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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

Question Number 101436 Answers: 1 Comments: 0

Question Number 101425 Answers: 3 Comments: 2

A student wrote three papers in mathematics examinations. Her marks for the two of papers were 77 and 72 respectively. To obtain grade A, an average of not less than 75 marks is required for the three papers. How many marks must she get in the third paper to get grade A?

$$\mathrm{A}\:\mathrm{student}\:\mathrm{wrote}\:\mathrm{three}\:\mathrm{papers}\:\mathrm{in}\:\mathrm{mathematics} \\ $$$$\mathrm{examinations}.\:\mathrm{Her}\:\mathrm{marks}\:\mathrm{for}\:\mathrm{the}\:\mathrm{two}\:\mathrm{of} \\ $$$$\mathrm{papers}\:\mathrm{were}\:\mathrm{77}\:\mathrm{and}\:\mathrm{72}\:\mathrm{respectively}.\:\mathrm{To} \\ $$$$\mathrm{obtain}\:\mathrm{grade}\:\mathrm{A},\:\mathrm{an}\:\mathrm{average}\:\mathrm{of}\:\mathrm{not}\:\mathrm{less} \\ $$$$\mathrm{than}\:\mathrm{75}\:\mathrm{marks}\:\mathrm{is}\:\mathrm{required}\:\mathrm{for}\:\mathrm{the}\:\mathrm{three} \\ $$$$\mathrm{papers}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{marks}\:\mathrm{must}\:\mathrm{she}\:\mathrm{get} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{third}\:\mathrm{paper}\:\mathrm{to}\:\mathrm{get}\:\mathrm{grade}\:\mathrm{A}? \\ $$

Question Number 101422 Answers: 0 Comments: 2

lim_(h→0 ) ((sin ((α+h)^2 )−sin (α^2 ))/(cos ((α+h)^2 sin (α+h)−cos (α^2 )sin (α))) =?

$$\underset{\mathrm{h}\rightarrow\mathrm{0}\:} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left(\left(\alpha+\mathrm{h}\right)^{\mathrm{2}} \right)−\mathrm{sin}\:\left(\alpha^{\mathrm{2}} \right)}{\mathrm{cos}\:\left(\left(\alpha+\mathrm{h}\right)^{\mathrm{2}} \mathrm{sin}\:\left(\alpha+\mathrm{h}\right)−\mathrm{cos}\:\left(\alpha^{\mathrm{2}} \right)\mathrm{sin}\:\left(\alpha\right)\right.}\:=? \\ $$

Question Number 101419 Answers: 2 Comments: 0

y′′−4y′+3y = (e^x /(1+e^x ))

$$\mathrm{y}''−\mathrm{4y}'+\mathrm{3y}\:=\:\frac{\mathrm{e}^{\mathrm{x}} }{\mathrm{1}+\mathrm{e}^{\mathrm{x}} } \\ $$

Question Number 101418 Answers: 0 Comments: 6

Find 2020 term from series (1/1),(2/1),(1/2),(3/1),(2/2),(1/3),(4/1),(3/2),(2/3),(1/4) ,(5/1),(4/2),... is ___ (A) ((2019)/(2020)) (B) ((61)/4) (C)((63)/1) (D) ((96)/4) (E) ((2020)/(2019))

$$\mathrm{Find}\:\mathrm{2020}\:\mathrm{term}\:\mathrm{from}\:\mathrm{series} \\ $$$$\frac{\mathrm{1}}{\mathrm{1}},\frac{\mathrm{2}}{\mathrm{1}},\frac{\mathrm{1}}{\mathrm{2}},\frac{\mathrm{3}}{\mathrm{1}},\frac{\mathrm{2}}{\mathrm{2}},\frac{\mathrm{1}}{\mathrm{3}},\frac{\mathrm{4}}{\mathrm{1}},\frac{\mathrm{3}}{\mathrm{2}},\frac{\mathrm{2}}{\mathrm{3}},\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$,\frac{\mathrm{5}}{\mathrm{1}},\frac{\mathrm{4}}{\mathrm{2}},...\:\mathrm{is}\:\_\_\_ \\ $$$$\left(\mathrm{A}\right)\:\frac{\mathrm{2019}}{\mathrm{2020}}\:\:\:\:\:\:\left(\mathrm{B}\right)\:\frac{\mathrm{61}}{\mathrm{4}}\:\:\:\:\:\left(\mathrm{C}\right)\frac{\mathrm{63}}{\mathrm{1}} \\ $$$$\left(\mathrm{D}\right)\:\frac{\mathrm{96}}{\mathrm{4}}\:\:\:\:\:\:\left(\mathrm{E}\right)\:\frac{\mathrm{2020}}{\mathrm{2019}} \\ $$

Question Number 101409 Answers: 0 Comments: 1

which is correct ∫((5x^4 +4x^5 )/((x^5 +x+1)^2 )) dx is equal to a) (x^5 /(x^5 +x+1)) b)−((x+1)/(x^5 +x+1))

$$\mathrm{which}\:\mathrm{is}\:\mathrm{correct} \\ $$$$\int\frac{\mathrm{5x}^{\mathrm{4}} +\mathrm{4x}^{\mathrm{5}} }{\left(\mathrm{x}^{\mathrm{5}} +\mathrm{x}+\mathrm{1}\right)^{\mathrm{2}} }\:\mathrm{dx}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$$$\left.\mathrm{a}\left.\right)\:\frac{\mathrm{x}^{\mathrm{5}} }{\mathrm{x}^{\mathrm{5}} +\mathrm{x}+\mathrm{1}}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{b}\right)−\frac{\mathrm{x}+\mathrm{1}}{\mathrm{x}^{\mathrm{5}} +\mathrm{x}+\mathrm{1}} \\ $$

Question Number 101393 Answers: 1 Comments: 0

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