Question Number 66846 by John Kaloki Musau last updated on 20/Aug/19 Commented by John Kaloki Musau last updated on 20/Aug/19 The diagram above shows a cross-section of a bottle. The lower part ABC is a hemisphere of radius 5.2cm and the upper part is a frustrum of a cone. The top radius of the frustrum is one third of the radius of the hemisphere. The hemispherical part is conpletely filled with water as shown in the diagram. When the container is inverted, the water now conpletely fills only the frustfum part. (a) Determine the height of the frustrum part. (b) Find the surface area of the frustrum part of the bottle. Commented by John Kaloki…
Question Number 132382 by liberty last updated on 13/Feb/21 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{coefficient}\:\mathrm{x}^{\mathrm{10}} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{expansion}\:\mathrm{of}\:\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} −\mathrm{x}^{\mathrm{3}} \right)^{\mathrm{8}} \\ $$ Answered by EDWIN88 last updated on 13/Feb/21 $$\mathrm{by}\:\mathrm{multinomial}\:\mathrm{theorem}\:;\:\mathrm{coefficient}\:\mathrm{of}\:\mathrm{x}^{\mathrm{10}} \\…
Question Number 66845 by John Kaloki Musau last updated on 20/Aug/19 $${A}\:{cylindrical}\:{tank}\:{of}\:{radius}\:\mathrm{2}{m}\: \\ $$$${and}\:{height}\:\mathrm{1}.\mathrm{5}{m}\:{initially}\:{contains} \\ $$$${water}\:{to}\:{a}\:{depth}\:{of}\:\mathrm{50}{cm}.\:{Water} \\ $$$${is}\:{added}\:{to}\:{the}\:{tank}\:{at}\:{the}\:{rate}\:{of}\: \\ $$$$\mathrm{62}.\mathrm{84}{l}\:{per}\:{minute}\:{for}\:\mathrm{15}\:{minutes}. \\ $$$${Find}\:{the}\:{new}\:{height}\:{of}\:{water}\:{in} \\ $$$${the}\:{tank}. \\…
Question Number 66842 by John Kaloki Musau last updated on 20/Aug/19 Commented by John Kaloki Musau last updated on 20/Aug/19 In the figure above,BAD and CBD are right angled triangles. Find the length of AB. Commented by John Kaloki…
Question Number 1307 by Rasheed Ahmad last updated on 21/Jul/15 $${f}\left(\mathrm{2}{x}\right)−\mathrm{2}\left[\:{f}\left({x}\right)\:\right]^{\mathrm{2}} +\mathrm{1}=\mathrm{0} \\ $$$${f}\left({x}\right)=? \\ $$ Commented by Rasheed Soomro last updated on 22/Jul/15 $$\left({Rasheed}\:{Ahmad}\right)…
Question Number 132376 by Ar Brandon last updated on 13/Feb/21 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{sin}\left(\mathrm{nx}\right)}{\mathrm{sinx}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1304 by 314159 last updated on 20/Jul/15 $${If}\:\mathrm{3}^{{log}\:\mathrm{3}{x}} =\mathrm{4}^{{log}\:\mathrm{4}{x}} ,\:{find}\:{x}. \\ $$$$ \\ $$ Answered by Rasheed Soomro last updated on 20/Jul/15 $$\mathrm{3}^{{log}\:\mathrm{3}{x}}…
Question Number 132373 by Ari last updated on 13/Feb/21 Answered by Ari last updated on 13/Feb/21 Answered by mr W last updated on 14/Feb/21 Commented…
Question Number 1302 by Rasheed Ahmad last updated on 20/Jul/15 $${Generalization}\:{of}\:{Q}\:{No}\:\mathrm{1296} \\ $$$${f}\left({x}+{k}\right)=\left[\:{f}\left({x}\right)\:\right]^{{n}} \\ $$$${f}\left({x}\right)=? \\ $$ Answered by prakash jain last updated on 21/Jul/15…
Question Number 132368 by otchereabdullai@gmail.com last updated on 13/Feb/21 $$\mathrm{Show}\:\mathrm{that}\:\mathrm{log}_{\mathrm{2}} \mathrm{5}\:.\:\mathrm{log}_{\mathrm{4}} \mathrm{3}\:.\:\mathrm{log}_{\mathrm{25}} \mathrm{16}\:=\mathrm{log}_{\mathrm{2}} \mathrm{3} \\ $$ Answered by mr W last updated on 13/Feb/21 $${generally}\:\mathrm{log}_{{a}}…