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AllQuestion and Answers: Page 1634

Question Number 39475 Answers: 1 Comments: 0

Question Number 39470 Answers: 2 Comments: 2

Question Number 39469 Answers: 1 Comments: 0

Question Number 39466 Answers: 0 Comments: 1

Question Number 39464 Answers: 1 Comments: 0

Domain of the explicit form of the function y represented implicitly by the equation (1+x)cosy−x^2 =0 is (a) (−1,1] (b) (−1, 1−(√)5/2] (c) [1−(√)5/2, 1+(√)5/2] (d) [0, 1+(√)5/2]

$D o m a i n o f t h e e x p l i c i t f o r m o f$ $t h e f u n c t i o n y r e p r e s e n t e d$ $i m p l i c i t l y b y t h e e q u a t i o n$ $(1 + x) c o s y - x^{2} = 0 i s$ $(a) (- 1, 1] (b) (- 1, 1 - \sqrt{} 5 / 2]$ $(c) [1 - \sqrt{} 5 / 2, 1 + \sqrt{} 5 / 2]$ $(d) [0, 1 + \sqrt{} 5 / 2]$

Question Number 39458 Answers: 0 Comments: 4

find the greatest possible square insribed in a triangle with sides a b c

$find the greatest possible square insribed in$ $a triangle with sides a b c$

Question Number 39457 Answers: 1 Comments: 0

Question Number 39443 Answers: 1 Comments: 3

lim_(n→∞) [ (1/(n^2 +1))+ (2/(n^2 +2))+ (3/(n^2 +3))+ ....+(1/(n+1))] = ?

$\lim_{n \to \infty} [\frac{1}{n^{2} + 1} + \frac{2}{n^{2} + 2} + \frac{3}{n^{2} + 3} + . . . . + \frac{1}{n + 1}] = ?$

Question Number 39441 Answers: 0 Comments: 2

∫_(1/4) ^( 4) (1/x) sin (x−(1/x))dx = ?

$\int_{\frac{1}{4}}^{4} \frac{1}{x} \sin (x - \frac{1}{x}) d x = ?$

Question Number 39440 Answers: 1 Comments: 0

f(x)= ∫_0 ^( x_ ) e^(t ) (((1+sin t)/(1+cos t))) dt. Then f((π/3))×f(((2π)/3)) = ?

$f (x) = \int_{0}^{x_{}} e^{t} (\frac{1 + \sin t}{1 + \cos t}) d t .$ $T hen f (\frac{π}{3}) \times f (\frac{2 π}{3}) = ?$

Question Number 39436 Answers: 1 Comments: 2

Question Number 39477 Answers: 1 Comments: 3

∫2^x 3^(2x) dx=?

$\int 2^{x} 3^{2 x} dx = ?$

Question Number 39431 Answers: 1 Comments: 1

∫_0 ^(2π) e^(x/2) sin ((x/2)+(π/4))dx = ?

$\int_{0}^{2 π} e^{\frac{x}{2}} \sin (\frac{x}{2} + \frac{π}{4}) d x = ?$

Question Number 39402 Answers: 1 Comments: 1

Question Number 39483 Answers: 0 Comments: 3

find f(t)= ∫_0 ^1 ((ln(1+xt))/(1+x^2 )) dx .

$f i n d f (t) = \int_{0}^{1} \frac{l n (1 + x t)}{1 + x^{2}} d x .$

Question Number 39395 Answers: 0 Comments: 2

Given that θ is an obtuse angle find tan θ if cos θ =(3/5)

$G i v e n t h a t θ i s a n o b t u s e$ $a n g l e f i n d t a n θ i f$ $c o s θ = \frac{3}{5}$

Question Number 39389 Answers: 0 Comments: 2

calculate F(x) = ∫_0 ^∞ (dt/(1+(1+x(1+t^2 ))^2 ))

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

Question Number 39388 Answers: 1 Comments: 0

calculate A =tan((π/5)).tan(((2π)/5)).tan(((3π)/5)).tan(((4π)/5))

$c a l c u l a t e A = t a n (\frac{π}{5}) . t a n (\frac{2 π}{5}) . t a n (\frac{3 π}{5}) . t a n (\frac{4 π}{5})$

Question Number 39386 Answers: 1 Comments: 1

find the value of ∫_0 ^1 ((ln(1+x))/(1+x^2 ))dx

$f i n d t h e v a l u e o f \int_{0}^{1} \frac{l n (1 + x)}{1 + x^{2}} d x$

Question Number 39384 Answers: 2 Comments: 0

The values of a for which y= ax^2 +ax+(1/(24)) and x = ay^2 +ay+(1/(24)) touch each other are 1) (2/3) 2) (3/2) 3) ((13+(√(601)))/(12)) 4) ((13−(√(601)))/(12)).

$The values of a for which y = a x^{2} + a x + \frac{1}{24}$ $a n d x = {a y}^{2} + a y + \frac{1}{24} t o u c h e a c h o t h e r$ $a r e$ $1) \frac{2}{3} 2) \frac{3}{2}$ $3) \frac{13 + \sqrt{601}}{12} 4) \frac{13 - \sqrt{601}}{12} .$

Question Number 39383 Answers: 1 Comments: 1

calculate ∫_0 ^(π/3) ((sinxdx)/(cosx(2+ln(cosx))) .

$c a l c u l a t e \int_{0}^{\frac{π}{3}} \frac{s i n x d x}{c o s x (2 + l n (c o s x)} .$

Question Number 39382 Answers: 1 Comments: 0

Question Number 39381 Answers: 1 Comments: 0

Question Number 39380 Answers: 0 Comments: 0

find the value of Σ_(n=0) ^∞ (((−1)^n )/(4n+1))

$f i n d t h e v a l u e o f \sum_{n = 0}^{\infty} \frac{{(- 1)}^{n}}{4 n + 1}$

Question Number 39379 Answers: 1 Comments: 6

Question Number 39378 Answers: 0 Comments: 1

study the derivability of f(x)=Σ_(n=0) ^∞ (((−1)^n )/(nx +1))

$s t u d y t h e d e r i v a b i l i t y o f$ $f (x) = \sum_{n = 0}^{\infty} \frac{{(- 1)}^{n}}{n x + 1}$

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