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AllQuestion and Answers: Page 114
Question Number 200570 Answers: 1 Comments: 0
Question Number 200569 Answers: 1 Comments: 0
Question Number 200568 Answers: 1 Comments: 2
Question Number 200565 Answers: 1 Comments: 2
$$\mathrm{sin}^{\mathrm{10}} \mathrm{x}\:\:+\:\:\mathrm{cos}^{\mathrm{10}} \mathrm{x}\:\:=\:\:\frac{\mathrm{29}}{\mathrm{16}}\:\mathrm{cos}^{\mathrm{4}} \mathrm{2x} \\ $$$$\mathrm{find}:\:\:\:\mathrm{x}\:=\:? \\ $$
Question Number 200594 Answers: 2 Comments: 0
Question Number 200553 Answers: 0 Comments: 0
$$\:\:\:\:\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}\right)}{\:\sqrt{\mathrm{1}+\mathrm{x}}}\:\mathrm{dx}\:=?\: \\ $$
Question Number 200549 Answers: 1 Comments: 0
Question Number 200533 Answers: 2 Comments: 5
Question Number 200531 Answers: 1 Comments: 0
Question Number 200498 Answers: 5 Comments: 3
$${solve}\:{for}\:{x}\in{R} \\ $$$$\sqrt{{x}−\frac{\mathrm{1}}{{x}}}+\sqrt{\mathrm{1}−\frac{\mathrm{1}}{{x}}}={x} \\ $$
Question Number 200476 Answers: 1 Comments: 0
Question Number 200475 Answers: 1 Comments: 0
Question Number 200474 Answers: 1 Comments: 0
Question Number 200472 Answers: 0 Comments: 0
Question Number 200471 Answers: 3 Comments: 0
Question Number 200465 Answers: 2 Comments: 1
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{fifth}\:\mathrm{powers}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{x}^{\mathrm{3}} −\mathrm{2x}^{\mathrm{2}} +\mathrm{x}−\mathrm{1}=\mathrm{0}\:\mathrm{by} \\ $$$$\mathrm{applying}\:\mathrm{synthetic}\:\mathrm{division} \\ $$
Question Number 200464 Answers: 1 Comments: 0
$$\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{2}}} {\int}}\frac{{dx}}{\mathrm{1}+\mathrm{tan}^{\mathrm{2023}} \:{x}}=??????? \\ $$
Question Number 200460 Answers: 1 Comments: 0
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{cardano}'\mathrm{s}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{equation}\:\mathrm{28x}^{\mathrm{3}} −\mathrm{9x}^{\mathrm{2}} +\mathrm{1}=\mathrm{0} \\ $$
Question Number 200459 Answers: 0 Comments: 1
$$\mathrm{In}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}^{\mathrm{3}} −\mathrm{x}−\mathrm{1}=\mathrm{0},\:\mathrm{find}\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{s}_{\mathrm{6}} . \\ $$
Question Number 200457 Answers: 1 Comments: 1
Question Number 200450 Answers: 1 Comments: 0
$${if}\:\:\:\frac{{sin}\mathrm{4}{x}}{{cos}\mathrm{6}{x}}\:=\:\mathrm{0}\:\:\:{find}\:\:\:{x}\:=\:? \\ $$
Question Number 200446 Answers: 1 Comments: 0
$${fund}\:\:\:\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\left(\mathrm{3}\:+\:\left(−\mathrm{1}\right)^{\boldsymbol{{n}}} \right)^{\boldsymbol{{n}}} }{{n}}\:{x}^{\boldsymbol{{n}}} \:=\:? \\ $$
Question Number 200444 Answers: 1 Comments: 0
Question Number 200438 Answers: 0 Comments: 1
$$\mathrm{Find}: \\ $$$$\sqrt{\mathrm{3}\:+\:\sqrt{\mathrm{6}\:+\:\sqrt{\mathrm{9}\:+\:...\:+\:\sqrt{\mathrm{96}\:+\:\sqrt{\mathrm{99}}}}}}\:=\:? \\ $$
Question Number 200432 Answers: 0 Comments: 2
Question Number 200428 Answers: 1 Comments: 0
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