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Question Number 176303 Answers: 1 Comments: 0

Question Number 176300 Answers: 1 Comments: 4

coeffisien x^(2 ) from (2+(1/4)x^2 )^5 (1−4x)^5

$$\:\mathrm{coeffisien}\:\mathrm{x}\:^{\mathrm{2}\:} \:\mathrm{from}\:\left(\mathrm{2}+\frac{\mathrm{1}}{\mathrm{4}}\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{5}} \left(\mathrm{1}−\mathrm{4x}\right)^{\mathrm{5}} \\ $$

Question Number 176293 Answers: 3 Comments: 0

find n^(th) formolla of <0,4,9,16,25>

$${find}\:{n}^{{th}} \:{formolla}\:{of}\:<\mathrm{0},\mathrm{4},\mathrm{9},\mathrm{16},\mathrm{25}> \\ $$

Question Number 176292 Answers: 2 Comments: 0

Question Number 176289 Answers: 0 Comments: 1

∫ ((log (cosx + (√(cos2x))) )/(1−cos^2 x ))dx

$$\:\:\int\:\:\frac{\mathrm{log}\:\left(\mathrm{cos}{x}\:+\:\sqrt{\mathrm{cos2}{x}}\right)\:}{\mathrm{1}−\mathrm{cos}^{\mathrm{2}} {x}\:}{dx} \\ $$

Question Number 176288 Answers: 0 Comments: 0

∫cos2xlog(1+tanx)dx

$$\:\:\int\mathrm{cos2}{x}\mathrm{log}\left(\mathrm{1}+\mathrm{tan}{x}\right){dx}\:\:\: \\ $$

Question Number 176767 Answers: 0 Comments: 0

Question Number 176766 Answers: 0 Comments: 0

Question Number 176765 Answers: 0 Comments: 1

Question Number 176764 Answers: 0 Comments: 0

Question Number 176773 Answers: 0 Comments: 2

Let a, b, c >0. If ((a−b)/b)>7, ((b+c)/c)<8, Find min(a+b+c)

$$\mathrm{Let}\:{a},\:{b},\:{c}\:>\mathrm{0}.\:\mathrm{If}\: \\ $$$$\frac{{a}−{b}}{{b}}>\mathrm{7},\:\frac{{b}+{c}}{{c}}<\mathrm{8},\: \\ $$$$\mathrm{Find}\:\mathrm{min}\left({a}+{b}+{c}\right)\: \\ $$

Question Number 176281 Answers: 0 Comments: 3

Question Number 176279 Answers: 1 Comments: 0

Proof that : ∄n∈Z, n^2 +1≡0(mod 4)

$$\mathrm{Proof}\:\mathrm{that}\:: \\ $$$$\nexists{n}\in\mathbb{Z},\:{n}^{\mathrm{2}} +\mathrm{1}\equiv\mathrm{0}\left(\mathrm{mod}\:\mathrm{4}\right) \\ $$

Question Number 176278 Answers: 0 Comments: 0

Σ_(n=1) ^∞ (H_(4n) /(2^(4n) n))=???

$$\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\boldsymbol{{H}}_{\mathrm{4}\boldsymbol{{n}}} }{\mathrm{2}^{\mathrm{4}\boldsymbol{{n}}} \boldsymbol{{n}}}=??? \\ $$

Question Number 176276 Answers: 2 Comments: 0

coeff of x^2 from [6+8x−(3/2)x^2 ]^5

$$\mathrm{coeff}\:\mathrm{of}\:\mathrm{x}^{\mathrm{2}} \:\mathrm{from}\: \\ $$$$\:\:\left[\mathrm{6}+\mathrm{8x}−\frac{\mathrm{3}}{\mathrm{2}}\mathrm{x}^{\mathrm{2}} \:\right]^{\mathrm{5}} \: \\ $$

Question Number 176274 Answers: 1 Comments: 0

Question Number 176270 Answers: 0 Comments: 3

kojo can do a piece of work in 5hours Edina can do the same work in 4hours. how long will it take the two of them to do the same work together if they work at the same rate

$$\:\mathrm{kojo}\:\mathrm{can}\:\mathrm{do}\:\mathrm{a}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{work}\:\mathrm{in}\:\mathrm{5hours} \\ $$$$\:\mathrm{Edina}\:\mathrm{can}\:\mathrm{do}\:\mathrm{the}\:\mathrm{same}\:\mathrm{work}\:\mathrm{in}\: \\ $$$$\:\mathrm{4hours}.\:\mathrm{how}\:\mathrm{long}\:\mathrm{will}\:\mathrm{it}\:\mathrm{take}\:\mathrm{the}\:\mathrm{two} \\ $$$$\:\mathrm{of}\:\mathrm{them}\:\mathrm{to}\:\mathrm{do}\:\mathrm{the}\:\mathrm{same}\:\mathrm{work}\:\mathrm{together} \\ $$$$\mathrm{if}\:\mathrm{they}\:\mathrm{work}\:\mathrm{at}\:\mathrm{the}\:\mathrm{same}\:\mathrm{rate} \\ $$$$ \\ $$

Question Number 176776 Answers: 2 Comments: 0

Question Number 176809 Answers: 1 Comments: 0

{ ((x=cos^3 ∅)),((y=sin^3 ∅)) :} ⇒(d^2 y/dx^2 ) =?

$$\:\:\begin{cases}{\mathrm{x}=\mathrm{cos}\:^{\mathrm{3}} \emptyset}\\{\mathrm{y}=\mathrm{sin}\:^{\mathrm{3}} \emptyset}\end{cases}\:\Rightarrow\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }\:=? \\ $$

Question Number 176808 Answers: 1 Comments: 0

lim_(x→∞) ((sin x)/(1+cos^2 x))=?

$$\:\:\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{1}+\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}=? \\ $$

Question Number 176774 Answers: 1 Comments: 0

How many distinct y exist satisfying ∣x^2 −8x+18∣+∣y−3∣=5

$$\mathrm{How}\:\mathrm{many}\:\mathrm{distinct}\:{y}\:\mathrm{exist}\:\mathrm{satisfying} \\ $$$$\mid{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{18}\mid+\mid{y}−\mathrm{3}\mid=\mathrm{5} \\ $$

Question Number 176216 Answers: 0 Comments: 0

Question Number 176215 Answers: 2 Comments: 0

A certain amount of money is distributed among A, B and C in the ratio of 2:5:3 and another amount of money among B, D and E is also distributed in the same ratio. If the amount distributed among A, B and C is ⅖ of the amount distributed among B, D and E, what is the ratio in which the amount is distributed among A, C and E?

$$ \\ $$A certain amount of money is distributed among A, B and C in the ratio of 2:5:3 and another amount of money among B, D and E is also distributed in the same ratio. If the amount distributed among A, B and C is ⅖ of the amount distributed among B, D and E, what is the ratio in which the amount is distributed among A, C and E?

Question Number 176213 Answers: 1 Comments: 0

lim_(x→0) ((arctan x)/(arcsin x−x)) =?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{arctan}\:\mathrm{x}}{\mathrm{arcsin}\:\mathrm{x}−\mathrm{x}}\:=? \\ $$

Question Number 176212 Answers: 0 Comments: 2

A solid rigth triangular prism of length 12cm and a cross section which is an equilateral triangle of 6cm. Find the total surface area.

$$\:\:\mathrm{A}\:\mathrm{solid}\:\mathrm{rigth}\:\mathrm{triangular}\:\mathrm{prism}\:\mathrm{of}\: \\ $$$$\:\:\mathrm{length}\:\mathrm{12cm}\:\mathrm{and}\:\mathrm{a}\:\mathrm{cross}\:\mathrm{section}\: \\ $$$$\:\:\mathrm{which}\:\mathrm{is}\:\mathrm{an}\:\mathrm{equilateral}\:\mathrm{triangle}\:\mathrm{of} \\ $$$$\:\:\mathrm{6cm}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{total}\:\mathrm{surface}\:\mathrm{area}. \\ $$

Question Number 176211 Answers: 1 Comments: 0

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