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Question Number 48826    Answers: 1   Comments: 0

2(5/7) 380 8(3/7) × plz help me

$$\mathrm{2}\frac{\mathrm{5}}{\mathrm{7}}\:\:\:\:\:\:\:\:\:\:\:\mathrm{380} \\ $$$$\mathrm{8}\frac{\mathrm{3}}{\mathrm{7}}\:\:\:\:\:\:\:\:\:\:\:\:\:×\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{plz}\:{help}\:{me} \\ $$$$ \\ $$$$ \\ $$

Question Number 48823    Answers: 1   Comments: 3

Question Number 48815    Answers: 0   Comments: 7

who red marked ...better you come forwaed and say...it is better to show the way rather become cynic... better you solve your self and show the results rather pointing fingure to others...

$${who}\:{red}\:{marked}\:...{better}\:{you}\:{come}\:{forwaed} \\ $$$${and}\:{say}...{it}\:{is}\:{better}\:{to}\:{show}\:{the}\:{way}\:{rather}\:{become} \\ $$$${cynic}... \\ $$$${better}\:{you}\:{solve}\:{your}\:{self}\:{and}\:{show}\:{the}\:{results} \\ $$$${rather}\:{pointing}\:{fingure}\:{to}\:{others}... \\ $$$$ \\ $$

Question Number 48795    Answers: 1   Comments: 1

Find the sum: ^(30) C_0 .5^(100) −^(30) C_1 .5^(98) .3^3 +^(30) C_2 .5^(96) .3^6 − ...=?

$${Find}\:{the}\:{sum}: \\ $$$$\:^{\mathrm{30}} {C}_{\mathrm{0}} .\mathrm{5}^{\mathrm{100}} −^{\mathrm{30}} {C}_{\mathrm{1}} .\mathrm{5}^{\mathrm{98}} .\mathrm{3}^{\mathrm{3}} +^{\mathrm{30}} {C}_{\mathrm{2}} .\mathrm{5}^{\mathrm{96}} .\mathrm{3}^{\mathrm{6}} −\:...=? \\ $$

Question Number 48777    Answers: 0   Comments: 13

Question Number 48769    Answers: 1   Comments: 0

Question Number 48763    Answers: 2   Comments: 1

Question Number 48757    Answers: 2   Comments: 2

Question Number 48750    Answers: 1   Comments: 0

i need explanation for the division when 20751 is devided by 25 answer is 830.04..i need clarification why this red coloured zero (0) is coming when division is done by simple division...

$${i}\:{need}\:{explanation}\:{for}\:{the}\:{division}\:{when}\:\mathrm{20751} \\ $$$${is}\:{devided}\:{by}\:\mathrm{25} \\ $$$${answer}\:{is}\:\mathrm{830}.\mathrm{04}..{i}\:{need}\:{clarification}\:{why} \\ $$$${this}\:{red}\:{coloured}\:{zero}\:\left(\mathrm{0}\right)\:{is}\:{coming}\: \\ $$$${when}\:{division}\:{is}\:{done}\:{by}\:{simple}\:{division}... \\ $$

Question Number 48748    Answers: 0   Comments: 0

Question Number 48745    Answers: 1   Comments: 0

Question Number 48744    Answers: 2   Comments: 0

Question Number 48742    Answers: 1   Comments: 0

Question Number 48741    Answers: 1   Comments: 0

Question Number 48740    Answers: 2   Comments: 1

Question Number 48739    Answers: 1   Comments: 0

Find the maximum of f(x)=cos x + ((λ tan x−1)/(tan x−λ)) sin x in terms of λ with λ>1 and 0<x<tan^(−1) λ

$${Find}\:{the}\:{maximum}\:{of} \\ $$$${f}\left({x}\right)=\mathrm{cos}\:{x}\:+\:\frac{\lambda\:\mathrm{tan}\:{x}−\mathrm{1}}{\mathrm{tan}\:{x}−\lambda}\:\mathrm{sin}\:{x} \\ $$$${in}\:{terms}\:{of}\:\lambda \\ $$$${with}\:\lambda>\mathrm{1}\:{and}\:\mathrm{0}<{x}<\mathrm{tan}^{−\mathrm{1}} \lambda \\ $$

Question Number 48736    Answers: 1   Comments: 0

If P (A∪B)= (3/4), P(A^ )=(2/3), then P (A^ ∩B)=

$$\mathrm{If}\:\:{P}\:\left({A}\cup{B}\right)=\:\frac{\mathrm{3}}{\mathrm{4}},\:{P}\left(\bar {{A}}\right)=\frac{\mathrm{2}}{\mathrm{3}},\:\mathrm{then}\:{P}\:\left(\bar {{A}}\cap{B}\right)= \\ $$

Question Number 48735    Answers: 1   Comments: 0

The roots of the equation 2^(x+2) ∙ 3^((3x)/(x−1)) = 9 are given by

$$\mathrm{The}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\mathrm{2}^{{x}+\mathrm{2}} \centerdot\:\mathrm{3}^{\frac{\mathrm{3}{x}}{{x}−\mathrm{1}}} =\:\mathrm{9}\:\mathrm{are}\:\mathrm{given}\:\mathrm{by} \\ $$

Question Number 48729    Answers: 1   Comments: 0

Question Number 48725    Answers: 1   Comments: 3

∫ ∫ (√(x^2 + y^2 )) dx dy, (√(3y)) ≤ x ≤ (√(4 − y^2 )) , 0 ≤ y ≤ 2

$$\int\:\int\:\:\sqrt{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} }\:\:\:\mathrm{dx}\:\mathrm{dy},\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\sqrt{\mathrm{3y}}\:\:\:\leqslant\:\:\mathrm{x}\:\:\leqslant\:\:\sqrt{\mathrm{4}\:−\:\mathrm{y}^{\mathrm{2}} }\:\:,\:\:\:\:\:\:\:\:\:\mathrm{0}\:\leqslant\:\mathrm{y}\:\leqslant\:\mathrm{2} \\ $$

Question Number 48724    Answers: 1   Comments: 1

Hey, everyone! Could someone help in this question below? The vectors (1, 2, 5), (3, 2, 1) and (9, 2, −11) in R^3 generate the vector subspace to wich belongs the vector? a) (−20, −8, 12) b) (2, 10, 33) c) (9, 10, 18) d) (5, 2, −2) e) (31, 18, 0) Why are my posts never resolved?

$${Hey},\:{everyone}! \\ $$$${Could}\:\:{someone}\:{help}\:{in}\:{this}\:{question}\:{below}? \\ $$$${The}\:{vectors}\:\left(\mathrm{1},\:\mathrm{2},\:\mathrm{5}\right),\:\left(\mathrm{3},\:\mathrm{2},\:\mathrm{1}\right)\:{and}\:\left(\mathrm{9},\:\mathrm{2},\:−\mathrm{11}\right)\:{in}\:\mathbb{R}^{\mathrm{3}} \:{generate}\:{the}\:{vector}\:{subspace}\:{to}\:{wich}\:{belongs}\:{the}\:{vector}? \\ $$$$\left.{a}\right)\:\left(−\mathrm{20},\:−\mathrm{8},\:\mathrm{12}\right) \\ $$$$\left.{b}\right)\:\left(\mathrm{2},\:\mathrm{10},\:\mathrm{33}\right) \\ $$$$\left.{c}\right)\:\left(\mathrm{9},\:\mathrm{10},\:\mathrm{18}\right) \\ $$$$\left.{d}\right)\:\left(\mathrm{5},\:\mathrm{2},\:−\mathrm{2}\right) \\ $$$$\left.{e}\right)\:\left(\mathrm{31},\:\mathrm{18},\:\mathrm{0}\right) \\ $$$${Why}\:{are}\:{my}\:{posts}\:{never}\:{resolved}? \\ $$$$ \\ $$$$ \\ $$

Question Number 48720    Answers: 0   Comments: 2

calculate ∫_0 ^∞ ((x^2 −2cosx+1)/(x^4 +x^2 +1))dx

$${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{x}^{\mathrm{2}} \:−\mathrm{2}{cosx}+\mathrm{1}}{{x}^{\mathrm{4}} \:+{x}^{\mathrm{2}} \:+\mathrm{1}}{dx} \\ $$

Question Number 48719    Answers: 1   Comments: 1

find ∫ ((x−2)/(√(x^2 +4x−3)))dx

$${find}\:\:\int\:\:\:\:\frac{{x}−\mathrm{2}}{\sqrt{{x}^{\mathrm{2}} +\mathrm{4}{x}−\mathrm{3}}}{dx} \\ $$

Question Number 48718    Answers: 1   Comments: 2

let I_n =∫_0 ^1 (1−t^2 )^n dt 1) calculate I_n by recurrence 2)find the value of Σ_(k=0) ^n (((−1)^k )/(2k+1))C_n ^k

$${let}\:{I}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \left(\mathrm{1}−{t}^{\mathrm{2}} \right)^{{n}} {dt} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{I}_{{n}} \:{by}\:{recurrence} \\ $$$$\left.\mathrm{2}\right){find}\:{the}\:{value}\:{of}\:\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{k}} }{\mathrm{2}{k}+\mathrm{1}}{C}_{{n}} ^{{k}} \\ $$

Question Number 48717    Answers: 0   Comments: 1

let f(x)=∫_0 ^(π/4) ln(1+xtant)dt 1) find f(x) at a simple form 2)calculate ∫_0 ^(π/4) ln(1+2tan(t))dt

$${let}\:\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left(\mathrm{1}+{xtant}\right){dt} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{f}\left({x}\right)\:{at}\:{a}\:{simple}\:{form} \\ $$$$\left.\mathrm{2}\right){calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} {ln}\left(\mathrm{1}+\mathrm{2}{tan}\left({t}\right)\right){dt} \\ $$

Question Number 48715    Answers: 0   Comments: 4

1) find f(λ) =∫_0 ^1 (dx/(2+e^(−λx) )) with λ>0 2)calculate ∫_0 ^1 (x/((2+e^(−λx) )^2 ))dx 3) find the value of ∫_0 ^1 (dx/(2 +e^(−x(√3)) ))dx and ∫_0 ^1 (x/((2+e^(−x(√3)) )^2 ))dx

$$\left.\mathrm{1}\right)\:{find}\:\:{f}\left(\lambda\right)\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{dx}}{\mathrm{2}+{e}^{−\lambda{x}} }\:\:{with}\:\lambda>\mathrm{0} \\ $$$$\left.\mathrm{2}\right){calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\frac{{x}}{\left(\mathrm{2}+{e}^{−\lambda{x}} \right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\frac{{dx}}{\mathrm{2}\:+{e}^{−{x}\sqrt{\mathrm{3}}} }{dx}\:{and}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{x}}{\left(\mathrm{2}+{e}^{−{x}\sqrt{\mathrm{3}}} \right)^{\mathrm{2}} }{dx} \\ $$

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