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Where does the circle (x-6)²+(y-7)²=4 intersect with y=x+3We need to sub y=x+3 into the circle equation giving us an equation in just x:(x-6)²+(x-4)²=4Next we e...

Part 1: This question requires us to first do some rearranging. The right hand side of the equation is in terms of h, and we are looking to find t in terms of h, so it won't be appropriate to simply integ...

Firstly, we must use the special property of trig functions which means that (sinx)ⁿ is the same as sinⁿx. Likewise, (cosx)ⁿ=cosⁿx, (tanx)ⁿ=tan^n...

Firstly let's expand out the staring equation getting rid of any brackets. This gives: 2-2cos(x)) = 3sin^2(x). Now we can spot that the sin^2(x) term is in the first equation but no the final one. So let'...

Solution: Parametric Differentiation with utilisation of Chain Rule.
By the chain rule: dy/dx = dy/dt * dt/dx
Note: dt/dx = 1 / (dx/dt)
So dy/dt = 0, dx/dt = 3at^2
So dy/dx = 0 * 1/(3a...