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Question Number 48155 Answers: 1 Comments: 0

((√2))^x =((√3))^y x≠0 y ≠ 0 find x,y

${(\sqrt{2})}^{x} = {(\sqrt{3})}^{y}$ $x \neq 0$ $y \neq 0$ $find x, y$

Question Number 48143 Answers: 1 Comments: 1

The locus of P(x,y) such that (√(x^2 +y^2 +8y+16))−(√(x^2 +y^2 −6x+9))=5 is?

$T h e l o c u s o f P (x, y) s u c h t h a t$ $\sqrt{x^{2} + y^{2} + 8 y + 16} - \sqrt{x^{2} + y^{2} - 6 x + 9} = 5 i s ?$

Question Number 48129 Answers: 1 Comments: 0

how we can show _3_(√2) on axis?

$how we can show_{3_{\sqrt{2}}} on axis ?$

Question Number 48127 Answers: 1 Comments: 0

Question Number 48121 Answers: 0 Comments: 3

can the directrix of a parabola be in the form y=mx+b ? or is there an inclined parabola with directrix and axis of symmetry in the form of y=mx+b ??

$c a n t h e d i r e c t r i x o f a p a r a b o l a b e i n t h e f o r m y = m x + b ?$ $o r i s t h e r e a n i n c l i n e d p a r a b o l a w i t h d i r e c t r i x a n d a x i s$ $o f s y m m e t r y i n t h e f o r m o f y = m x + b ? ?$

Question Number 48118 Answers: 0 Comments: 0

(√(a^2 x^2 −y^2 ))+(√(b^2 x^2 −y^2 )) = (a+b)(√(2x^2 +(x^4 /(x^4 −y^2 )))) Find x such that y is minimum. Assume x, y > 0 .

$\sqrt{a^{2} x^{2} - y^{2}} + \sqrt{b^{2} x^{2} - y^{2}}$ $= (a + b) \sqrt{2 x^{2} + \frac{x^{4}}{x^{4} - y^{2}}}$ $F i n d x s u c h t h a t y i s m i n i m u m .$ $A s s u m e x, y > 0 .$

Question Number 48117 Answers: 0 Comments: 0

thanks sir

$t h a n k s s i r$

Question Number 48113 Answers: 2 Comments: 0

Question Number 48111 Answers: 1 Comments: 0

(−46−×)/(−2)=60 hi sir plx help me

$(- 46 - \times) / (- 2) = 60$ $h i s i r p l x h e l p m e$

Question Number 48105 Answers: 1 Comments: 2

∫_(−1) ^1 ((√(1+x+x^2 ))− (√(1−x−x^2 )) )dx =

$\underset{- 1}{\int^{1}} (\sqrt{1 + x + x^{2}} - \sqrt{1 - x - x^{2}}) d x =$

Question Number 48104 Answers: 1 Comments: 0

solve this ∫(2 sinx+cosx)/(2+3sinx+sin^(2x) ) dx

$solve this$ $\int (2 sinx + cosx) / (2 + 3 sinx + \sin^{2 x}) dx$

Question Number 48103 Answers: 0 Comments: 0

6

Question Number 48091 Answers: 1 Comments: 2

Question Number 48090 Answers: 1 Comments: 0

Question Number 48078 Answers: 1 Comments: 0

Question Number 48075 Answers: 1 Comments: 1

solve (∣x^2 −1∣−(1/2))x+((√6)/(18))=0

$solve (∣ x^{2} - 1 ∣ - \frac{1}{2}) x + \frac{\sqrt{6}}{18} = 0$

Question Number 48068 Answers: 1 Comments: 1

let u_n =∫_0 ^∞ (dt/(1+t^n )) find nature of Σ u_n and Σ (u_n /n^2 ) and Σ (u_n /n^3 )

$l e t u_{n} = \int_{0}^{\infty} \frac{d t}{1 + t^{n}}$ $f i n d n a t u r e o f Σ u_{n} a n d Σ \frac{u_{n}}{n^{2}} a n d Σ \frac{u_{n}}{n^{3}}$

Question Number 48067 Answers: 0 Comments: 1

let y>0 give ∫_0 ^∞ (x^y /(e^x −1))dx at form of series.

$l e t y > 0 g i v e \int_{0}^{\infty} \frac{x^{y}}{e^{x} - 1} d x a t f o r m o f s e r i e s .$

Question Number 48066 Answers: 1 Comments: 4

(√(1/2)).(√((1/2)+(1/2)(√(1/2)))).(√((1/2)+(1/2)(√((1/2)+(1/2)(√(1/2))))))......∞=?

$\sqrt{\frac{1}{2}} . \sqrt{\frac{1}{2} + \frac{1}{2} \sqrt{\frac{1}{2}}} . \sqrt{\frac{1}{2} + \frac{1}{2} \sqrt{\frac{1}{2} + \frac{1}{2} \sqrt{\frac{1}{2}}}} . . . . . . \infty = ?$

Question Number 48065 Answers: 0 Comments: 1

let f : ]0,1[ contnue integrable u_n =(−1)^n ∫_0 ^1 x^n f(x)dx prove that Σ u_n cnverge and find its sum

$l e t f :] 0, 1 [c o n t n u e i n t e g r a b l e u_{n} = {(- 1)}^{n} \int_{0}^{1} x^{n} f (x) d x$ $p r o v e t h a t Σ u_{n} c n v e r g e a n d f i n d i t s s u m$

Question Number 48064 Answers: 1 Comments: 1

calculate A =∫_0 ^1 (1+x^2 )(√(1−x^2 ))dx −∫_0 ^1 (1−x^2 )(√(1+x^2 ))dx

$c a l c u l a t e A = \int_{0}^{1} (1 + x^{2}) \sqrt{1 - x^{2}} d x - \int_{0}^{1} (1 - x^{2}) \sqrt{1 + x^{2}} d x$

Question Number 48063 Answers: 0 Comments: 0

let W(x) =∫_(−∞) ^(+∞) ((arctan(xt^2 ))/(2+t^2 ))dt 1) find a explicit form of f(x) 2) find the value of ∫_(−∞) ^(+∞) (t^2 /((2+t^2 )(1+x^2 t^4 )))dt .

$l e t W (x) = \int_{- \infty}^{+ \infty} \frac{a r c t a n ({x t}^{2})}{2 + t^{2}} d t$ $1) f i n d a e x p l i c i t f o r m o f f (x)$ $2) f i n d t h e v a l u e o f \int_{- \infty}^{+ \infty} \frac{t^{2}}{(2 + t^{2}) (1 + x^{2} t^{4})} d t .$

Question Number 48062 Answers: 0 Comments: 0

calculate ∫_(−∞) ^(+∞) (((x^2 −3)sin(2x^2 ))/((x^2 +1)^3 ))dx

$c a l c u l a t e \int_{- \infty}^{+ \infty} \frac{(x^{2} - 3) s i n (2 x^{2})}{{(x^{2} + 1)}^{3}} d x$

Question Number 48057 Answers: 2 Comments: 1

Question Number 48052 Answers: 2 Comments: 1

Question Number 48050 Answers: 1 Comments: 1

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