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For this question we first need to understand which angle it is we're calculating. When two lines intersect two pairs of equal and opposite angles are formed (4 angles total). We are looking to find the s...

Where does the discriminant come from? It is from the quadratic formula. It is the part under the square root sign, in other words it can't be negative or there are no real solutions to your quadratic equ...

(a) (i) differentiate C using standard technique: dy/dx = 12x^3 - 24x^2 (ii) to find the second differential differentiate the first derivative (dy/dx): d^2y/dx^2 = 36x^2 - 48x(b) In order to determine if...

a) The derivative dy/dx of the equation is: dy/dx = -10x⁴. If you don't remember this, revise Power Rule for derivatives.b) The equation of a line is given by y = mx + q. To find the tangent li...

use rules: ln e^x = x*ln(e) and ln(e) = 1. find natural log of each side: (3x-9)ln(e)=ln(8). rearrange: x= (ln(8)+9)/3