linearly independent, Mathematics

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Initial conditions to find system of equations, Solve the subsequent IVP. ...

Solve the subsequent IVP. y′′ + 11y′ + 24 y = 0 y (0) =0  y′ (0)=-7  Solution The characteristic equation is as r 2 +11r + 24 = 0 ( r + 8) ( r + 3) = 0

Title expressions equivalent, 2x40 420x4 7x240 84x20 Explain h...

2x40 420x4 7x240 84x20 Explain how three expressions are equivalent.

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Cylinder - three dimensional spaces, Cylinder The below equation is th...

Cylinder The below equation is the common equation of a cylinder. x 2 /a 2 + y 2 /b 2 = 1 This is known as a cylinder whose cross section is an ellipse.  If a = b we

Determine the relation is partially ordered, Determine if the relation repr...

Determine if the relation represented by the following Boolean matrix is partially ordered. Ans: Let the following relation R is defined on set A = {x, y, z}. To test if t

find the vector projection - vectors, Given the vectors u = 3 i - 2 j ...

Given the vectors u = 3 i - 2 j + k ,   v = i + 2 j - 4 k ,    w = -2 i + 4 j - 5 k use vector methods to answer the following: (a) Prove u , v and w can form

What was the original price of the coat before tax, Nick paid $68.25 for a ...

Nick paid $68.25 for a coat, including sales tax of 5%. What was the original price of the coat before tax? Since 5% sales tax was added to the cost of the coat, $68.25 is 105%

Complex numbers, A number of the form x + iy, where x and y are real and na...

A number of the form x + iy, where x and y are real and natural numbers and is called as a complex number. It is normally given by z. i.e. z = x + iy, x is called as the real part

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Determine the inverse of the following matrix, if it exists. We first form the new matrix through tacking onto the 3 x 3 identity matrix to this matrix.  It is, We

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