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Question Number 101554    Answers: 3   Comments: 0

(1/(cos80))−((√3)/(sin80))=?

$$\frac{\mathrm{1}}{\mathrm{cos80}}−\frac{\sqrt{\mathrm{3}}}{\mathrm{sin80}}=? \\ $$

Question Number 101553    Answers: 1   Comments: 0

solve the inequality (^3 log x+2)^(5x+1) ≥ (^3 log x +2)^(3−3x)

$$\mathrm{solve}\:\mathrm{the}\:\mathrm{inequality} \\ $$$$\left(\:^{\mathrm{3}} \mathrm{log}\:{x}+\mathrm{2}\right)^{\mathrm{5}{x}+\mathrm{1}} \:\geqslant\:\left(\:^{\mathrm{3}} \mathrm{log}\:{x}\:+\mathrm{2}\right)^{\mathrm{3}−\mathrm{3}{x}} \\ $$

Question Number 101551    Answers: 2   Comments: 0

Question Number 101546    Answers: 4   Comments: 1

Question Number 101531    Answers: 1   Comments: 0

find ∫(√(ax−x^2 ))dx

$${find}\:\int\sqrt{{ax}−{x}^{\mathrm{2}} }{dx} \\ $$

Question Number 105345    Answers: 1   Comments: 0

If the point ((√2) ,p) and (−(√2),q) lie on the graph y=x^3 +ax^2 +bx+c and q−p = 3 , then what the value of b ?

$${If}\:{the}\:{point}\:\left(\sqrt{\mathrm{2}}\:,{p}\right)\:{and}\:\left(−\sqrt{\mathrm{2}},{q}\right) \\ $$$${lie}\:{on}\:{the}\:{graph}\:{y}={x}^{\mathrm{3}} +{ax}^{\mathrm{2}} +{bx}+{c} \\ $$$${and}\:{q}−{p}\:=\:\mathrm{3}\:,\:{then}\:{what}\:{the} \\ $$$${value}\:{of}\:{b}\:?\: \\ $$

Question Number 101522    Answers: 1   Comments: 1

calculate : cos^2 47^o +cos^2 73^o +cos 47^o .cos 73^o +(1/2)

$$\mathrm{calculate}\::\:\mathrm{cos}\:^{\mathrm{2}} \mathrm{47}^{\mathrm{o}} +\mathrm{cos}\:^{\mathrm{2}} \mathrm{73}^{\mathrm{o}} +\mathrm{cos}\:\mathrm{47}^{\mathrm{o}} .\mathrm{cos}\:\mathrm{73}^{\mathrm{o}} +\frac{\mathrm{1}}{\mathrm{2}} \\ $$

Question Number 101523    Answers: 0   Comments: 1

Dear Joint Users, please use “answer” instead of “comment” when answering a question. it′s impossible to find unanswered questions at the moment. it makes no sense to search for “unanswered questions” anymore. maybe we need a search function for “uncommented questions” soon. Thank you

$$\mathrm{Dear}\:\mathrm{Joint}\:\mathrm{Users}, \\ $$$$\mathrm{please}\:\mathrm{use}\:``\mathrm{answer}''\:\mathrm{instead}\:\mathrm{of}\:``\mathrm{comment}'' \\ $$$$\mathrm{when}\:\mathrm{answering}\:\mathrm{a}\:\mathrm{question}.\:\mathrm{it}'\mathrm{s}\:\mathrm{impossible} \\ $$$$\mathrm{to}\:\mathrm{find}\:\mathrm{unanswered}\:\mathrm{questions}\:\mathrm{at}\:\mathrm{the}\:\mathrm{moment}. \\ $$$$\mathrm{it}\:\mathrm{makes}\:\mathrm{no}\:\mathrm{sense}\:\mathrm{to}\:\mathrm{search}\:\mathrm{for}\:``\mathrm{unanswered} \\ $$$$\mathrm{questions}''\:\mathrm{anymore}.\:\mathrm{maybe}\:\mathrm{we}\:\mathrm{need}\:\mathrm{a}\:\mathrm{search} \\ $$$$\mathrm{function}\:\mathrm{for}\:``\mathrm{uncommented}\:\mathrm{questions}''\:\mathrm{soon}. \\ $$$$\mathrm{Thank}\:\mathrm{you} \\ $$

Question Number 101514    Answers: 2   Comments: 4

Question Number 101510    Answers: 0   Comments: 1

What are all critical point for f(x,y) = 2x^2 −y^3 −2xy

$$\mathrm{What}\:\mathrm{are}\:\mathrm{all}\:\mathrm{critical}\:\mathrm{point} \\ $$$$\mathrm{for}\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)\:=\:\mathrm{2x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{3}} −\mathrm{2xy} \\ $$

Question Number 101500    Answers: 2   Comments: 1

let f(x)=cosx .cos(2x).cos(3x) 1)calculate f^((n)) (x) and f^((n)) (0) 2)developp f at integr serie 3. calculate ∫_0 ^(π/2) f(x)dx

$$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{cosx}\:.\mathrm{cos}\left(\mathrm{2x}\right).\mathrm{cos}\left(\mathrm{3x}\right) \\ $$$$\left.\mathrm{1}\right)\mathrm{calculate}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{x}\right)\:\mathrm{and}\:\mathrm{f}^{\left(\mathrm{n}\right)} \left(\mathrm{0}\right) \\ $$$$\left.\mathrm{2}\right)\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\:\mathrm{integr}\:\mathrm{serie} \\ $$$$\mathrm{3}.\:\mathrm{calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx} \\ $$

Question Number 101498    Answers: 1   Comments: 3

If 4^x = 5^y = 20^z . what is z in term of x and y. ★♠

$$\mathrm{If}\:\mathrm{4}^{\mathrm{x}} \:=\:\mathrm{5}^{\mathrm{y}} \:=\:\mathrm{20}^{\mathrm{z}} \:. \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{z}\:\mathrm{in}\:\mathrm{term}\:\mathrm{of}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}. \\ $$$$\bigstar\spadesuit \\ $$

Question Number 101493    Answers: 1   Comments: 0

∫(√(x.((x.((x.((x.((x.((x...))^(1/7) ))^(1/6) ))^(1/5) ))^(1/4) ))^(1/3) )) dx =

$$\int\sqrt{\mathrm{x}.\sqrt[{\mathrm{3}}]{\mathrm{x}.\sqrt[{\mathrm{4}}]{\mathrm{x}.\sqrt[{\mathrm{5}}]{\mathrm{x}.\sqrt[{\mathrm{6}}]{\mathrm{x}.\sqrt[{\mathrm{7}}]{\mathrm{x}...}}}}}}\:\mathrm{dx}\:=\: \\ $$$$ \\ $$

Question Number 101491    Answers: 0   Comments: 2

Question Number 101489    Answers: 1   Comments: 0

Question Number 101486    Answers: 0   Comments: 0

Question Number 101476    Answers: 1   Comments: 0

Question Number 101474    Answers: 1   Comments: 0

Question Number 101473    Answers: 1   Comments: 0

Question Number 101471    Answers: 0   Comments: 4

Question Number 101461    Answers: 1   Comments: 0

Question Number 101459    Answers: 0   Comments: 0

Question Number 101458    Answers: 0   Comments: 6

Question Number 101451    Answers: 2   Comments: 1

Question Number 101447    Answers: 0   Comments: 6

To sir Tinkutara: please sir can you help us with a development which allows our maths work which is saved to be converted directly to a portable document format(PDF)?

$$\mathrm{To}\:\mathrm{sir}\:\mathrm{Tinkutara}:\:\mathrm{please}\:\mathrm{sir}\:\mathrm{can}\:\mathrm{you}\:\mathrm{help}\:\mathrm{us} \\ $$$$\mathrm{with}\:\mathrm{a}\:\mathrm{development}\:\mathrm{which}\:\mathrm{allows}\:\mathrm{our}\:\mathrm{maths}\:\mathrm{work} \\ $$$$\mathrm{which}\:\mathrm{is}\:\mathrm{saved}\:\mathrm{to}\:\mathrm{be}\:\mathrm{converted}\:\mathrm{directly}\:\mathrm{to}\:\mathrm{a}\: \\ $$$$\mathrm{portable}\:\mathrm{document}\:\mathrm{format}\left(\mathrm{PDF}\right)?\: \\ $$

Question Number 101439    Answers: 0   Comments: 10

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