Question and Answers Forum

AllQuestion and Answers: Page 698

Question Number 149156 Answers: 0 Comments: 0

if ∫(dx/( (((1+x^2 )^(1012) (2+x^2 )^(3012) ))^(1/(2012)) ))=(α/(2β))(1−f(x))^(β/α) then find α,β,f(x)

$${if}\:\int\frac{{dx}}{\:\sqrt[{\mathrm{2012}}]{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{1012}} \left(\mathrm{2}+{x}^{\mathrm{2}} \right)^{\mathrm{3012}} }}=\frac{\alpha}{\mathrm{2}\beta}\left(\mathrm{1}−{f}\left({x}\right)\right)^{\frac{\beta}{\alpha}} \\ $$$${then}\:{find}\:\alpha,\beta,{f}\left({x}\right) \\ $$

Question Number 149155 Answers: 0 Comments: 0

find the coefficient of x^(50) in the (1+x)^(1000) +2x(1+x)^(999) +3x^2 (1+x)^(998) +...∞

$${find}\:{the}\:{coefficient}\:{of}\:{x}^{\mathrm{50}} \:{in}\:{the}\: \\ $$$$\left(\mathrm{1}+{x}\right)^{\mathrm{1000}} +\mathrm{2}{x}\left(\mathrm{1}+{x}\right)^{\mathrm{999}} +\mathrm{3}{x}^{\mathrm{2}} \left(\mathrm{1}+{x}\right)^{\mathrm{998}} +...\infty\: \\ $$

Question Number 149151 Answers: 4 Comments: 0

lim_(n→∞) (1/( (√n))) (1 + (1/( (√2))) + (1/( (√3))) + ... + (1/( (√n)))) = ?

$$\underset{\boldsymbol{{n}}\rightarrow\infty} {{lim}}\:\frac{\mathrm{1}}{\:\sqrt{{n}}}\:\left(\mathrm{1}\:+\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\:+\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\:+\:...\:+\:\frac{\mathrm{1}}{\:\sqrt{{n}}}\right)\:=\:? \\ $$

Question Number 149150 Answers: 1 Comments: 0

∫ ln (cosx) dx = ?

$$\int\:{ln}\:\left({cosx}\right)\:{dx}\:=\:? \\ $$

Question Number 149142 Answers: 1 Comments: 0

if z + ∣z∣ = 1 + (√3) i find 𝛟 = ?

$${if}\:\:\:{z}\:+\:\mid{z}\mid\:=\:\mathrm{1}\:+\:\sqrt{\mathrm{3}}\:\boldsymbol{{i}} \\ $$$${find}\:\:\:\boldsymbol{\varphi}\:=\:? \\ $$

Question Number 149141 Answers: 0 Comments: 2

((cos^2 (70) - sin^2 (70))/(sin(100) + sin(20))) = ?

$$\frac{{cos}^{\mathrm{2}} \left(\mathrm{70}\right)\:-\:{sin}^{\mathrm{2}} \left(\mathrm{70}\right)}{{sin}\left(\mathrm{100}\right)\:+\:{sin}\left(\mathrm{20}\right)}\:=\:? \\ $$

Question Number 149140 Answers: 0 Comments: 2

{ ((∣x∣ + y - 1 = 0)),((x - y - 1 = 0)) :} ⇒ 2x - 3y = ?

$$\begin{cases}{\mid{x}\mid\:+\:{y}\:-\:\mathrm{1}\:=\:\mathrm{0}}\\{{x}\:-\:{y}\:-\:\mathrm{1}\:=\:\mathrm{0}}\end{cases}\:\:\:\Rightarrow\:\:\mathrm{2}{x}\:-\:\mathrm{3}{y}\:=\:? \\ $$

Question Number 149129 Answers: 2 Comments: 1

Question Number 149128 Answers: 0 Comments: 0

does anyone in this group have monbusho test questions?

$$ \\ $$does anyone in this group have monbusho test questions?

Question Number 149127 Answers: 0 Comments: 0

Question Number 149123 Answers: 2 Comments: 0

Question Number 149122 Answers: 0 Comments: 0

Question Number 149121 Answers: 2 Comments: 0

((2∙(cos85° + isin85°))/( (√2)∙(cos40° + isin40°))) = ?

$$\frac{\mathrm{2}\centerdot\left({cos}\mathrm{85}°\:+\:\boldsymbol{{i}}{sin}\mathrm{85}°\right)}{\:\sqrt{\mathrm{2}}\centerdot\left({cos}\mathrm{40}°\:+\:\boldsymbol{{i}}{sin}\mathrm{40}°\right)}\:=\:? \\ $$

Question Number 149120 Answers: 0 Comments: 0

Question Number 149113 Answers: 1 Comments: 0

∫_0 ^( π) ((cos^3 x)/(7−sin^2 x)) dx =?

$$\:\int_{\mathrm{0}} ^{\:\pi} \:\frac{\mathrm{cos}\:^{\mathrm{3}} \mathrm{x}}{\mathrm{7}−\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}}\:\mathrm{dx}\:=? \\ $$

Question Number 149112 Answers: 0 Comments: 2

ϕ = ∫ tan (x+(π/3))tan 3x tan (2x−(π/3)) dx =?

$$\:\varphi\:=\:\int\:\mathrm{tan}\:\left(\mathrm{x}+\frac{\pi}{\mathrm{3}}\right)\mathrm{tan}\:\mathrm{3x}\:\mathrm{tan}\:\left(\mathrm{2x}−\frac{\pi}{\mathrm{3}}\right)\:\mathrm{dx}\:=? \\ $$

Question Number 149107 Answers: 1 Comments: 0

Question Number 149106 Answers: 0 Comments: 0

Question Number 149116 Answers: 1 Comments: 0

If A is a 3×3 matrix where det(A)=−2 then what will be det(3A^2 A^(−1) )? knowing that A^(−1) is the inverse of A

$$\:\mathrm{If}\:\mathrm{A}\:\mathrm{is}\:\mathrm{a}\:\mathrm{3}×\mathrm{3}\:\mathrm{matrix}\:\mathrm{where}\:\mathrm{det}\left(\mathrm{A}\right)=−\mathrm{2} \\ $$$$\mathrm{then}\:\mathrm{what}\:\mathrm{will}\:\mathrm{be}\:\mathrm{det}\left(\mathrm{3A}^{\mathrm{2}} \mathrm{A}^{−\mathrm{1}} \right)? \\ $$$$\mathrm{knowing}\:\mathrm{that}\:\mathrm{A}^{−\mathrm{1}} \:\mathrm{is}\:\mathrm{the}\:\mathrm{inverse} \\ $$$$\mathrm{of}\:\mathrm{A}\: \\ $$

Question Number 149100 Answers: 1 Comments: 0

Question Number 149092 Answers: 0 Comments: 0

Question Number 149085 Answers: 0 Comments: 0

Question Number 149081 Answers: 1 Comments: 0

Question Number 149080 Answers: 0 Comments: 0

Question Number 149068 Answers: 1 Comments: 0

Question Number 149060 Answers: 1 Comments: 0

if 4z(√z) − 11(√z) = 5 find 2z − (√z) = ?

$${if}\:\:\:\mathrm{4}{z}\sqrt{{z}}\:−\:\mathrm{11}\sqrt{{z}}\:=\:\mathrm{5} \\ $$$${find}\:\:\:\mathrm{2}{z}\:−\:\sqrt{{z}}\:=\:? \\ $$

Pg 693 Pg 694 Pg 695 Pg 696 Pg 697 Pg 698 Pg 699 Pg 700 Pg 701 Pg 702

Contact: info@tinkutara.com