AQA A LEVEL MATHEMATICS FINAL PAPER
COMPLETE QUESTIONS AND
◉ lnx dy/dx =. Answer: 1/x
◉ f(x)+g(x) dy/dx =. Answer: f'(x)+g'(x)
◉ f(x)g(x) dy/dx =. Answer: f'(x)g(x) + f(x)g'(x)
◉ f(g(x)) dy/dx =. Answer: f'(g(x))g'(x)
◉ ∫x^n =. Answer: (x^(n+1))/(n+1) +c
◉ ∫Coskx =. Answer: 1/k Sinkx +c
◉ ∫Sinkx =. Answer: -1/k Coskx +c
◉ ∫e^(kx) =. Answer: 1/k e^(kx) +c
◉ ∫1/x =. Answer: ln |x| +c
, ◉ ∫f'(x)+g'(x) =. Answer: f(x)+g(x) +c
◉ ∫f'(g(x))g'(x) =. Answer: f(g(x)) +c
◉ Weight =. Answer: Mass x g
◉ Force =. Answer: Mass x Acceleration
◉ Midpoint of a line. Answer: (X1+X2)/2 , (y1+y2)/2
◉ Length of a straight line. Answer: √(x2-x1)^2+(y2-y1)^2
◉ Gradient of a line. Answer: Change in y/Change in x
◉ Equation of a circle. Answer: (x-a)^2 + (y-b)^2 = r^2 , Centre (a,b)
& Radius is r
◉ Area of a triangle. Answer: 1/2 base x height
◉ Cos(90-θ)=. Answer: Sinθ
COMPLETE QUESTIONS AND
◉ lnx dy/dx =. Answer: 1/x
◉ f(x)+g(x) dy/dx =. Answer: f'(x)+g'(x)
◉ f(x)g(x) dy/dx =. Answer: f'(x)g(x) + f(x)g'(x)
◉ f(g(x)) dy/dx =. Answer: f'(g(x))g'(x)
◉ ∫x^n =. Answer: (x^(n+1))/(n+1) +c
◉ ∫Coskx =. Answer: 1/k Sinkx +c
◉ ∫Sinkx =. Answer: -1/k Coskx +c
◉ ∫e^(kx) =. Answer: 1/k e^(kx) +c
◉ ∫1/x =. Answer: ln |x| +c
, ◉ ∫f'(x)+g'(x) =. Answer: f(x)+g(x) +c
◉ ∫f'(g(x))g'(x) =. Answer: f(g(x)) +c
◉ Weight =. Answer: Mass x g
◉ Force =. Answer: Mass x Acceleration
◉ Midpoint of a line. Answer: (X1+X2)/2 , (y1+y2)/2
◉ Length of a straight line. Answer: √(x2-x1)^2+(y2-y1)^2
◉ Gradient of a line. Answer: Change in y/Change in x
◉ Equation of a circle. Answer: (x-a)^2 + (y-b)^2 = r^2 , Centre (a,b)
& Radius is r
◉ Area of a triangle. Answer: 1/2 base x height
◉ Cos(90-θ)=. Answer: Sinθ
