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Within Shakespeare's supernaturally Gothic tragedy Macbeth, Lady Macbeth is frequently interpreted as a powerful woman. Not only is she able to control her husband, urging him to "screw his courage to t...

You must expand the brackets and then handle each section separately x multiplied by x = x^2 x multiplied by 4 = 4x answer is x^2 + 4x

To find dy/dx, we must use a combination of the Product Rule and the Chain Rule. If we let 3x^2=u and (x+2)^6=v, the Product Rule tells us that (uv)' = uv'+vu' u'=6x, but to find v' we need to use the Chain ...

There are several ways to solve a quadratic equation. 1.Quadratic formula ax 2 + bx + c = 0, where a can't equal 0 but b and c can.x = (-b± (b 2 - 4ac)) / 2a2. completing the square(x + b/2) 2 + c3. factoris...

A matrix is a linear transformation between vector spaces. Often we want to think about linear maps from an n -dimensional vector space to itself. When the vector space that we're mapping to and from is the ...