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Question Number 40551 Answers: 1 Comments: 5

Question Number 40550 Answers: 1 Comments: 0

if three numbers are drawn at random successively without replacement from a set S={1,2,......10}then probability that the minimum of the choosen number is 3 or their maximum is 7 Answer=((11)/(40))

$if three numbers are drawn at random$ $successively without replacement from$ $a set S = {1, 2, . . . . . . 10} then probability that$ $the minimum of the choosen number is$ $3 or their maximum is 7$ $Answer = \frac{11}{40}$

Question Number 40523 Answers: 1 Comments: 1

If (1+ax+bx^2 )(1−2x)^(18) can be expanded using binomial theorem in ascending power of x.Determine the value of a and b,if the coefficient of x^3 and x^(4 ) are both zero.

$I f (1 + a x + {b x}^{2}) {(1 - 2 x)}^{18} c a n b e e x p a n d e d u s i n g$ $b i n o m i a l t h e o r e m i n a s c e n d i n g p o w e r o f x . D e t e r m i n e$ $t h e v a l u e o f a a n d b, i f t h e c o e f f i c i e n t o f x^{3} a n d x^{4} a r e b o t h z e r o .$

Question Number 40544 Answers: 1 Comments: 0

solve for x 3^((2x−1)) −4(3^x )+1=0

$solve for x$ $3^{(2 x - 1)} - 4 (3^{x}) + 1 = 0$

Question Number 40519 Answers: 1 Comments: 1

Question Number 40499 Answers: 1 Comments: 0

A particle of mass 2×10^(−27) kg moves according to the following y=5cos(((πt)/3)+(π/4)) find the maximum kinetic energy

$A p a r t i c l e o f m a s s 2 \times 10^{- 27} k g m o v e s$ $a c c o r d i n g t o t h e f o l l o w i n g$ $y = 5 c o s (\frac{π t}{3} + \frac{π}{4})$ $f i n d t h e m a x i m u m k i n e t i c e n e r g y$

Question Number 40498 Answers: 1 Comments: 0

A gas at 17° has the ratio of its initial to final volume as 25 with initial pressure of 2×10^5 Nm^(−2) .Calculate the final pressure and temperature after compression.(γ=1.5)

$A g a s a t 17 ° h a s t h e r a t i o o f i t s i n i t i a l$ $t o f i n a l v o l u m e a s 25 w i t h i n i t i a l$ $p r e s s u r e o f 2 \times 10^{5} {N m}^{- 2} . C a l c u l a t e$ $t h e f i n a l p r e s s u r e a n d t e m p e r a t u r e$ $a f t e r c o m p r e s s i o n . (γ = 1.5)$

Question Number 40497 Answers: 0 Comments: 1

please i want to have applications of limits in maths and other sciences

$p l e a s e i w a n t t o h a v e a p p l i c a t i o n s o f$ $l i m i t s i n m a t h s a n d o t h e r s c i e n c e s$

Question Number 40505 Answers: 1 Comments: 0

calcilate ∫_(π/6) ^(π/4) ((sin(x))/(cos(x) +cos(2x)))dx

$c a l c i l a t e \int_{\frac{π}{6}}^{\frac{π}{4}} \frac{s i n (x)}{c o s (x) + c o s (2 x)} d x$

Question Number 40504 Answers: 1 Comments: 0

let u_n =Σ_(k=1) ^n (1/(n^2 +k)) find lim_(n→+∞) n{1−n u_n } .

$l e t u_{n} = \sum_{k = 1}^{n} \frac{1}{n^{2} + k}$ $f i n d {l i m}_{n \to + \infty} n {1 - n u_{n}} .$

Question Number 40510 Answers: 1 Comments: 0

Given that ax+b is a factor of x^2 +2x^2 −1 and −a is a root of x^2 +2x −1=0 show that the value of b is −1 or 3+2(√(2 .))

$G i v e n t h a t a x + b i s a f a c t o r o f x^{2}$ $+ 2 x^{2} - 1 a n d - a i s a r o o t o f x^{2} + 2 x$ $- 1 = 0 s h o w t h a t t h e v a l u e o f b i s$ $- 1 o r 3 + 2 \sqrt{2 .}$

Question Number 40489 Answers: 2 Comments: 3

Question Number 40479 Answers: 1 Comments: 0

Question Number 40474 Answers: 2 Comments: 0

When x^7 −97x^6 −199x^5 +99x^4 − 2x+190 is divided by x−99 find the remainder.

$W h e n x^{7} - 97 x^{6} - 199 x^{5} + 99 x^{4} -$ $2 x + 190 i s d i v i d e d b y x - 99 f i n d$ $t h e r e m a i n d e r .$

Question Number 40469 Answers: 0 Comments: 4

Question Number 40457 Answers: 1 Comments: 0

Question Number 40442 Answers: 2 Comments: 0

Solve : y^4 dx + 2xy^3 dy = ((ydx− xdy)/(x^3 y^3 )).

$Solve :$ $y^{4} d x + 2 x y^{3} dy = \frac{yd x - x dy}{x^{3} y^{3}} .$

Question Number 40434 Answers: 0 Comments: 3

prove that ln(x) is irrational for x natural

$p r o v e t h a t \ln (x) i s i r r a t i o n a l f o r x n a t u r a l$

Question Number 40426 Answers: 0 Comments: 0

Question Number 40422 Answers: 1 Comments: 1

Solve: ydx − xdy +log xdx =0

$Solve :$ $yd x - x d y + \log x d x = 0$

Question Number 40418 Answers: 2 Comments: 1

Question Number 40417 Answers: 0 Comments: 0

Question Number 40407 Answers: 1 Comments: 0

let f(x)= x^3 −x−1 1) prove that ∃ α ∈ ]1,2[ /f(α)=0 2) use the newton method with x_0 =(3/2) to find a better value for α (take onlly 5 terms)

$l e t f (x) = x^{3} - x - 1$ $1) p r o v e t h a t \exists α \in] 1, 2 [/ f (α) = 0$ $2) u s e t h e n e w t o n m e t h o d w i t h x_{0} = \frac{3}{2}$ $t o f i n d a b e t t e r v a l u e f o r α (t a k e o n l l y 5 t e r m s)$

Question Number 40406 Answers: 1 Comments: 0

Question Number 40399 Answers: 3 Comments: 0

Solve : (2(√(xy)) −x)dy + ydx = 0.

$Solve :$ $(2 \sqrt{x y} - x) d y + y d x = 0 .$

Question Number 40397 Answers: 1 Comments: 0

Solve : (dy/dx) = ((sin y + x)/(sin 2y − xcos y)) .

$Solve :$ $\frac{dy}{d x} = \frac{\sin y + x}{\sin 2 y - x \cos y} .$

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