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For f(x) not to have any real roots, its discriminant, b²-4ac < 0. Plugging in the coefficients from f(x), this means (-(2c+8))²-4x4x4 < 0.This means (-(2c+8))² <...

The limiting reagent is the chemical substance that isn't in excess in the reaction compared to the other components. The way to calculate which reagent limits the reaction and how it progresses is to cal...

We know that two vectors are perpendicular when their dot product is equal to 0. As you can see from the SQA Higher Maths formula sheet, the equation for the dot product is; A.B=a1b1+a2b2+a3b3.To...

When I look at a source, the technique I use to answer these types of questions is DAPAL, which stands for:Date - When was this written - was it written immediately after the event or yea...

The concept of time is influenced by the force of gravity. On a planet, gravity acts on every object within its gravitational field. The closer the object is to the surface of the planet, the greater infl...