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Useful formula cheat sheet for your Mathematical Methods exam
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MATHMETH EXAM 2
area of a trapezium 1 2
Ah
curved surface area of a cylinder 2 π^ rh^ volume of a sphere^
π r^3
volume of a cylinder π r^2 h area of a triangle
volume of a cone
π r h^2
d dx
n
n (^) = x n c n
d dx
ax b dx ( ) , a n
d dx
d dx
x e x
d dx
d dx
d dx
ax a ax
tan ( ) a ax ( )
cos 2 sec (^2 )
product rule d dx uv u dv dx v du
u v
v du dx u dv dx v
2
chain rule dy dx
dy du
du dx
3 MATHMETH EXAM
Pr( A ) = 1 – Pr( A ′) Pr( A ∪ B ) = Pr( A ) + Pr( B ) – Pr( A ∩ B )
Pr( A | B ) = Pr Pr
mean μ = E( X ) variance var( X ) = σ 2 = E(( X – μ) 2 ) = E( X^2 ) – μ^2
Probability distribution Mean Variance
discrete Pr( X = x ) = p ( x ) μ = ∑ x p ( x ) σ 2 = ∑ ( x – μ)^2 p ( x )
continuous Pr( a X b ) f ( ) x dx a
b
−∞
∞
−∞
∞
n
standard deviation sd^ P^
p p n
approximate confidence interval
p z , p p n p z p p n