

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Volume required to prepare IN solution of the of the sulphuric acid

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solve for the following 1. Find the total area between the curve y = x³ and the x-axis between x = -2 and x = 2. 2. Find the area of the region between the par

Find the linearization L (x, y) of the function f (x, y) = √137-4x² - 16y² at (4,2). L(x, y) = -48x-32y+209

Verify Stokes' Theorem for the vector field F(x, y, z) = 2= i + 3x j + 5y k, taking to be the portion of the paraboloid = = 4x² - y2² for which = 20 with upwar

Solve the differential equation. dy 2√xy = 1, dx X, y > 0 The solution is :

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a) Use the method of undetermined coefficients to find a particular solution of the non-homogeneous differential equation y" + 3y' + 4y = 2x cosx.