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Bagrut: formulas and concepts in maths, physics and chemistry

Flashcards for Bagrut preparation: calculus and algebra formulas, laws of physics and key ideas in chemistry.

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Derivative of x^n
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Bagrut (Secondary School Matriculation) mock tests →
1
Derivative of x^n
n x^(n-1)
2
Derivative of ln(u)
u' / u
3
Derivative of e^u
u' e^u
4
Equation of the tangent at x = a
y = f'(a)(x - a) + f(a)
5
Integral of x^n (n not -1)
x^(n+1) / (n + 1) + C
6
Quadratic formula
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
7
Sum of the roots of ax^2 + bx + c = 0
-b / a
8
Product of the roots of ax^2 + bx + c = 0
c / a
9
Modulus of z = a + bi
sqrt(a^2 + b^2)
10
Product of a complex number and its conjugate
a^2 + b^2
11
nth term of an arithmetic sequence
a_1 + (n - 1)d
12
Sum of n terms of a geometric sequence (q not 1)
a_1 (q^n - 1) / (q - 1)
13
Binomial probability P(X = k)
C(n,k) p^k (1 - p)^(n - k)
14
Bayes' theorem
P(A|B) = P(A) P(B|A) / P(B)
15
Dot product in 3D
x1 x2 + y1 y2 + z1 z2
16
Newton's second law
Net force = mass x acceleration
17
Kinematic equation without time
v^2 = v0^2 + 2 a s
18
Work done by a constant force
W = F d cos(theta)
19
Kinetic energy
(1/2) m v^2
20
Gravitational potential energy near Earth
m g h
21
Momentum
p = m v
22
Ohm's law
V = I R
23
Power in a resistor
P = I^2 R = V^2 / R
24
Snell's law
n1 sin(theta1) = n2 sin(theta2)
25
Wave speed
v = f x wavelength
26
Coulomb's force
F = k q1 q2 / r^2
27
Time constant of an RC circuit
tau = R C
28
Radioactive decay law
N = N0 e^(-lambda t)
29
Half-life and decay constant
lambda = ln 2 / t(1/2)
30
Photoelectric equation
E_k(max) = h f - work function
31
Moles from mass
n = m / M
32
Molarity
M = moles / liters of solution
33
Dilution
C1 V1 = C2 V2
34
pH definition
pH = -log[H+]
35
pH + pOH at 25 C
14
36
Ideal gas law
PV = nRT
37
Gibbs free energy and equilibrium
Delta G = -RT ln K
38
Oxidation number of oxygen in most compounds
-2
39
Le Chatelier's principle
A system at equilibrium shifts to oppose an imposed change
40
Functional group of alcohols
Hydroxyl, -OH
41
Functional group of carboxylic acids
Carboxyl, -COOH

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