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The first step in tackling this problem is to find the intersection points of the graph with the x and y axes. The y-intercept can be found by substituting x=0 into the function, so y=(0-1)/(0+1)=-1 and t...

dy/dx = (4 * 3)x^(3-1) + 2x^(2-1)*cos(x²)

         = 12x² + 2xcos(x²) 

If the lines are parallel then when the line AB is given in the form y=mx+c then the gradient m of AB is equal to that of the other line. Rearranging the equation for line AB gives y=-(5/3)x-1 so m=-(5/3)...

This question requires understanding about how blood flows in the veins. The body contains three types of blood vessel: artery, vein and capillaries, each with different characteristics. Veins carry deoxy...

Firstly, information enters the memory, via the senses, from the environment, into the sensory memory. If this information is paid attention too, it is transfered to the ...