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Question Number 62806 Answers: 0 Comments: 1

find the value of ∫_(−∞) ^(+∞) ((x+1)/((x^4 +x^2 +1)^3 ))dx

$f i n d t h e v a l u e o f \int_{- \infty}^{+ \infty} \frac{x + 1}{{(x^{4} + x^{2} + 1)}^{3}} d x$

Question Number 62805 Answers: 0 Comments: 1

calculate ∫_0 ^(+∞) ((3x^2 −2)/((x^2 +1)( x^2 −2i)^2 )) dx

$c a l c u l a t e \int_{0}^{+ \infty} \frac{3 x^{2} - 2}{(x^{2} + 1) {(x^{2} - 2 i)}^{2}} d x$

Question Number 63060 Answers: 1 Comments: 0

Question Number 62801 Answers: 0 Comments: 0

Question Number 62800 Answers: 0 Comments: 2

Question Number 62798 Answers: 0 Comments: 0

Calculate tg(20°)+4sin(20°)+1

$Calculate$ $tg (20 °) + 4 \sin (20 °) + 1$

Question Number 62790 Answers: 1 Comments: 1

Question Number 62782 Answers: 0 Comments: 0

Question Number 62781 Answers: 0 Comments: 0

∫ sec(2x) e^(2x) dx

$\int \sec (2 x) e^{2 x} dx$

Question Number 62777 Answers: 0 Comments: 1

5^(3x−1) .4^(2x−2) =625

$5^{3 x - 1} . 4^{2 x - 2} = 625$

Question Number 62763 Answers: 0 Comments: 0

Question Number 62762 Answers: 0 Comments: 0

Question Number 62761 Answers: 0 Comments: 3

if cosθ=((cosA.cosB)/(1−cosA.cosB)) prove that Tan(θ/2)=Tan(A/2).Cot(B/2)

$if \cos θ = \frac{cosA . cosB}{1 - cosA . cosB} prove that Tan \frac{θ}{2} = Tan \frac{A}{2} . Cot \frac{B}{2}$

Question Number 62759 Answers: 1 Comments: 0

y = x^y (dy/dx) = ?

$y = x^{y}$ $\frac{d y}{d x} = ?$

Question Number 62754 Answers: 1 Comments: 2

1)∫(dx/(1−sin(x))) R solve in(2) (4−x)^4 +x^4 =82

$1) \int \frac{d x}{1 - s i n (x)}$ $R s o l v e i n (2)$ ${(4 - x)}^{4} + x^{4} = 82$

Question Number 62753 Answers: 1 Comments: 0

The normal at the point P(4cos θ,3sin θ) on the ellipse (x^2 /(16)) +(y^2 /9)=1 meets the x−axis and y−axis at A and B respectively show that locus of the mid−point of AB is an ellipse with the same eccentricity as given ellipse.

$T h e n o r m a l a t t h e p o i n t$ $P (4 \cos θ, 3 \sin θ) o n t h e$ $e l l i p s e \frac{x^{2}}{16} + \frac{y^{2}}{9} = 1 m e e t s$ $t h e x - a x i s a n d y - a x i s$ $a t A a n d B r e s p e c t i v e l y$ $s h o w t h a t l o c u s o f t h e$ $m i d - p o i n t o f A B i s a n$ $e l l i p s e w i t h t h e s a m e$ $e c c e n t r i c i t y a s g i v e n$ $e l l i p s e .$

Question Number 62747 Answers: 1 Comments: 0

Are f, g: R→R defined by f(x)= { ((0, x ∈ R\Q)),((x, x ∈Q)) :} g(x)= { ((1, x=0)),((0, x≠0)) :} show that lim_(x→0) f(x)=0 and lim_(y→0) g(y)=0 however lim_(x→0) g(f(x)) does not exist.

$A r e f, g : R \to R d e f i n e d b y$ $f (x) = {\begin{cases} 0, x \in R ∖ Q \\ x, x \in Q \end{cases}$ $g (x) = {\begin{cases} 1, x = 0 \\ 0, x \neq 0 \end{cases}$ $s h o w t h a t \lim_{x \to 0} f (x) = 0 a n d \lim_{y \to 0} g (y) = 0$ $h o w e v e r \lim_{x \to 0} g (f (x)) d o e s n o t e x i s t .$

Question Number 62735 Answers: 1 Comments: 1

Question Number 62732 Answers: 1 Comments: 0

calculate ∫_0 ^(2π) ((cos(2x))/(2cosx −sin(x)))dx

$c a l c u l a t e \int_{0}^{2 π} \frac{c o s (2 x)}{2 c o s x - s i n (x)} d x$

Question Number 62731 Answers: 0 Comments: 1

find ∫ (√((x−1)/(x^2 +3)))dx

$f i n d \int \sqrt{\frac{x - 1}{x^{2} + 3}} d x$

Question Number 62773 Answers: 2 Comments: 1

Question Number 62712 Answers: 0 Comments: 0

Question Number 62708 Answers: 0 Comments: 2

Question Number 62698 Answers: 1 Comments: 0

Lines 5x+12y−10=0 and 5x−12y−40=0 touch circle C_1 of diameter 6. If the center of C_1 lies in the Ist quadrant, find the equation of circle C_2 which is concentric with C_(1 ) and cuts intercept of length 8 on these lines.

$L i n e s 5 x + 12 y - 10 = 0 a n d 5 x - 12 y - 40 = 0$ $t o u c h c i r c l e C_{1} o f d i a m e t e r 6 . I f t h e$ $c e n t e r o f C_{1} l i e s i n t h e I s t q u a d r a n t,$ $f i n d t h e e q u a t i o n o f c i r c l e C_{2} w h i c h i s$ $c o n c e n t r i c w i t h C_{1} a n d c u t s i n t e r c e p t$ $o f l e n g t h 8 o n t h e s e l i n e s .$

Question Number 62750 Answers: 0 Comments: 1

An element X has RAM of 88g.when a current of 0.5A was passed through fused chloride of X for 32minutes and 10sec. 0.44g of X was deposited at the cathode (a)number of faraday? (b)write formular of X ions (c)write the formular of OH

$A n e l e m e n t X h a s R A M$ $o f 88 g . w h e n a c u r r e n t$ $o f 0.5 A w a s p a s s e d t h r o u g h$ $f u s e d c h l o r i d e o f X f o r$ $32 m i n u t e s a n d 10 s e c .$ $0.44 g o f X w a s d e p o s i t e d$ $a t t h e c a t h o d e$ $(a) n u m b e r o f f a r a d a y ?$ $(b) w r i t e f o r m u l a r o f$ $X i o n s$ $(c) w r i t e t h e f o r m u l a r o f O H$

Question Number 62676 Answers: 1 Comments: 1

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