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AllQuestion and Answers: Page 136
Question Number 209687 Answers: 3 Comments: 0
Question Number 209685 Answers: 1 Comments: 0
Question Number 209672 Answers: 2 Comments: 0
Question Number 209671 Answers: 2 Comments: 0
$$\mathrm{5}{x}+\mathrm{3}{x}=\mathrm{10} \\ $$
Question Number 209670 Answers: 2 Comments: 0
$${find}\:{the}\:{sum}\:{of}\:{sin}^{\mathrm{2}} \left(\mathrm{1}\right)+...+{sin}^{\mathrm{2}} \left(\mathrm{90}\right) \\ $$
Question Number 209662 Answers: 1 Comments: 0
$$\int\frac{\mathrm{1}}{\mathrm{sin}^{\mathrm{2}} {x}\left(\mathrm{1}+\mathrm{cos}^{\mathrm{2}} {x}\right)}{dx} \\ $$
Question Number 209659 Answers: 3 Comments: 0
Question Number 209656 Answers: 2 Comments: 0
$$ \\ $$$$\:\:\:\mathrm{2}{cos}^{\mathrm{2}} {x}−\mathrm{3}{cosx}+{sinx}+\mathrm{1}=\mathrm{0} \\ $$$$\:\:\:{help} \\ $$$$ \\ $$
Question Number 209650 Answers: 0 Comments: 1
$${if}\:{the}\:{acceleration}\:{is}\:{constant},\:{what}\: \\ $$$${will}\:{be}\:{the}\:{average}\:{and}\:{instantaneous} \\ $$$${accelerations}? \\ $$
Question Number 209639 Answers: 1 Comments: 1
Question Number 209637 Answers: 1 Comments: 8
Question Number 209633 Answers: 2 Comments: 0
Question Number 209630 Answers: 1 Comments: 0
$$\:\:{If}\:{A}\:\:{varies}\:{as}\:{r}^{\mathrm{2}} \:{and}\:{V}\:\:{varies}\:{as}\:{r}^{\mathrm{3}} \\ $$$$\:{find}\:{percentage}\:{increase}\:{in}\:{A}\:{and}\:{V} \\ $$$$\:{if}\:\:{r}\:{is}\:{increased}\:{by}\:\mathrm{20\%} \\ $$
Question Number 209631 Answers: 0 Comments: 0
$$\mathrm{Let}\:{u}_{{n}} \:\mathrm{be}\:\mathrm{a}\:\mathrm{set}\:\mathrm{satisfying}\:{u}_{\mathrm{1}} =\mathrm{1}\:\&\:{u}_{{n}+\mathrm{1}} ={u}_{{n}} +\frac{\mathrm{ln}\:{n}}{{u}_{{n}} }\:\:,\:\forall\:{n}\:\geqslant\mathrm{1} \\ $$$$\mathrm{1}.\:\mathrm{Prove}\:\mathrm{that}\:{u}_{\mathrm{2023}} >\sqrt{\mathrm{2023}.\mathrm{ln}\:\mathrm{2023}}. \\ $$$$\mathrm{2}.\:\mathrm{Find}:\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{{u}_{{n}} .\mathrm{ln}\:{n}}{{n}}. \\ $$
Question Number 209624 Answers: 1 Comments: 0
$$ \\ $$$$ \\ $$$$\mathrm{I}=\int_{\mathrm{0}} ^{\:\infty} \int_{\mathrm{0}} ^{\:\infty} \:\frac{\:\mathrm{1}}{\mathrm{1}+\:{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \:+{x}^{\mathrm{2}} {y}^{\mathrm{2}} }\:{dxdy}=? \\ $$$$\:{using}\:\:\:\:{polar}\:\:{system}... \\ $$
Question Number 209604 Answers: 0 Comments: 0
Question Number 209602 Answers: 2 Comments: 0
Question Number 209599 Answers: 4 Comments: 0
Question Number 209598 Answers: 3 Comments: 0
Question Number 209597 Answers: 2 Comments: 1
Question Number 209593 Answers: 0 Comments: 1
Question Number 209594 Answers: 0 Comments: 1
$$ \\ $$$$ \\ $$
Question Number 209590 Answers: 1 Comments: 1
Question Number 209582 Answers: 0 Comments: 4
Question Number 209580 Answers: 2 Comments: 0
$$\mathrm{If}\:\:\:\mathrm{a}_{\boldsymbol{\mathrm{n}}} >\mathrm{0}\:\:\:\mathrm{and}\:\:\:\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\:\mathrm{a}_{\boldsymbol{\mathrm{n}}} \:=\:\mathrm{0} \\ $$$$\mathrm{Find}:\:\:\:\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{1}}{\mathrm{n}}\:\underset{\boldsymbol{\mathrm{k}}=\mathrm{1}} {\overset{\boldsymbol{\mathrm{n}}} {\sum}}\:\mathrm{ln}\:\left(\frac{\mathrm{k}}{\mathrm{n}}\:+\:\mathrm{a}_{\boldsymbol{\mathrm{n}}} \right)\:=\:? \\ $$
Question Number 209576 Answers: 0 Comments: 0
$$\boldsymbol{\mathrm{select}}\:\boldsymbol{\mathrm{some}}\:\boldsymbol{\epsilon}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{corresponding}} \\ $$$$\boldsymbol{\mathrm{N}}'\boldsymbol{\mathrm{s}}?\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{series}}: \\ $$$$\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{2}^{\boldsymbol{\mathrm{n}}} } \\ $$$$\boldsymbol{\mathrm{klipto}}−\boldsymbol{\mathrm{quanta}} \\ $$
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