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AllQuestion and Answers: Page 386

Question Number 174443 Answers: 0 Comments: 2

Question Number 174442 Answers: 1 Comments: 0

Question Number 174440 Answers: 0 Comments: 3

1+(√3^x )=2^x x=?

$1 + \sqrt{3^{x}} = 2^{x} x = ?$

Question Number 174439 Answers: 1 Comments: 0

x∈ ( 0 , 1 ) , k ∈ N prove that : kx^( k) < (x/(1−x)) (math analysis)

$x \in (0, 1), k \in N$ $p r o v e t h a t :$ ${k x}^{k} < \frac{x}{1 - x} (m a t h a n a l y s i s)$

Question Number 174430 Answers: 1 Comments: 0

Question Number 174427 Answers: 3 Comments: 0

solve for x ∈ R : ((12+4x^ −x^( 2) ))^(1/4) +(√(1+8x−2x^( 2) )) = 2x^( 2) −8x +13 ■

$s o l v e f o r x \in R :$ $\sqrt[4]{12 + 4 x^{} - x^{2}} + \sqrt{1 + 8 x - 2 x^{2}} = 2 x^{2} - 8 x + 13 ◼$

Question Number 174425 Answers: 0 Comments: 0

Calculate : 𝛗 = ∫_0 ^( (π/2)) (( x^( 3) )/(sin^( 2) ( x )))dx= ? −−−

$C a l c u l a t e :$ $ϕ = \int_{0}^{\frac{π}{2}} \frac{x^{3}}{{s i n}^{2} (x)} d x = ?$ $- - -$

Question Number 174424 Answers: 0 Comments: 0

# prove that # tan^( 2) ( 10^( o) ) + tan^( 2) (50^( o) )+tan^( 2) (70^( o) )=^? 9 −−−−−

$You can't use 'macro parameter character #' in math mode$ ${t a n}^{2} (10^{o}) + {t a n}^{2} (50^{o}) + {t a n}^{2} (70^{o}) \overset{?}{=} 9$ $- - - - -$

Question Number 174421 Answers: 0 Comments: 0

1) show that ∫_(−1) ^1 ((−dx)/( (√(x^2 +2x+2))))=ln((√5)−2) 2) determine ∫_1 ^∞ (dx/((x+1)(√x))) 3) test the convergence of the series given by Σ_(r=1) ^∞ (((r+1)!)/(r!(e^r ))) 4) obtain 3 non zero terms of maclaurrins series for sin^2 (x),hence evaluate ∫_0 ^(0.5) ((sin^2 (x))/x^2 )dx given your answer correct to 4 decimal places

$1) s h o w t h a t$ $\int_{- 1}^{1} \frac{- d x}{\sqrt{x^{2} + 2 x + 2}} = l n (\sqrt{5} - 2)$ $2)$ $d e t e r m i n e$ $\int_{1}^{\infty} \frac{d x}{(x + 1) \sqrt{x}}$ $3) t e s t t h e c o n v e r g e n c e o f t h e s e r i e s g i v e n b y$ $\underset{r = 1}{\sum^{\infty}} \frac{(r + 1)!}{r! (e^{r})}$ $4)$ $o b t a i n 3 n o n z e r o t e r m s o f m a c l a u r r i n s$ $s e r i e s f o r {s i n}^{2} (x), h e n c e e v a l u a t e$ $\int_{0}^{0.5} \frac{{s i n}^{2} (x)}{x^{2}} d x$ $g i v e n y o u r a n s w e r c o r r e c t t o 4 d e c i m a l$ $p l a c e s$

Question Number 174420 Answers: 2 Comments: 0

determine whether the following integral are convergence or divergence 1)∫_(−∞) ^1 (3/(4−2x))dx 2)∫_1 ^2 (x^2 /( (√(8−x^3 ))))dx

$d e t e r m i n e w h e t h e r t h e f o l l o w i n g i n t e g r a l$ $a r e c o n v e r g e n c e o r d i v e r g e n c e$ $1) \int_{- \infty}^{1} \frac{3}{4 - 2 x} d x$ $2) \int_{1}^{2} \frac{x^{2}}{\sqrt{8 - x^{3}}} d x$

Question Number 174419 Answers: 0 Comments: 0

solve ∫(e^(sinh^(−1) (x+3)) /( (√(2x^2 +12x+20))))dx

$s o l v e$ $\int \frac{e^{{s i n h}^{- 1} (x + 3)}}{\sqrt{2 x^{2} + 12 x + 20}} d x$

Question Number 174408 Answers: 0 Comments: 0

((2525)/x) ≡ 5 (remainder), How many value of x.

$\frac{2525}{x} \equiv 5 (r e m a i n d e r), H o w m a n y v a l u e o f x .$

Question Number 174407 Answers: 1 Comments: 0

evaluate lim_(x→−∞) ((3^(sinx ) +2x +1)/(sinx−(√(x^2 +1)) ))

$e v a l u a t e$ $\lim_{x \to - \infty} \frac{3^{\sin x} + 2 x + 1}{\sin x - \sqrt{x^{2} + 1}}$

Question Number 174406 Answers: 1 Comments: 0

Question Number 174404 Answers: 1 Comments: 0

Question Number 174396 Answers: 2 Comments: 0

Question Number 174389 Answers: 1 Comments: 0

what is least upper bound of the sequence {(1+(1/n))ln(1+(1/n))}_(n=1) ^∞ ? A.0 B.ln2 C.ln5 D.2ln2

$w h a t i s l e a s t u p p e r b o u n d o f t h e$ $s e q u e n c e {(1 + \frac{1}{n}) l n (1 + \frac{1}{n})}_{n = 1}^{\infty} ?$ $A . 0 B . l n 2 C . l n 5 D . 2 l n 2$

Question Number 174376 Answers: 0 Comments: 6

if the mean of the data 1,2,3,4,..., 100 is 50.5 then what is the mean of the data 5,7,9,11,...,203??

$i f t h e m e a n o f t h e d a t a 1, 2, 3, 4, . . ., 100$ $i s 50.5 t h e n w h a t i s t h e m e a n o f t h e$ $d a t a 5, 7, 9, 11, . . ., 203 ? ?$

Question Number 174377 Answers: 1 Comments: 0

Question Number 174374 Answers: 2 Comments: 0

lim_(x→∞) (((x+3)/(x−2)))^x

$l i \underset{x \to \infty}{m} {(\frac{x + 3}{x - 2})}^{x}$

Question Number 174370 Answers: 0 Comments: 1

Question Number 174373 Answers: 0 Comments: 1

find ∫(√(x+(√(1−x))))dx

$f i n d \int \sqrt{x + \sqrt{1 - x}} d x$

Question Number 174361 Answers: 0 Comments: 1

Question Number 175036 Answers: 1 Comments: 0

Solve the differential equation (xy^2 −1)dx−(x^2 y−1)dy=0

$Solve the differential equation$ $({xy}^{2} - 1) dx - (x^{2} y - 1) dy = 0$

Question Number 174356 Answers: 2 Comments: 0

x^3 +4x^2 −9x−14=0 1. (1/x_1 ^2 )+(1/x_2 ^2 )+(1/x_3 ^2 )=? 2. Σ ((x_1 ^2 +x_2 ^2 )/x_3 )=?

$x^{3} + 4 x^{2} - 9 x - 14 = 0$ $1 . \frac{1}{x_{1}^{2}} + \frac{1}{x_{2}^{2}} + \frac{1}{x_{3}^{2}} = ?$ $2 . Σ \frac{x_{1}^{2} + x_{2}^{2}}{x_{3}} = ?$

Question Number 174351 Answers: 1 Comments: 0

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