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Since L is parallel to y=4x+5 we know that the two lines have the same gradient. The gradient of a line in the form y=ax+b has is a, which means the gradient of y=4x+5 is 4, so L is y=4x+b and we just nee...

A function of the form shown in the question is called a composite function, it is a 'function of a function'. It can be differentiated by expanding the brackets and differentiating each term individually...

Let M be a 3x3 matrix s.t. M= |a b c| |g h i| |d e f|

Then Det(M)= a(Det(e,f,h,i))-b(Det(d,f,g,i))+c(Det(d,e,g,h).

Given that the determinant of a 2x2 matrix such as (e,f,h,i) is = ei-fh. Th...

Functionalism in the philosophy of mind is a metaphysical view about mental states (e.g., beliefs, desires, perceptions, etc.). Qua metaphysical view, functionalism concerns what kinds of things mental st...

First, find the formula for the time taken, t, for the projectile to travel the distance. Using the fact that the projectile reaches a velocity of zero at a time of 0.5t when at its maximum height and acc...