ANALITIESE MEETKUNDE Vraag 2   Reghoek ABCD het hoekpunte A (4; 0), B (–4; a ), C (–6; 0) en D.  B lê in die tweede kwadrant.   Regsklik op die volgende skakel om die skets oop te maak in ‘n aparte “tab”. 2.1 Bewys dat a = 4. (4) 2.2 Bepaal die vergelyking van die reguitlyn CD in die vorm . (4) 2.3 Bepaal die koördinate van D. (4) 2.4 Bepaal die lengte van AC. (2)   TOTAAL [14]

ANALITIESE MEETKUNDE Vraag 3   ‘n Trapesium met hoekpunte P (1; 2), Q (2; –3), R (0; –5) en S (–4; p ) word in die onderstaande skets getoon.  Daarbenewens is QR // PS.   Regsklik op die volgende skakel om die skets oop te maak in ‘n aparte “tab”.   3.1 Bewys dat p = –3. (4) 3.2 Bereken PS : QR in die eenvoudigste vorm. (5) 3.3 T ( x ; y ) op PS is sodanig dat PTRQ ‘n parallelogram is. Bepaal die koördinate van T. (5)   TOTAAL [14]

TRIGONOMETRIE Vraag 7 7.1 Teken die volgende grafieke vir x ∈ [–180°; 180°]:

Describe the difference between traditional line authority and staff authority. Provide an example of this difference.

Determine the amount of energy required to heat a 56.0 gram sample of ethanol from 28°C to 73°C. The specific heat of ethanol is 2.46 .

Which set of gaseous reactants below can be combined as is to measure the standard heat of formation of NF3?

A titration is run to find the concentration of a 75.0 mL sample of H2SO4. If 43.8 mL of 3.0 M KOH is needed to completely react the H2SO4 according to the reaction below, determine the concentration of the H2SO4 solution. H2SO4 (aq) + 2 KOH (aq) 2 H2O (l) + K2SO4 (aq)

Use the following equations to determine the ∆Hrxn of the reaction, A2 (g) + F (s) -> 3 B (l). A2 (g) + 2 C(s) -> B (l) + D (l)         ∆H= + 58 kJ C (s) + B (g) -> 1/2 D (l) + 1/2 F (s) ∆H= +94 kJ B (g) -> B (l)                                              ∆H= -45 kJ

A titration is run to find the concentration of a 15.0 mL sample of H2SO4. If 43.8 mL of 1.8 M KOH is needed to completely react the H2SO4 according to the reaction below, determine the concentration of the H2SO4 solution. H2SO4 (aq) + 2 KOH (aq) 2 H2O (l) + K2SO4 (aq)

Complete combustion of 1.0 mol of a hydrocarbon containing only carbon and hydrogen results in the following combustion mixture. Determine the empirical formula of the hydrocarbon.