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perpendicular so the gradient is -1/4
y= -1/4x +CSub in the coordinate (0,6)
6 = -1/4 (0) +C
C=6y=-1/4x +6

Allocative efficiency refers to when the bundle of goods being produced is an efficient bundle. Hence, if allocative efficiency is not being achieved then resources can be reallocated to produce a differe...

Two numbers add/ subtract to make -8Two numbers multiply to make -65. These are 1 and 65 as well as 5 and 13Seeing as 1 and 65 cant add or subtract to make -8 the numbers we'll use are 5 and 13. These als...

Differentiate C:dy/dx=4x+5When x=1dy/dx=4(1)+5dy/dx=9This is gradient of tangent.Gradient of normal=-1/9When x=1, y=4y-4=-1/9(x-1)y=(-1/9)x+(37/9)(-1/9)x+(37/9)=2x^2+5x-30=2x^2+(46/9)x-(64/9)x=1 or x=-32/...

There is a small journey to make before you can get up to harmonising Bach Chorales. I would first recommend purchasing a (cheap) copy of Riemenschneider complete Bach chorales, and taking the time (2 min...