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Author: Tinku Tara

Question-195721

Question Number 195721 by Humble last updated on 08/Aug/23 Answered by mr W last updated on 08/Aug/23 $${volume}\:{of}\:{copper}\:{V}_{{cu}} =\frac{\mathrm{25}}{\mathrm{9}.\mathrm{8}×\mathrm{8}.\mathrm{93}}=\mathrm{0}.\mathrm{286}\:{ml} \\ $$$${total}\:{volume}\:{V}=\frac{\mathrm{25}−\mathrm{20}}{\mathrm{9}.\mathrm{8}×\mathrm{1}.\mathrm{0}}=\mathrm{0}.\mathrm{510}\:{ml} \\ $$$${volume}\:{of}\:{bubble}\:{V}_{{b}} =\mathrm{0}.\mathrm{510}−\mathrm{0}.\mathrm{286}=\mathrm{0}.\mathrm{224}\:{ml} \\…

Question-195722

Question Number 195722 by Ari last updated on 08/Aug/23 Commented by Ari last updated on 08/Aug/23 Two metal blocks are placed on top of each other as in the figure. They are released in a vacuum, falling together freely under the action of the earth's gravitational field. What is the force acting on the 3 kg metal block during the fall Commented by mr W last updated on 08/Aug/23…

1-3-f-x-3-f-x-dx-1-3-f-x-3-df-x-1-3-t-3-dt-t-4-4-1-3-f-x-4-4-1-3-

Question Number 195689 by Shomurotovdiyorbek last updated on 07/Aug/23 $$\int_{\mathrm{1}} ^{\mathrm{3}} {f}\left({x}\right)^{\mathrm{3}} {f}'\left({x}\right){dx}=\int_{\mathrm{1}} ^{\mathrm{3}} \left({f}\left({x}\right)^{\mathrm{3}} \right){df}\left({x}\right)=\int_{\mathrm{1}} ^{\mathrm{3}} {t}^{\mathrm{3}} {dt}=\frac{{t}^{\mathrm{4}} }{\mathrm{4}}\int_{\mathrm{1}} ^{\mathrm{3}} =\frac{{f}\left({x}\right)^{\mathrm{4}} }{\mathrm{4}}\int_{\mathrm{1}} \mathrm{3} \\…

how-many-different-words-can-be-formed-from-the-letters-in-aaacdefgbbbb-such-that-a-a-and-a-b-are-not-next-to-each-other-see-also-Q-195606-

Question Number 195672 by mr W last updated on 07/Aug/23 $${how}\:{many}\:{different}\:{words}\:{can}\:{be} \\ $$$${formed}\:{from}\:{the}\:{letters}\:{in} \\ $$$$\boldsymbol{{aaacdefgbbbb}} \\ $$$${such}\:{that}\:{a}\:“\boldsymbol{{a}}''\:{and}\:{a}\:“\boldsymbol{{b}}''\:{are}\:{not} \\ $$$${next}\:{to}\:{each}\:{other}? \\ $$$$ \\ $$$$\left({see}\:{also}\:{Q}#\mathrm{195606}\right) \\ $$…

0-4-x-5-x-5-dx-

Question Number 195674 by Rodier97 last updated on 07/Aug/23 $$\:\:\:\int_{\mathrm{0}} ^{\mathrm{4}} \:\frac{{x}!}{\mathrm{5}!\left({x}−\mathrm{5}\right)!}\:{dx}\:=\:??? \\ $$ Commented by mr W last updated on 07/Aug/23 $${what}\:{do}\:{you}\:{mean}\:{with}\:\begin{pmatrix}{{x}}\\{\mathrm{5}}\end{pmatrix}\:? \\ $$…

Question-195681

Question Number 195681 by sonukgindia last updated on 07/Aug/23 Answered by Frix last updated on 07/Aug/23 $$=\frac{\mathrm{2}×\mathrm{3}×…×\mathrm{98}}{\mathrm{4}×\mathrm{5}×…×\mathrm{100}}=\mathrm{6}×\frac{\mathrm{98}!}{\mathrm{100}!}=\frac{\mathrm{6}}{\mathrm{99}×\mathrm{100}}=\frac{\mathrm{1}}{\mathrm{1650}} \\ $$ Answered by MM42 last updated on…

sequence-of-string-said-to-be-orderly-if-element-index-i-different-to-i-1-for-example-aba-has-orderly-value-2-abab-has-orderly-value-3-abaabb-has-orderly-value-3-if-there-are-7-a-and-13-b-exa

Question Number 195666 by uchihayahia last updated on 07/Aug/23 $$ \\ $$$$\:{sequence}\:{of}\:{string}\:{said}\:{to}\:{be}\:{orderly} \\ $$$$\:{if}\:{element}\:{index}\:{i}\:{different}\:{to}\:{i}+\mathrm{1} \\ $$$$\:{for}\:{example} \\ $$$$\:{aba}\:{has}\:{orderly}\:{value}\:\mathrm{2} \\ $$$$\:{abab}\:{has}\:{orderly}\:{value}\:\mathrm{3} \\ $$$$\:{abaabb}\:{has}\:{orderly}\:{value}\:\mathrm{3} \\ $$$$\:{if}\:{there}\:{are}\:\mathrm{7}\:{a}\:{and}\:\mathrm{13}\:{b} \\…