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Category: Mensuration

find-the-area-of-the-region-enclosed-by-the-polar-curve-r-4-2-cos-

Question Number 87146 by john santu last updated on 03/Apr/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{region}\: \\ $$$$\mathrm{enclosed}\:\mathrm{by}\:\mathrm{the}\:\mathrm{polar}\:\mathrm{curve}\: \\ $$$$\mathrm{r}\:=\:\mathrm{4}\:+\:\mathrm{2}\:\mathrm{cos}\:\theta\:? \\ $$ Answered by jagoll last updated on 03/Apr/20 Commented…

Question-87133

Question Number 87133 by jagoll last updated on 03/Apr/20 Commented by jagoll last updated on 03/Apr/20 $$\mathrm{dear}\:\mathrm{miss}\:\mathrm{tawa}. \\ $$$$\angle\:\mathrm{MEA}\:=\:\mathrm{45}^{\mathrm{o}} \:,\:\angle\mathrm{CAB}\:=\:\mathrm{19}^{\mathrm{o}} \\ $$$$\mathrm{find}\:\angle\mathrm{CPB}\:=\:? \\ $$ Commented…

Question-87027

Question Number 87027 by john santu last updated on 02/Apr/20 Answered by som(math1967) last updated on 05/Apr/20 $$\angle{DCO}={alt}\angle{OAP}=\theta\left({let}\right) \\ $$$$\angle{COQ}=\angle{OAP}=\theta \\ $$$${again}\:\angle{ADO}=\angle{DCO}=\theta{ns} \\ $$$$\left[\bigtriangleup{ADO}\sim\bigtriangleup{DCO}\right] \\…

Question-151934

Question Number 151934 by john_santu last updated on 24/Aug/21 Answered by MJS_new last updated on 25/Aug/21 $$\mathrm{3}\left({x}^{\mathrm{2}} −\mathrm{1}\right)=\left(\mathrm{3}+\mathrm{4}\sqrt{{x}+\mathrm{1}}\right){x} \\ $$$$\Rightarrow \\ $$$${x}_{\mathrm{1}} =−\frac{\mathrm{11}}{\mathrm{18}}+\frac{\sqrt{\mathrm{13}}}{\mathrm{18}} \\ $$$${x}_{\mathrm{2}}…

1-Determine-the-following-if-it-is-convergent-or-divergent-n-1-sin-n-n-2-n-1-sin-n-p-n-p-p-R-find-the-range-of-p-when-it-is-convergent-

Question Number 86113 by Tony Lin last updated on 27/Mar/20 $$\left(\mathrm{1}\right){Determine}\:{the}\:{following} \\ $$$${if}\:{it}\:{is}\:{convergent}\:{or}\:{divergent} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{sin}\left({n}\right)}{{n}} \\ $$$$\left(\mathrm{2}\right)\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{sin}\left({n}^{{p}} \right)}{{n}^{{p}} },\:{p}\epsilon\mathbb{R},{find}\:{the}\:{range}\: \\ $$$${of}\:{p}\:{when}\:{it}\:{is}\:{convergent}…

Given-that-x-iy-a-b-sin-icos-show-that-b-2-1-x-2-y-2-a-2-2abx-

Question Number 151561 by peter frank last updated on 21/Aug/21 $$\mathrm{Given}\:\mathrm{that}\:\mathrm{x}+\mathrm{iy}=\frac{\mathrm{a}}{\mathrm{b}+\mathrm{sin}\:\theta+\mathrm{icos}\:\theta} \\ $$$$\mathrm{show}\:\mathrm{that} \\ $$$$\left(\mathrm{b}^{\mathrm{2}} −\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \right)+\mathrm{a}^{\mathrm{2}} =\mathrm{2abx} \\ $$ Answered by peter frank…