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Question Number 176334 Answers: 1 Comments: 0

Ψ = ∫_0 ^( 1) (( ln( 1+ x − x^( 2) ))/x)dx = ?

$$ \\ $$$$\:\:\:\:\:\Psi\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\:\mathrm{ln}\left(\:\mathrm{1}+\:{x}\:−\:{x}^{\:\mathrm{2}} \right)}{{x}}\mathrm{d}{x}\:=\:? \\ $$$$ \\ $$

Question Number 176332 Answers: 1 Comments: 1

f((x/(f(y))))= (x/y) solve for x and y

$${f}\left(\frac{{x}}{{f}\left({y}\right)}\right)=\:\frac{{x}}{{y}} \\ $$$${solve}\:{for}\:{x}\:{and}\:{y} \\ $$

Question Number 176327 Answers: 0 Comments: 0

p(x)=2x^2 +(√(4x^2 )) pq=4 and p+q=2 faind p^a_2 +q^a_1 =?

$${p}\left({x}\right)=\mathrm{2}{x}^{\mathrm{2}} +\sqrt{\mathrm{4}{x}^{\mathrm{2}} }\:\:\: \\ $$$${pq}=\mathrm{4}\:\:\:\:{and}\:\:{p}+{q}=\mathrm{2}\:\:\:{faind} \\ $$$${p}^{{a}_{\mathrm{2}} } +{q}^{{a}_{\mathrm{1}} } =? \\ $$

Question Number 176318 Answers: 1 Comments: 3

Question Number 176347 Answers: 1 Comments: 0

(2+(1/4)x^2 )^5 (2−(1/3)x^2 )^5 find coefficient x^2

$$\left(\mathrm{2}+\frac{\mathrm{1}}{\mathrm{4}}\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{5}} \left(\mathrm{2}−\frac{\mathrm{1}}{\mathrm{3}}\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{5}} \\ $$$$\mathrm{find}\:\mathrm{coefficient}\:\mathrm{x}^{\mathrm{2}} \\ $$

Question Number 176316 Answers: 1 Comments: 0

xy+xz=255 xz−yz=224. find x y and z

$$\:\:{xy}+{xz}=\mathrm{255} \\ $$$$\:{xz}−{yz}=\mathrm{224}. \\ $$$${find}\:{x}\:{y}\:{and}\:{z} \\ $$

Question Number 176310 Answers: 1 Comments: 0

a^(lna) =b^(lnb) a−b=1 solve for a and b

$${a}^{{lna}} ={b}^{{lnb}} \\ $$$${a}−{b}=\mathrm{1} \\ $$$${solve}\:{for}\:{a}\:{and}\:{b} \\ $$

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 ) =?

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

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