Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 614

Question Number 152110 Answers: 3 Comments: 0

∫a^(mx) b^(nx) dx

$\int a^{mx} b^{nx} dx$

Question Number 152106 Answers: 0 Comments: 0

∫ x^n cos(nx) dx

$\int x^{n} \cos (nx) dx$

Question Number 152094 Answers: 1 Comments: 0

Question Number 152091 Answers: 1 Comments: 0

Given tbat Arg(z+1)=(Π/6) and Arg(z−1)=((2Π)/3).Find z. please help me

$G i v e n t b a t A r g (z + 1) = \frac{Π}{6} a n d$ $A r g (z - 1) = \frac{2 Π}{3} . F i n d z .$ $p l e a s e h e l p m e$

Question Number 152088 Answers: 2 Comments: 0

∫_0 ^(Π/2) ∣sinx−cosx∣ please help me out

$\int_{0}^{\frac{Π}{2}} ∣ s i n x - c o s x ∣$ $p l e a s e h e l p m e o u t$

Question Number 152186 Answers: 1 Comments: 0

∫x^n cos(nx) dx

$\int x^{n} \cos (nx) dx$

Question Number 152082 Answers: 1 Comments: 0

Question Number 152101 Answers: 1 Comments: 0

Mr Bonsu an engineer walked round a cylindrical container 4m high once keeping a constant distance of 1m from the container. If he walked with a speed of 3kmh^(−1) for three minutes, calculate to the nearest whole number the: (i) radius of the circle (ii) volume of the container

$Mr Bonsu an engineer walked round$ $a cylindrical container 4 m high once$ $keeping a constant distance of 1 m from$ $the container . If he walked with a$ $speed of {3 kmh}^{- 1} for three minutes,$ $calculate to the nearest whole number$ $the :$ $(i) radius of the circle$ $(ii) volume of the container$

Question Number 152063 Answers: 2 Comments: 0

If x is a real number and y is equal to ((x^2 + 1)/(x^2 + x + 1)), show that ∣y − (4/3)∣ ≤ (2/3)

$If x is a real number and y is equal to \frac{x^{2} + 1}{x^{2} + x + 1},$ $show that ∣ y - \frac{4}{3} ∣ ⩽ \frac{2}{3}$

Question Number 152061 Answers: 1 Comments: 0

solve Ω= ∫_0 ^( ∞) (( sin^( 3) (x).cos^( 2) (x))/x^( 3) )dx=^? ((7π)/(32))...■

$s o l v e$ $Ω = \int_{0}^{\infty} \frac{{s i n}^{3} (x) . {c o s}^{2} (x)}{x^{3}} d x \overset{?}{=} \frac{7 π}{32} . . . ◼$

Question Number 152052 Answers: 1 Comments: 0

knowns x_2 =(2/x_1 ) , x_3 =(3/x_2 ) , x_4 =(4/x_3 ) , x_5 =(5/x_4 ) , ..., x_8 =(8/x_7 ). Find the value of x_1 ×x_2 ×x_3 ×...×x_8 .

$knowns x_{2} = \frac{2}{x_{1}}, x_{3} = \frac{3}{x_{2}}, x_{4} = \frac{4}{x_{3}}$ $, x_{5} = \frac{5}{x_{4}}, . . ., x_{8} = \frac{8}{x_{7}} . Find the$ $value of x_{1} \times x_{2} \times x_{3} \times . . . \times x_{8} .$

Question Number 152049 Answers: 0 Comments: 0

If a;b≥1 then prove that: (a+1+((a+1)/a^2 ))^a ∙ (b+1+((b+1)/b^2 ))^b ≥ 2^(2(1+(√(ab))))

$If a; b ⩾ 1 then prove that :$ ${(a + 1 + \frac{a + 1}{a^{2}})}^{a} \cdot {(b + 1 + \frac{b + 1}{b^{2}})}^{b} ⩾ 2^{2 (1 + \sqrt{ab})}$

Question Number 152047 Answers: 0 Comments: 0

∫_0 ^( ∞) ((x^2 +1)/( (√x^x ))) dx

$\int_{0}^{\infty} \frac{x^{2} + 1}{\sqrt{x^{x}}} d x$

Question Number 152019 Answers: 4 Comments: 0

Ω =∫_( 0) ^( 1) Li_2 (x) log(1+x) dx = ? Li_2 (x)−polylogaritm function

$Ω = \underset{0}{\int^{1}} {L i}_{2} (x) l o g (1 + x) d x = ?$ ${L i}_{2} (x) - p o l y l o g a r i t m f u n c t i o n$

Question Number 152105 Answers: 1 Comments: 0

∫_0 ^( ∞) (1/(⌊x+1⌋)) − (1/(x+1)) dx

$\int_{0}^{\infty} \frac{1}{⌊ x + 1 ⌋} - \frac{1}{x + 1} d x$

Question Number 152010 Answers: 1 Comments: 1

Question Number 152001 Answers: 1 Comments: 0

Four members of a school′s first eleven criket team are also in the first fourteen rugby team. How many members play for at least one of the two teams

$Four members of a {school}^{'} s first eleven$ $criket team are also in the first fourteen$ $rugby team . How many members play$ $for at least one of the two teams$

Question Number 152000 Answers: 0 Comments: 3

• Histoire de code secret Vous e^ tes un espion et vous souhaitez assister a^ une re^ union secre^ te dans une une ambassade ou le garde demande un mot de passe... Vous vous cachez et tentez d′e^ couter les personnes qui se pre^ sentent. Au premier homme, le garde dit Cinq, l′homme re^ pond Quatre et le garde le laisse entrer. Au deuxie^ me, le garde lui dit Six, il re^ pond Trois et passe. Un dernier se pre^ sente. Le garde lui dit Quatre, il re^ pond Six et entre. Vous vous pre^ sentez alors et le garde vous dit Sept. Mais que re^ pondez−vous ?

$∙ H i s t o i r e d e c o d e s e c r e t$ $Vous \hat{e t e s} un espion et vous souhaitez$ $assister \overset{`}{a} une r \overset{´}{e u n i o n} secr \overset{`}{e t e} dans une$ $une ambassade ou le garde demande$ $un mot de passe . . .$ $Vous vous cachez et tentez d^{'} \overset{´}{e c o u t e r}$ $les personnes qui se pr \overset{´}{e s e n t e n t} .$ $Au premier homme, le garde dit Cinq,$ $l^{'} homme r \overset{´}{e p o n d} Quatre et le garde le$ $laisse entrer .$ $Au deuxi \overset{`}{e m e}, le garde lui dit Six, il$ $r \overset{´}{e p o n d} Trois et passe .$ $Un dernier se pr \overset{´}{e s e n t e} . Le garde lui$ $dit Quatre, il r \overset{´}{e p o n d} Six et entre .$ $Vous vous pr \overset{´}{e s e n t e z} alors et le garde$ $vous dit Sept . Mais que$ $r \overset{´}{e p o n d e z} - vous ?$