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Remember that the equation of a line is y=mx+c and m is the gradient of the line. The gradient of a perpendicular line will be the negative reciprocal of m ( that just means it will be -1/m). You can then...

That's right, German has three words for English 'it'! But don't worry, there's a rule which lets you pick the right one! German nouns have grammatical gender and can be masculine (der), feminine (die), o...

Have you ever tried to run the wrong way down an escalator? then you have experienced a dynamic equilibrium.You are moving up, it is moving down and yet, your actual position isn't changing. In a reaction...

Firstly we need to remove one of the variables. We can use the fact that y has different signs to do this.
3x + 5y = -4 multiplied by 4 gives: 12x + 20y = -16
10x - 4y = -34 multiplied by 5 give...

Let u = cos xdu/dx = -sin xy = u⁴dy/du = 4u³dy/dx = dy/du * du/dx = (4u³ ) * (-sin x) = 4 cos ³ x * -sin x = -4 cos ^{3 <...}