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First set the distance between home and work as the value x miles.The time takento get from home to work is the value y hours.The time takento get from work to home is the value z hours.Then (as timeis eq...

If y is proportional to x then you can write y=kx^2 where k is a constant you are trying to find. Then substitute in the values you have been given for x and y. This gives you 45=k(3)^2. Then work to solv...

Consider the 2x2 matrix M, consisting of elements a, b, c and d. To find its inverse one must first find the det...

y = 2x + 5 + 27x^-2To find a stationary point, find the gradient function by differentiating with respect to x:y' = 2 -54x^-3To find a stationary point, let the gradient function equal...

The coordinates of the midpoint of a line are halfway between the coordinates of the points on either end of the line.To find the x-coordinate of the midpoint of AB, add the x-coordinate of A and the x-co...