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The subjunctive tense is a form of the present tense used to express uncertainty or doubt, for example "Es imposible que Maria esté aqui" - "It is impossible that Maria is here".

i) By integration by parts, we see that it equals (x)(e^x)-(e^x)+C, where C denotes the constant of integration. ii) (x)(y)(e^x)+C, where C denotes the constant of integration.

First, you start by replacing sin^2(x) with 1-cos^2(x) as you want the equation to be in terms of cos(x) and you know sin^2(x)+cos^2(x) = 1. Then you rearrange the equation to get 0 on one side so that yo...

It states that for a right-angle triangle, the square of the hypotenuse equals the sum of the squares of the other sides. So if a denotes the hypotenuse, a^2 = b^2 + c^2.

as the acceleration is constant, to travel 1km=1000m, we use 1000 m =(1/2) (5 m/s^2)t^2, so t=sqrt(21000/5)=20 seconds