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volume = SA (3x)³ = (3x)² x 6 27x³ = 9x² x 6 27x³ = 54x² 27x = 54 27x - 54 = 0 27(x - 2) = 0 x - 2 = 0 x = 2 The question asks for the len...

∫(x³+x²+6)dx= ∫x³dx +∫x²dx+∫6dx =x⁴/4 +x³/3 +6x+C.

To complete the square, we need to rearrange the quadratic equation in the form of ax² + bx + c into the form r(x + p)² + q, where our task is to find the values of the unkowns of r,...

We can divide by (cosx)^2 across the identity (sinx)^2 + (cosx)^2 = 1 (which can be derived from properties of the unit circle and a bit of Pythagoras’ theorem) to achieve

[(sinx)^2 / (cosx)^2] + [...

The mean is also known as the average. To work out the mean you need to add all the house prices together and then divide by the number of houses. So in this example the total price of the houses is 14500...