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Solve the Simultaneous equations 4x - y = 8 and x + y = 12

One basic method used here, when you have an equation and you add, subtract, multiply or divide one side of the equation from the equal sign, you must add, subtract, multiply or divide by the same value on t...
CE
Answered by Cameron E. • Maths tutor
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Explain the process of mitosis.

Mitosis is a process that is normally explained in four stages - prophase, metaphase, anaphase and telophase. In prophase , the chromosomes condense and clump together in the middle of the cell. They duplica...
ML
Answered by Megan L. • Biology tutor
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For a homogeneous second order differential equation, why does a complex conjugate pair solution (m+in and m-in) to the auxiliary equation result in the complementary function y(x)=e^(mx)(Acos(nx)+Bisin(nx)), where i represents √(-1).

For a second order differential equation, our auxiliary equation, am 2 +bm+c=0, has two roots. Let's denote these roots as A and B. Note that A and B can be the same if there is a repeated root, but we're no...
JB
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How do I translate an ablative absolute construction? e.g. his rebus factis

Ablative absolutes are notoriously tricky to translate, mainly because there isn't really an equivalent construction in English. These phrases are made up of a noun and a participle, both in the ablative cas...
ES
Answered by Ellen S. • Latin tutor
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A function is defined by f(x)=x/(2x-2)^(1/2): (a)Determine the maximum domain of f. (b)Differentiate f. (c)Find the inflection points of the function's graph.

This is a common A-level question tackling functions and differentiation. (a) First, it should be noted that the function f is defined within the field of real numbers and thus the value of 2x-2 in the squar...
Answered by • Maths tutor
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