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Author: Tinku Tara

nice-calculus-in-AB-C-cos-A-cos-B-cos-C-1-9-find-the-value-of-cos-2-A-cos-2-B-cos-2-C-

Question Number 136094 by mnjuly1970 last updated on 19/Mar/21 $$\:\:\:\:\:\:\:\:\:\:\:….\:{nice}\:\:\:\:{calculus}…. \\ $$$$\:\:\:\:{in}\:{A}\overset{\Delta} {{B}C}\:::\:{cos}\left({A}\right){cos}\left({B}\right){cos}\left({C}\right)=\frac{\mathrm{1}}{\mathrm{9}} \\ $$$$\:\:\:{find}\:\:{the}\:{value}\:{of}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{cos}^{\mathrm{2}} \left({A}\right)+{cos}^{\mathrm{2}} \left({B}\right)+{cos}^{\mathrm{2}} \left({C}\right)=? \\ $$ Commented by MJS_new…

The-sign-for-is-not-congruent-to-is-present-on-the-keyboard-But-its-opposite-is-congruent-to-doesn-t-exist-Although-by-adding-two-signs-and-we-can-make-the-required-sign-b

Question Number 5013 by Rasheed Soomro last updated on 01/Apr/16 $${The}\:{sign}\:{for}\:“\:{is}\:{not}\:{congruent}\:{to}'' \\ $$$${is}\:{present}\:{on}\:{the}\:{keyboard}\:\left(\ncong\right). \\ $$$${But}\:{its}\:{opposite}\:“\:{is}\:{congruent}\:{to}'' \\ $$$${doesn}'{t}\:{exist}. \\ $$$${Although}\:{by}\:{adding}\:{two}\:{signs}\:'='\:{and}\:'\sim' \\ $$$${we}\:{can}\:{make}\:{the}\:{required}\:{sign}\:\left(\overset{\sim} {=}\right)\:{but} \\ $$$${I}\:{think}\:{it}\:{should}\:{be}\:{directly}\:{present}. \\…

Question-5011

Question Number 5011 by Yozzii last updated on 01/Apr/16 Commented by Yozzii last updated on 01/Apr/16 $${S}=\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{1}}{{ln}\left({n}\right)}\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{{tan}^{−\mathrm{1}} {i}}{{n}−{i}+\mathrm{1}}\right) \\ $$$${S}=?\: \\ $$…

A-piece-of-plastic-strip-1-metre-long-is-bent-to-form-an-isosceles-triangle-with-95-as-measure-of-its-largest-angle-Find-the-length-of-the-sides-

Question Number 5008 by Rasheed Soomro last updated on 31/Mar/16 $$\mathrm{A}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{plastic}\:\mathrm{strip}\:\mathrm{1}\:\mathrm{metre}\:\mathrm{long} \\ $$$$\mathrm{is}\:\mathrm{bent}\:\mathrm{to}\:\mathrm{form}\:\mathrm{an}\:\mathrm{isosceles}\:\mathrm{triangle} \\ $$$$\mathrm{with}\:\mathrm{95}°\:\mathrm{as}\:\mathrm{measure}\:\mathrm{of}\:\mathrm{its}\:\mathrm{largest}\:\mathrm{angle}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sides}. \\ $$ Commented by prakash jain last updated…

find-the-area-between-the-curve-y-3-2x-x-2-the-x-axis-and-the-line-y-3-find-the-volume-of-the-solid-generated-when-the-curve-is-rotated-completely-about-the-line-y-3-

Question Number 136076 by physicstutes last updated on 18/Mar/21 $$\mathrm{find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{between}\:\mathrm{the}\:\mathrm{curve}\:{y}\:=\:\mathrm{3}\:+\:\mathrm{2}{x}\:−{x}^{\mathrm{2}} ,\:\mathrm{the}\:{x}−\mathrm{axis} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{line}\:{y}\:=\:\mathrm{3}. \\ $$$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{the}\:\mathrm{solid}\:\mathrm{generated}\:\mathrm{when}\:\mathrm{the}\:\mathrm{curve}\:\mathrm{is} \\ $$$$\mathrm{rotated}\:\mathrm{completely}\:\mathrm{about}\:\mathrm{the}\:\mathrm{line}\:{y}\:=\:\mathrm{3} \\ $$ Answered by mr W last updated…

Question-70543

Question Number 70543 by mr W last updated on 05/Oct/19 Commented by mr W last updated on 05/Oct/19 $${a}\:{semi}−{cylinder}\:{with}\:{radius}\:{R}\:{and} \\ $$$${mass}\:{M}\:{rests}\:{on}\:{a}\:{rough}\:{table}\:{as}\:{shown}. \\ $$$${when}\:{a}\:{small}\:{impulse}\:{is}\:{given}\:{to}\:{the} \\ $$$${semi}−{cylinder},\:{it}\:{begins}\:{to}\:{oscillate}.…

Find-the-coefficient-of-x-17-in-the-expansion-of-x-1-x-2-x-3-x-19-

Question Number 5003 by 314159 last updated on 30/Mar/16 $${Find}\:{the}\:{coefficient}\:{of}\:{x}^{\mathrm{17}} \:{in}\:{the}\:{expansion}\:{of} \\ $$$$\left({x}+\mathrm{1}\right)\left({x}+\mathrm{2}\right)\left({x}+\mathrm{3}\right)…\left({x}+\mathrm{19}\right). \\ $$ Commented by 123456 last updated on 30/Mar/16 $$\mathrm{1}+\mathrm{1}+…+\mathrm{1}\:\left(\mathrm{17}\right) \\ $$$$\mathrm{1}+\mathrm{1}+…+\mathrm{1}\:\left(\mathrm{17}\right)+\mathrm{0}…