Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 1591

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

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

Question Number 48711 Answers: 1 Comments: 1

Question Number 48703 Answers: 1 Comments: 0

Question Number 48687 Answers: 0 Comments: 0

f(x)=sin (x) f(x)+f′((1/x))=(1/2)(√2) find x?

$${f}\left({x}\right)=\mathrm{sin}\:\left({x}\right) \\ $$$${f}\left({x}\right)+{f}'\left(\frac{\mathrm{1}}{{x}}\right)=\frac{\mathrm{1}}{\mathrm{2}}\sqrt{\mathrm{2}} \\ $$$$\mathrm{find}\:{x}? \\ $$

Question Number 48705 Answers: 3 Comments: 2

Q.1→ Coefficient of a^8 b^4 c^9 d^9 in expansion of (abc+abd+acd+bcd)^(10) =? Q.2→ Coefficient of (1/x) in expansion of (1+x)^n (1+(1/x))^n =? Q.3→ If x^m occurs in expansion of (x+(1/x^2 ))^(2n) , then its coefficient=?

$${Q}.\mathrm{1}\rightarrow \\ $$$${Coefficient}\:{of}\:{a}^{\mathrm{8}} {b}^{\mathrm{4}} {c}^{\mathrm{9}} {d}^{\mathrm{9}} \:{in}\:{expansion} \\ $$$${of}\:\left({abc}+{abd}+{acd}+{bcd}\right)^{\mathrm{10}} \:=? \\ $$$$ \\ $$$${Q}.\mathrm{2}\rightarrow \\ $$$${Coefficient}\:{of}\:\frac{\mathrm{1}}{{x}}\:{in}\:{expansion}\:{of} \\ $$$$\left(\mathrm{1}+{x}\right)^{{n}} \left(\mathrm{1}+\frac{\mathrm{1}}{{x}}\right)^{{n}} =? \\ $$$$ \\ $$$${Q}.\mathrm{3}\rightarrow \\ $$$${If}\:{x}^{{m}} \:{occurs}\:{in}\:{expansion}\:{of}\: \\ $$$$\left({x}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)^{\mathrm{2}{n}} ,\:{then}\:{its}\:{coefficient}=? \\ $$

Pg 1586 Pg 1587 Pg 1588 Pg 1589 Pg 1590 Pg 1591 Pg 1592 Pg 1593 Pg 1594 Pg 1595

Contact: info@tinkutara.com