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Rearrange both equations to make y the subject:2x + 5y = 5 rearranges to y = -2x/5 + 1 and x - 2y = 4 rearranges to y = x/2 - 2Equate both the rearranged equations and solve for x:-2x/5 + 1 = x/2 - 2x = 1...
An integral is an anti-derivative, meaning it will take the derivative we are assessing and return it back to its original function. Moreover, an integral is used to find the area under a curve. Dif...
The product rule is a special rule that exists for differentiating products of two (or more) functions. It states: If y=uv, then dy/dx= u(dv/dx) + v(du...
cos(x) - sin(x)
First, we need to find a formula for the speed of the particle, v, at a given time, t. Relate the speed, v, to the force f, using Newton's 2nd Law: f(t) = mdv/dt (remembering that acceleration is t...
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