39 cardsTawjihiya Bahrain (Secondary School Certificate)

Tawjihiya: advanced mathematics, physics and chemistry reference

Flashcards for the scientific stream: differentiation and integration rules, trigonometry and logarithm identities, mechanics, electricity and core chemistry laws.

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Quotient rule
GetMyMockTestQuestion side
1
Quotient rule
(u/v)' = (u'v - u v') / v^2
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Product rule
(uv)' = u'v + u v'
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Chain rule
(f(g(x)))' = f'(g(x)) g'(x)
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Derivative of sin x
cos x
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Derivative of cos x
-sin x
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Integral of 1/x
ln|x| + C
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Integration by parts
integral of u dv = uv - integral of v du
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Sum of the first n integers
n(n + 1) / 2
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Euler's formula
e^(i theta) = cos(theta) + i sin(theta)
10
Roots of a quadratic by discriminant
Two real roots if D > 0, one if D = 0, none real if D < 0
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Remainder theorem
The remainder of f(x) divided by (x - a) is f(a)
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Law of cosines
c^2 = a^2 + b^2 - 2ab cos C
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Law of sines
a / sin A = b / sin B = c / sin C
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Equation of a circle
(x - h)^2 + (y - k)^2 = r^2
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Determinant of a 2x2 matrix
ad - bc
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Sin of a double angle
2 sin x cos x
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Cos of a double angle
cos^2 x - sin^2 x
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Logarithm of a product
log(ab) = log a + log b
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Change of base
log_a b = ln b / ln a
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Centripetal acceleration
v^2 / r
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Projectile maximum height (launch speed v at angle theta)
v^2 sin^2(theta) / (2g)
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Impulse
Force x time = change in momentum
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Pressure in a fluid
P = rho g h
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Specific heat equation
Q = m c delta T
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Equivalent resistance in parallel
1/R = 1/R1 + 1/R2
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Capacitance in series
1/C = 1/C1 + 1/C2
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Faraday's law
emf = -d(flux)/dt
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Magnetic force on a moving charge
F = q v B sin(theta)
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Mass-energy equivalence
E = m c^2
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Avogadro's number
6.02 x 10^23 per mole
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Density
mass / volume
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Percent yield
actual yield / theoretical yield x 100
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Rate of reaction factors
Concentration, temperature, surface area and catalyst
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Strong acids
HCl, HBr, HI, HNO3, H2SO4 and HClO4
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Valence electrons of group 1
1
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Boyle's law
P1 V1 = P2 V2 at constant temperature
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Charles's law
V1 / T1 = V2 / T2 at constant pressure
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Electronegativity trend
Increases across a period and decreases down a group
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Hess's law
The enthalpy change is independent of the route taken