Calculating devices questions | form five Pure Advanced Mathematics

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#	Question
1	Use a non programmable scientific calculator to evaluate $left [ frac{e^6xln7}{sqrt{15}} ight ]^{frac{1}{4}}$ $left [ sqrt[7]{387.9947} ight ]^{log_{10}5}$ Mathematical Calculation
2	By using mathematical tables evaluate $left ( frac{(78.41)^3 sqrt{142.3}}{sqrt[4]{0.1562}} ight )^{frac{1}{2}}$ Mathematical Calculation
3	By using a non programmable scientific calculator, compute the following expression to eight significant figures. $sqrt[5]{17tan^{-1}(2.4) cosec 15^{circ} Cos 15^{circ}Sin 15^{circ}}$ Mathematical Calculation
4	Using a mode of your scientific calculator, find $tan^{-1}frac{3}{2}+cosh^{-1}frac{5}{2}$ $log_{2}3 + log_5102$ $arc log(0.481)+3.17$ Mathematical Calculation
5	The population of Dar es Salaam city is modeled by the equation $P(t)=P_{0}e^{lambda t}$ where $lambda = 0.034657$ per year. Use a non-programmable calculator to find the time $t$ in years when the population in the city is three times the initial population $P_{0}$ . Mathematical Calculation
6	By using a non-programmable calculator : Calculate $log_{e}(e^{4}+2ln 5)+log 5$ (Give your answer correct to six decimal places) Obtain the value of $sqrt{frac{(4.03)^{3} imes (814765)^{0.5})}{sqrt{5}}}$ correct to three significant figures. Mathematical Calculation
7	The monthly salaries in Tanzanian Shillings for 20 employees of KNCU are 260,000.00, 170,000.00, 85,000.00, 505,000.00, 129,000.00, 89,000.00, 220,000.00, 157,000.00, 103,000.00, 480,000.00, 790,000.00, 600,000.00, 340,000.00, 144,000.00, 128,000.00, 90,000.00, 102,000.00, 185,000.00, 219,000.00 and 195,000.00. Use the statistical functions of the scientific calculator to calculate: The mean $(overline{x})$ and The standard deviation $(xdelta n )$ Mathematical Calculation
8	By using a non-programmable calculator, evaluate the following expressions correct to four decimal places. $left ( sqrt{frac{(8.621)(27.34)}{52.18+0.0724}} ight )^{frac{3}{5}}$ and $sum_{x=0}^{2}xe^{x}log(x+1))^{frac{1}{3}}$ Mathematical Calculation
9	Given a=14.2, b=12.6, c=8.4, T(s(s-a)(s-b)(s-c))½ and 2s=a+b+c. Use a non-programmable calculator to find the value of T correctly to four decimal places. Mathematical Calculation
10	By using a scientific calculator compute $frac{sqrt{240} imes e^{ln^{frac{1}{3}}} sin 22^{o}}{sqrt{ an 17^{o} imes 3^{4ln 11}}}$ correct to 3 significant figures. $ln frac{sqrt{98.2} imes (0.0076)^{-1} imes 10^{7}}{ an frac{pi}{3} imes cos ^{3} frac{pi}{4}}$ correct to 6 significant figures. Mathematical Calculation