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Factorise and solve x² - 8x + 15 = 0.

When factorising there are 3 things to look for;

1. A common factor in each component of the equation. In this case there are no commo...

E_k = (1/2)mv²

E_p = mg(dh)

Set these equal to each other, because of conservation of energy:

(1/2)mv² = mg(dh)

Cancel the mass:

To answer this question we need to think about the bonding that occurs within metals. Metallic elements form strong lattices due to the metallic bonding. This consists of a lattice of positive metal atoms...

My patio has an area of 68 m , so 48m².
Each tile has an area of 0.50.5 m, so 0.25m².
To find the number of tiles we need, we divide the area of the patio by the...

int(5x³ + (2x)^-1 + e^2x )dx

=int(5x³)dx + int((2x)^-1)dx + int(e^2x )dx

int(5x³)dx = (5/4)x⁴+ c          ...