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Question Number 107704    Answers: 0   Comments: 0

Question Number 107705    Answers: 0   Comments: 0

Question Number 107696    Answers: 1   Comments: 1

Question Number 107695    Answers: 1   Comments: 0

♠BeMath♠ ∫_0 ^1 ((x−1)/((x+1)ln x)) dx ?

$$\:\:\:\spadesuit\mathcal{B}{e}\mathcal{M}{ath}\spadesuit \\ $$$$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{{x}−\mathrm{1}}{\left({x}+\mathrm{1}\right)\mathrm{ln}\:{x}}\:{dx}\:?\: \\ $$

Question Number 107690    Answers: 1   Comments: 0

“BeMath“ Let the complex number z satisfies the equation 3(z−1)= i(z+1) (1) find z in the form a+bi where a,b ∈R (2) find the value of ∣z∣ and ∣z−z^∗ ∣

$$\:\:\:\:\:\:\:\:``\mathcal{B}{e}\mathcal{M}{ath}`` \\ $$$${Let}\:{the}\:{complex}\:{number}\:{z}\:{satisfies}\:{the} \\ $$$${equation}\:\mathrm{3}\left({z}−\mathrm{1}\right)=\:{i}\left({z}+\mathrm{1}\right)\: \\ $$$$\left(\mathrm{1}\right)\:{find}\:{z}\:{in}\:{the}\:{form}\:{a}+{bi}\:{where}\:{a},{b}\:\in\mathbb{R}\: \\ $$$$\left(\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\mid{z}\mid\:{and}\:\mid{z}−{z}^{\ast} \mid\: \\ $$$$ \\ $$

Question Number 107687    Answers: 0   Comments: 0

Question Number 107684    Answers: 1   Comments: 0

“BeMath“ ln tan 1°+ln tan 2°+ln tan 3°+...+ln tan 89°=?

$$\:\:\:\:\:``\mathcal{B}{e}\mathcal{M}{ath}`` \\ $$$$\:\mathrm{ln}\:\mathrm{tan}\:\mathrm{1}°+\mathrm{ln}\:\mathrm{tan}\:\mathrm{2}°+\mathrm{ln}\:\mathrm{tan}\:\mathrm{3}°+...+\mathrm{ln}\:\mathrm{tan}\:\mathrm{89}°=? \\ $$

Question Number 107679    Answers: 0   Comments: 0

dear tinku tara Please add a option which gives us to save a file as pdf.

$$\mathrm{dear}\:\mathrm{tinku}\:\mathrm{tara}\: \\ $$$$\mathrm{Please}\:\mathrm{add}\:\mathrm{a}\:\mathrm{option}\:\mathrm{which}\:\mathrm{gives}\: \\ $$$$\mathrm{us}\:\mathrm{to}\:\mathrm{save}\:\mathrm{a}\:\mathrm{file}\:\mathrm{as}\:\mathrm{pdf}. \\ $$

Question Number 107674    Answers: 2   Comments: 0

f(x)=(√x)(√x) D_f =???

$${f}\left({x}\right)=\sqrt{{x}}\sqrt{{x}}\:\:\:\:\:\:\:{D}_{{f}} =??? \\ $$

Question Number 107673    Answers: 3   Comments: 0

Question Number 107672    Answers: 1   Comments: 2

♠BeMath♠ ((4sin (((2π)/7))+sec ((π/(14))))/(cot ((π/7)))) ?

$$\:\:\:\:\:\spadesuit\mathcal{B}{e}\mathcal{M}{ath}\spadesuit \\ $$$$\:\:\:\:\frac{\mathrm{4sin}\:\left(\frac{\mathrm{2}\pi}{\mathrm{7}}\right)+\mathrm{sec}\:\left(\frac{\pi}{\mathrm{14}}\right)}{\mathrm{cot}\:\left(\frac{\pi}{\mathrm{7}}\right)}\:? \\ $$

Question Number 107659    Answers: 1   Comments: 0

∮Bobhans∮ If all the letters of the word MISSISSIPPI are written down at random , the probability that all the four S appear consecutively is ___

$$\:\:\:\:\:\oint\mathbb{B}\mathrm{obhans}\oint \\ $$$$\mathrm{If}\:\mathrm{all}\:\mathrm{the}\:\mathrm{letters}\:\mathrm{of}\:\mathrm{the}\:\mathrm{word}\:\mathrm{MISSISSIPPI}\:\mathrm{are}\:\mathrm{written}\:\mathrm{down}\: \\ $$$$\mathrm{at}\:\mathrm{random}\:,\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{all}\:\mathrm{the}\:\mathrm{four}\:\mathrm{S}\:\mathrm{appear}\:\mathrm{consecutively}\:\mathrm{is}\:\_\_\_ \\ $$

Question Number 107658    Answers: 1   Comments: 0

⋇JS⋇ A metal box (without top) is tobe contructed from a square sheet of metal that is 10 dm on the side by first cutting the square pieces of the same size from the corners of the sheet and folding up sides. what size squares should be cut in order to maximize the volume of the box.

$$\:\:\:\divideontimes\mathcal{JS}\divideontimes \\ $$$${A}\:{metal}\:{box}\:\left({without}\:{top}\right)\:{is}\:{tobe} \\ $$$${contructed}\:{from}\:{a}\:{square}\:{sheet} \\ $$$${of}\:{metal}\:{that}\:{is}\:\mathrm{10}\:{dm}\:{on}\:{the} \\ $$$${side}\:{by}\:{first}\:{cutting}\:{the}\:{square} \\ $$$${pieces}\:{of}\:{the}\:{same}\:{size}\:{from}\:{the} \\ $$$${corners}\:{of}\:{the}\:{sheet}\:{and}\:{folding} \\ $$$${up}\:{sides}.\:{what}\:{size}\:{squares} \\ $$$${should}\:{be}\:{cut}\:{in}\:{order}\:{to} \\ $$$${maximize}\:{the}\:{volume}\:{of}\:{the}\:{box}. \\ $$

Question Number 107656    Answers: 3   Comments: 0

Question Number 107650    Answers: 0   Comments: 0

Question Number 107647    Answers: 1   Comments: 0

≍BobHans≍ find the formula (d^3 /dx^3 )[g(f(x))]

$$\:\:\:\:\:\:\:\asymp\mathcal{B}\mathrm{ob}\mathcal{H}\mathrm{ans}\asymp \\ $$$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{formula}\:\frac{\mathrm{d}^{\mathrm{3}} }{\mathrm{dx}^{\mathrm{3}} }\left[\mathrm{g}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\right] \\ $$

Question Number 107654    Answers: 0   Comments: 0

Question Number 107639    Answers: 1   Comments: 0

Question Number 107638    Answers: 0   Comments: 0

Question Number 107634    Answers: 1   Comments: 0

Question Number 107628    Answers: 0   Comments: 0

Question Number 107624    Answers: 0   Comments: 0

please prove: A,B,C are angles of triangle. Σ_(cylic) ((sinA+sinB)/(cosc))≥8cos(A/2)cos(B/2)cos(C/2)

$$\:\:\:\:\:\:\:{please}\:{prove}: \\ $$$$\:\mathrm{A},\mathrm{B},{C}\:\:{are}\:{angles}\:{of} \\ $$$${triangle}. \\ $$$$\underset{{cylic}} {\sum}\frac{{sinA}+{sinB}}{{cosc}}\geqslant\mathrm{8}{cos}\frac{{A}}{\mathrm{2}}{cos}\frac{{B}}{\mathrm{2}}{cos}\frac{{C}}{\mathrm{2}}\:\:\:\:\:\:\: \\ $$$$ \\ $$

Question Number 107621    Answers: 0   Comments: 1

Question Number 107618    Answers: 1   Comments: 0

Question Number 107617    Answers: 1   Comments: 0

Question Number 107609    Answers: 2   Comments: 0

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