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so this question is asking you to differentiate x³ + sin2xwe know that xⁿ differentiates do nx^n-1, so using that x³ will differentiate to 3x²we know ...

G = 9.81u = 0s = 100v² = u² + 2asv² = 2 * 100 * 9.81v = root( 2 * 100 * 9.81) = 44.29ms^-1
This question can be made into a 3 part question suitable for adv...

Integrate(x²)When we integrate we use the formula xⁿ⁺¹/n+1So therefore as in this case n=2So taking this all into account, the integral of x² = x³/3

Area of rectangle is 20 cm². The new area of the enlarged rectangle is the original area, 20 cm², times the area scale factor. We are only given the length scale factor, therefore, w...

For this problem we want to look to split it into logical steps We first identify that it is an integration problem without limits therefore there will be a constant of integration +C present The denomina...