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Question Number 48830 Answers: 1 Comments: 0

10((47)/(60))−(8(1/5)−5(2/3))×(5/8) sir could you help me

$$\mathrm{10}\frac{\mathrm{47}}{\mathrm{60}}−\left(\mathrm{8}\frac{\mathrm{1}}{\mathrm{5}}−\mathrm{5}\frac{\mathrm{2}}{\mathrm{3}}\right)×\frac{\mathrm{5}}{\mathrm{8}}\:\:\:\:{sir}\:{could}\:{you}\:{help}\:{me} \\ $$$$ \\ $$

Question Number 48829 Answers: 0 Comments: 3

lim_(x→0) ((∫1^x [t^2 (e^(1/t) −1)−t]dt)/(x^2 ln (1+1/x)))

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\int\mathrm{1}^{{x}} \left[{t}^{\mathrm{2}} \left({e}^{\mathrm{1}/{t}} −\mathrm{1}\right)−{t}\right]{dt}}{{x}^{\mathrm{2}} \mathrm{ln}\:\left(\mathrm{1}+\mathrm{1}/{x}\right)} \\ $$

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

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

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