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Here we will want to use the SUVAT equations, which I'm sure you will have come across. Notice that in the question we only have an initial horizontal velocity and because we model all objects as points, ...

a. Finding du_n = u₁ + (n-1)du₄ = u₁ + (4-1)d12 = 3 + 3dd = 3
b. Sum of first 10 termss_n = n/2(2u₁ + (n-1)d)s₁₀ = 5(6 + 9d)...

Derivative of 2xsin(x): 2sin(x)+2xcos(x)Set derivative equal to zero: 2sin(x)+2xcos(x)=0Solve: only valid when x=0Therefore the only stationary point is (0,0) ie the origin.

With this question, it is useful to work with a specific example, so let’s take the recurring decimal 0.27. The first step in converting it to a fraction is to set it equal to x, this will help us with ou...

The stationary points on a curve are the exact point of a maximum, minimum or point of inflection. They can be defined as points where the gradient, dy/dx = 0. You can show this by drawing a tangent to th...