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AllQuestion and Answers: Page 205

Question Number 199608 Answers: 2 Comments: 0

1) 3<∣2x−1∣<7 find Σx ;x∈Z 2) 4≤∣x−2∣<5 find Σx ;x∈Z

$$\left.\mathrm{1}\right)\:\:\:\mathrm{3}<\mid\mathrm{2}{x}−\mathrm{1}\mid<\mathrm{7}\:\:{find}\:\Sigma{x}\:\:\:\:;{x}\in{Z} \\ $$$$\left.\mathrm{2}\right)\:\:\:\mathrm{4}\leqslant\mid{x}−\mathrm{2}\mid<\mathrm{5}\:\:{find}\:\Sigma{x}\:\:\:\:;{x}\in{Z} \\ $$$$ \\ $$

Question Number 195532 Answers: 0 Comments: 1

2^x −2^(−x) =5 find 4^x +4^(−x) =? so soon solve it i need i have rxame tomarrow

$$\mathrm{2}^{\boldsymbol{\mathrm{x}}} −\mathrm{2}^{−\boldsymbol{\mathrm{x}}} =\mathrm{5}\:\boldsymbol{\mathrm{find}}\:\mathrm{4}^{\boldsymbol{\mathrm{x}}} +\mathrm{4}^{−\boldsymbol{\mathrm{x}}} =? \\ $$$$\boldsymbol{\mathrm{so}}\:\boldsymbol{\mathrm{soon}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{it}}\:\boldsymbol{\mathrm{i}}\:\boldsymbol{\mathrm{need}}\:\boldsymbol{\mathrm{i}}\:\boldsymbol{\mathrm{have}}\:\boldsymbol{\mathrm{rxame}}\:\boldsymbol{\mathrm{tomarrow}} \\ $$

Question Number 195521 Answers: 2 Comments: 0

2^a =50 find 2^(2a−2) =? soon as soon solve this i need so

$$\mathrm{2}^{\boldsymbol{\mathrm{a}}} =\mathrm{50}\:\:\:\:\boldsymbol{\mathrm{find}}\:\mathrm{2}^{\mathrm{2}\boldsymbol{\mathrm{a}}−\mathrm{2}} =? \\ $$$$\boldsymbol{\mathrm{soon}}\:\boldsymbol{\mathrm{as}}\:\boldsymbol{\mathrm{soon}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{i}}\:\boldsymbol{\mathrm{need}}\:\boldsymbol{\mathrm{so}} \\ $$

Question Number 195520 Answers: 3 Comments: 0

find domine and range of function f(x,y) = (√((x+y^2 )/(x^2 +y^2 −4)))

$$\: \\ $$$$\:\:\:\:\:{find}\:{domine}\:{and}\:{range}\:{of}\:{function}\: \\ $$$$\:\:\:\:\:{f}\left({x},{y}\right)\:=\:\sqrt{\frac{{x}+{y}^{\mathrm{2}} }{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{4}}} \\ $$$$ \\ $$$$ \\ $$

Question Number 195518 Answers: 1 Comments: 0

y=((x^3 −27)/(x^2 +3x+9)) y=((sin^2 x)/(1+cosx)) y=((sinx+cosx)/( (√(1+cos2x))))

$${y}=\frac{{x}^{\mathrm{3}} −\mathrm{27}}{{x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{9}} \\ $$$${y}=\frac{{sin}^{\mathrm{2}} {x}}{\mathrm{1}+{cosx}} \\ $$$${y}=\frac{{sinx}+{cosx}}{\:\sqrt{\mathrm{1}+{cos}\mathrm{2}{x}}} \\ $$

Question Number 195517 Answers: 1 Comments: 0

Given ΔABC where BC= a, AC = b and AB = c . If ∠ A= 60° Find the value of (1+(b/c)+(a/c))(1+(c/b)+(a/b)).

$$\:\:\:\mathrm{Given}\:\Delta\mathrm{ABC}\:\mathrm{where}\:\mathrm{BC}=\:\mathrm{a},\: \\ $$$$\:\:\:\mathrm{AC}\:=\:\mathrm{b}\:\mathrm{and}\:\mathrm{AB}\:=\:\mathrm{c}\:.\:\mathrm{If}\:\angle\:\mathrm{A}=\:\mathrm{60}° \\ $$$$\:\:\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\:\:\left(\mathrm{1}+\frac{\mathrm{b}}{\mathrm{c}}+\frac{\mathrm{a}}{\mathrm{c}}\right)\left(\mathrm{1}+\frac{\mathrm{c}}{\mathrm{b}}+\frac{\mathrm{a}}{\mathrm{b}}\right). \\ $$$$ \\ $$

Question Number 195515 Answers: 3 Comments: 0

∫_1 ^5 x^2 (√(x−1))dx=?

$$\underset{\mathrm{1}} {\overset{\mathrm{5}} {\int}}{x}^{\mathrm{2}} \sqrt{{x}−\mathrm{1}}{dx}=? \\ $$

Question Number 195511 Answers: 1 Comments: 0

Question Number 195501 Answers: 3 Comments: 0

Question Number 195493 Answers: 0 Comments: 0

Question Number 195492 Answers: 0 Comments: 0

Question Number 195491 Answers: 1 Comments: 0

Question Number 195490 Answers: 0 Comments: 2

Question Number 195484 Answers: 1 Comments: 0

Question Number 195470 Answers: 2 Comments: 0

Question Number 195468 Answers: 1 Comments: 0

∫((x^5 +x^2 )/((x^6 +2x^3 )^7 ))dx

$$\int\frac{{x}^{\mathrm{5}} +{x}^{\mathrm{2}} }{\left({x}^{\mathrm{6}} +\mathrm{2}{x}^{\mathrm{3}} \right)^{\mathrm{7}} }{dx} \\ $$

Question Number 195446 Answers: 1 Comments: 0

Question Number 195443 Answers: 2 Comments: 0

10^(10) +10^(10^2 ) +10^(10^3 ) +...+10^(10^(10) ) ≡^7 ?

$$\mathrm{10}^{\mathrm{10}} +\mathrm{10}^{\mathrm{10}^{\mathrm{2}} } +\mathrm{10}^{\mathrm{10}^{\mathrm{3}} } +...+\mathrm{10}^{\mathrm{10}^{\mathrm{10}} } \:\:\overset{\mathrm{7}} {\equiv}\:\:? \\ $$

Question Number 195436 Answers: 1 Comments: 0

Σ_(n=0) ^∞ (((−a)^(−n) )/((n+2)^2 ))(𝛙(((n+4)/2))−𝛙(((n+3)/2)))=???

$$\underset{\boldsymbol{\mathrm{n}}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\left(−\boldsymbol{\mathrm{a}}\right)^{−\boldsymbol{\mathrm{n}}} }{\left(\boldsymbol{\mathrm{n}}+\mathrm{2}\right)^{\mathrm{2}} }\left(\boldsymbol{\psi}\left(\frac{\boldsymbol{\mathrm{n}}+\mathrm{4}}{\mathrm{2}}\right)−\boldsymbol{\psi}\left(\frac{{n}+\mathrm{3}}{\mathrm{2}}\right)\right)=??? \\ $$

Question Number 195435 Answers: 2 Comments: 0

(√(5+1(√(6+2(√(7+3(√(8+4(√(...)))))))))) = ?

$$\sqrt{\mathrm{5}+\mathrm{1}\sqrt{\mathrm{6}+\mathrm{2}\sqrt{\mathrm{7}+\mathrm{3}\sqrt{\mathrm{8}+\mathrm{4}\sqrt{...}}}}}\:\:=\:\:\:? \\ $$

Question Number 195433 Answers: 1 Comments: 0

Question Number 195428 Answers: 2 Comments: 0

3^a =7^b =441 ((ab)/(a+b))=?

$$\mathrm{3}^{{a}} =\mathrm{7}^{{b}} =\mathrm{441} \\ $$$$\frac{{ab}}{{a}+{b}}=? \\ $$

Question Number 195421 Answers: 4 Comments: 0

Calculate. ∫_0 ^( ∞) ((sin(z))/(z(z^2 +1)))dz method 1. using Laplace Transform. method 2. using Contour Integral. method 3. using Feymann′s parametirc trick HELP!!!!!!!

$$\mathrm{Calculate}.\:\:\int_{\mathrm{0}} ^{\:\infty} \:\:\frac{\mathrm{sin}\left({z}\right)}{{z}\left({z}^{\mathrm{2}} +\mathrm{1}\right)}\mathrm{d}{z} \\ $$$$\mathrm{method}\:\mathrm{1}.\:\mathrm{using}\:\mathrm{Laplace}\:\mathrm{Transform}. \\ $$$$\mathrm{method}\:\mathrm{2}.\:\mathrm{using}\:\mathrm{Contour}\:\mathrm{Integral}. \\ $$$$\mathrm{method}\:\mathrm{3}.\:\mathrm{using}\:\mathrm{Feymann}'\mathrm{s}\:\mathrm{parametirc}\:\mathrm{trick} \\ $$$$\mathrm{HELP}!!!!!!! \\ $$

Question Number 195419 Answers: 1 Comments: 0

x≠0. Σ_(i=1) ^n ix^(i−1) =?

$${x}\neq\mathrm{0}.\:\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}{ix}^{{i}−\mathrm{1}} =? \\ $$

Question Number 195416 Answers: 1 Comments: 0

Question Number 195415 Answers: 1 Comments: 0

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