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Question Number 176374 Answers: 1 Comments: 0

Show : (∂X/∂Y)∣_Z (∂Y/∂Z)∣_X (∂X/∂Z)∣_Y =−1

$${Show}\:: \\ $$$$\frac{\partial{X}}{\partial{Y}}\mid_{{Z}} \frac{\partial{Y}}{\partial{Z}}\mid_{{X}} \frac{\partial{X}}{\partial{Z}}\mid_{{Y}} =−\mathrm{1} \\ $$

Question Number 176371 Answers: 0 Comments: 1

Question Number 176367 Answers: 1 Comments: 1

Question Number 176360 Answers: 0 Comments: 0

Question Number 176365 Answers: 1 Comments: 0

In △ABC the following relationship holds: Σ_(cyc) (a^2 /(b^2 + c^2 )) + 4 Π_(cyc) cos A ≤ 2

$$\mathrm{In}\:\:\bigtriangleup\mathrm{ABC}\:\:\mathrm{the}\:\mathrm{following}\:\mathrm{relationship}\:\mathrm{holds}: \\ $$$$\underset{\boldsymbol{\mathrm{cyc}}} {\sum}\:\frac{\mathrm{a}^{\mathrm{2}} }{\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} }\:+\:\mathrm{4}\:\underset{\boldsymbol{\mathrm{cyc}}} {\prod}\:\mathrm{cos}\:\mathrm{A}\:\leqslant\:\mathrm{2} \\ $$

Question Number 176366 Answers: 1 Comments: 0

donner la forme trigonometrique de(1−i(√)3)(1+i)(cosθ−isinθ)

$${donner}\:{la}\:{forme}\:{trigonometrique}\:{de}\left(\mathrm{1}−{i}\sqrt{}\mathrm{3}\right)\left(\mathrm{1}+{i}\right)\left({cos}\theta−{isin}\theta\right) \\ $$

Question Number 176354 Answers: 2 Comments: 0

Question Number 176336 Answers: 2 Comments: 0

in AB_ ^Δ C : ((b−c)/(h_a )) =k , and A^ is given. B^ , C^ =?

$$ \\ $$$$\:{in}\:{A}\overset{\Delta} {{B}}_{\:} {C}\::\:\:\frac{{b}−{c}}{{h}_{{a}} \:}\:={k}\:, \\ $$$$\:\:\:\:\:\:\:\:\:\:{and}\:\:\hat {{A}}\:{is}\:{given}. \\ $$$$\:\:\:\:\:\:\:\:\hat {{B}}\:,\:\hat {{C}}\:=?\:\: \\ $$

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)

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

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