Partial Fractions Mathematics N5

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Angular Motion Engineering Science N4

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  Chapter 4 Angular Motion 4.1 Introduction   Angular displacement unlike linear displacement is displacement that is defined by number of rotations or number of revolutions per unit second about a fixed point or center (shaft).                                   The diagrams below illustrate the fact that the radius or diameter of the rotating component is considered when there is a conversion of angular velocity into linear velocity.                                                                ...
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Boiler Efficiency (Steam Power Plant)

    Boiler Efficiency (Steam Power Plant) There are three types of electrical power stations namely: a) Hydro electricity b) Thermal Power Plant c) Nuclear Power Plant Hydro electricity is the generation of electricity based on the potential energy of the water in a dam driving or turning the water turbines.  Thermal Power Plant or Steam Power Plant is the generation of electricity based on the rotation of a steam turbine by the steam that impinges on the blades on the turbine. The generation of electrical power in the nuclear power plant  is based on energy that is derived or obtained from  radioactive substances. The generation of   power in b above is the main focus of  Power Machines N5 and Power Machines N6. The steam that drives the steam turbines is generated from a storage component of the power plant referred to as the boiler. A boiler is a water storage device. The continuous addition of heat from the burning of fuels such as coal or gas...
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Definition of the Cubic Function

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  Definition of the Cubic Function The cubic function is a function or graph (curve) is defined by the two formulas below: a) y= ax^3+bx^2+cx+d    (expanded standard form) b) y= (x+1)(x+2)(x+3)     (factorized form)  (factors of the cubic function)  The cubic curve or function has three x intercepts. For the  factorized cubic function as stated earlier y= (x+1)(x+2)(x+3) the x intercepts are x=-1, x=-2 and x= -3. The relationship between the two cubic formulas as stated above is based on the expansion of the factorized cubic formula, y= (x+1)(x+2)(x+3). The expansion of the cubic function y= (x+1)(x+2)(x+3) is calculated thus:       y= (x+1)[(x(x+3) +2(x+1)] y= (x+1)[x^2+3x+2x+1] y= (x+1)[x^2+5x+1] y= x[x^2+5x+1]+1[x^2+5x+1]  y= [x^3+5x^2+x]+x^2+5x+1] add like terms  y= [x^3+5x^2+x^2+x+5x+1] y=...................................................... The intercepts of the cubic functions are evaluated from the facto...
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