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2x(x+5)

S= 0.5n(n+1) ( formula for the sum of the first n natural numbers) 0.5K(K+1)= 300 ( sub in K and make the formula equal to the total sum given) 0.5K(K+1)-300= 0 ( take away 300 from both sides) ...

First step is to take away 12 from both sides of the equation:5a + 12 = 37 (-12) 5a = 25 Second step is to then divide both sides by 5:5a = 25(÷5) Which gives you the final answer:a = 5

dy/dx = 2x - 2 -12x^-1/2dy/dx = 02x - 2 - 12x^-1/2 = 0x = 4 (stationary point)d²y/dx²= 2 + 6x^-3/2when x=4, d²y/dx²= 11/411/4 >...

Student will need to understand that the turning point will be a minimum as the curve is positiveStudent should complete the square:1) factorise out the 2: 2(x² + 7/2 x) - 82) complete the squa...