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First differentiate 2x² - 5x - 3 to get 4x -5. At x = 3, the gradient of the tangent must be 7, and we know it goes through (3, 0) Plug the values into y = mx + c to get the equation of the lin...

complementary base pairing - new strand can be synthesised based on the base sequence on the template strand, so that the resulting strand synthesised is identical to the coding strand.
hydrogen bon...

7/2x² + 4/3x = 21/6x² + 8x/6x² = ( 8x + 21 ) / ( 6x² )

f(x) = 7e^2x sin(3x) Chain rule: f(x) = uv → f'(x) = u'v + uv' u = 7e^2x u' = 14e^2x v = sin(3x) v' = 3cos(3x) f'(x) = 14e^2xsin(3x) + 7e^2x 3cos(3x) f'(x...

The system consists of 2 reservoirs at different elevations, where the water can flow between them but through a hydroelectric power station. The higher elevation reservoir releases its water at higher en...