rest of em

Question 1

suvat Qs

Answer 1

v=u+at
s=ut+1/2at^2
s=vt-1/2at^2
v^2=u^2+2as
s=1/2(u+v)t

Question 2

stats (x̄) (z)

Answer 2

x̄= ∑x/ n –>∑fx/ f
z =x̄-μ/ σ/ √ n

Question 3

arc length circle

Answer 3

s= theta r

Question 4

area of sector of a circle

Answer 4

1/2 r^2 theta

Question 5

product rule if y=f(x)g(x)

Answer 5

dy/dx = f(x) g’(x) + g(x)f’(x)

Question 6

chain rule

Answer 6

dy/dx = dy/du x du/dx

Question 6

proof by contradiction rules

Answer 6

• if a = odd nonzero int a^2 = odd nonzero int
• if a = even nonzero int a^2 = even nonzero int
• if x = even nonzero int x=2k k= nonzero int
• if x = odd nonzero int x=2k+1 k=nonzero int

Question 7

arithmetic series un Sn

Answer 7

un = a + (n-1)d
Sn =1/2 x n x (2a + (n-1)d)

Question 8

geometric series un Sn S∞

Answer 8

un = ar^n-1
Sn = a(1-r^n)/1-r
S∞ = a/1-r