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5/2 x^2 + 2x^3/2 +c

We know that: (1) the radius of the circle to the point [4,3] is perpendicular to the tangent line, (2) if two lines are perpendicular, their gradients are negative reciprocals of each other, and (...

Differentiate f(x) = 14x²e^{x^2}To approach this problem we first need to realise that f(x) is made up of two simpler functions multiplied together. This tells us that we should use the...

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)...