Mock Paper FP1
Conditions for L'Hospital's rule
f(x)/g(x) is indeterminate and of the shape zero/0 or∞/∞
L'Hospital's Rule
lim x → a of f(x)/g(x) = lim x → a of f'(x)/g'(x)
when do you prevent differentiating with L'Hospital's rule
when it's miles not zero/zero or ∞/∞
Simpsons rule
∫f(x) dx ≈ ¹/₃h[endpoints + 4(odd points) + 2(even points)]
wherein h is (top limit - lower limit)/(wide variety of strips)
a way to decide which point is peculiar and that is even for the simpson's rule
label the first factor y₀ then the subsequent y₁ and so on
the bizarre factors are the y(odds)
the evens are the y(evens)
vector location of a triangle
½location of a parallelogram
extent
vector extent
alternative shape of the vector equation of a line
(r-a)xb = zero
a line with direction ratios x:y:z has direction cosines l, m and n such that
Conditions for L'Hospital's rule
f(x)/g(x) is indeterminate and of the shape zero/0 or∞/∞
L'Hospital's Rule
lim x → a of f(x)/g(x) = lim x → a of f'(x)/g'(x)
when do you prevent differentiating with L'Hospital's rule
when it's miles not zero/zero or ∞/∞
Simpsons rule
∫f(x) dx ≈ ¹/₃h[endpoints + 4(odd points) + 2(even points)]
wherein h is (top limit - lower limit)/(wide variety of strips)
a way to decide which point is peculiar and that is even for the simpson's rule
label the first factor y₀ then the subsequent y₁ and so on
the bizarre factors are the y(odds)
the evens are the y(evens)
vector location of a triangle
½location of a parallelogram
extent
vector extent
alternative shape of the vector equation of a line
(r-a)xb = zero
a line with direction ratios x:y:z has direction cosines l, m and n such that