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Question Number 21653 Answers: 0 Comments: 0

Find all pair of solutions (x,y) that satisfy the equation: ((7x^2 − 13xy + 7y^2 ))^(1/3) = ∣x − y∣ + 1

$Find all pair of solutions (x, y) that satisfy the equation :$ $\sqrt[3]{7 x^{2} - 13 x y + 7 y^{2}} = ∣ x - y ∣ + 1$

Question Number 21651 Answers: 0 Comments: 4

How many four-digit numbers are there whose decimal notation contains not more than two distinct digits?

$H o w m a n y f o u r - d i g i t n u m b e r s a r e$ $t h e r e w h o s e d e c i m a l n o t a t i o n c o n t a i n s$ $n o t m o r e t h a n t w o d i s t i n c t d i g i t s ?$

Question Number 21650 Answers: 0 Comments: 0

The three distinct successive terms of an A.P are the first,second and fourth terms of a G.P. If the sum to infinity of a G.P is 3+(√5) , find the first term.

$T h e t h r e e d i s t i n c t s u c c e s s i v e t e r m s o f a n A . P a r e$ $t h e f i r s t, s e c o n d a n d f o u r t h t e r m s o f a G . P . I f t h e$ $s u m t o i n f i n i t y o f a G . P i s 3 + \sqrt{5}, f i n d$ $t h e f i r s t t e r m .$

Question Number 21680 Answers: 1 Comments: 0

∫(√(secθ)) dθ

$\int \sqrt{\sec θ} d θ$

Question Number 21634 Answers: 1 Comments: 0

∫3tan2t

$\int 3 t a n 2 t$

Question Number 21708 Answers: 1 Comments: 0

∫_0 ^(0.5) 2tan^2 2tdt

$\int_{0}^{0.5} 2 {t a n}^{2} 2 t d t$

Question Number 21628 Answers: 1 Comments: 0

One end of a massless spring of constant 100 N/m and natural length 0.5 m is fixed and the other end is connected to a particle of mass 0.5 kg lying on a frictionless horizontal table. The spring remains horizontal. If the mass is made to rotate at an angular velocity of 2 rad/s, find the elongation of the spring.

$One end of a massless spring of constant$ $100 N / m and natural length 0.5 m is$ $fixed and the other end is connected to$ $a particle of mass 0.5 kg lying on a$ $frictionless horizontal table . The spring$ $remains horizontal . If the mass is made$ $to rotate at an angular velocity of 2$ $rad / s, find the elongation of the spring .$

Question Number 21626 Answers: 0 Comments: 1

Is it also possible to import text or fomulars from other apps using the android−clipboard?

$Is it also possible to import text or fomulars$ $from other apps using the android - clipboard ?$

Question Number 21622 Answers: 2 Comments: 0

Question Number 21643 Answers: 0 Comments: 1

(1/(1 + 1^2 + 1^4 )) + (2/(1 + 2^2 + 2^4 )) + (3/(1 + 3^2 + 3^4 )) + ... + ((2012)/(1 + 2012^2 + 2012^4 ))

$\frac{1}{1 + 1^{2} + 1^{4}} + \frac{2}{1 + 2^{2} + 2^{4}} + \frac{3}{1 + 3^{2} + 3^{4}} + . . . + \frac{2012}{1 + 2012^{2} + 2012^{4}}$

Question Number 21612 Answers: 0 Comments: 0

Question Number 21611 Answers: 1 Comments: 0

Sin5° =?

$Sin 5 ° = ?$

Question Number 21693 Answers: 0 Comments: 15

How many six-digit numbers contain exactly four different digits?

$H o w m a n y s i x - d i g i t n u m b e r s c o n t a i n$ $e x a c t l y f o u r d i f f e r e n t d i g i t s ?$

Question Number 21604 Answers: 1 Comments: 0

A particle will leave a vertical circle of radius r, when its velocity at the lowest point of the circle (v_L ) is (a) (√(2gr)) (b) (√(5gr)) (c) (√(3gr)) (d) (√(6gr))

$A particle will leave a vertical circle of$ $radius r, when its velocity at the lowest$ $point of the circle (v_{L}) is$ $(a) \sqrt{2 g r}$ $(b) \sqrt{5 g r}$ $(c) \sqrt{3 g r}$ $(d) \sqrt{6 g r}$

Question Number 21636 Answers: 1 Comments: 1

Question Number 21598 Answers: 0 Comments: 0

Prove that ((n^2 !)/((n!)^n )) is an integer, n ∈ N.

$P r o v e t h a t \frac{n^{2}!}{{(n!)}^{n}} i s a n i n t e g e r, n \in N .$

Question Number 21588 Answers: 0 Comments: 1

Show that if G is a finite group of even order, then G has an odd number of elements of order 2.

$Show that if G is a finite group of$ $even order, then G has an odd$ $number of elements of order 2 .$

Question Number 21587 Answers: 1 Comments: 1

If n objects are arranged in a row, then find the number of ways of selecting three of these objects so that no two of them are next to each other.

$If n objects are arranged in a row, then$ $find the number of ways of selecting$ $three of these objects so that no two of$ $them are next to each other .$

Question Number 21591 Answers: 1 Comments: 1

5cos^5 tsin t

$5 \cos^{5} t \sin t$

Question Number 21595 Answers: 1 Comments: 1

3sec^2 3xtan3x

${3 \sec}^{2} 3 x t a n 3 x$

Question Number 21582 Answers: 1 Comments: 0

∫_(π/2) ^(π/4) (3x+7)

$\int_{π / 2}^{π / 4} (3 x + 7)$

Question Number 21581 Answers: 0 Comments: 0

Question Number 21580 Answers: 1 Comments: 0

Question Number 21578 Answers: 0 Comments: 1

Find the whole part of A? A=(1/(√2))+(1/(√3))+(1/(√4))+......+(1/(√(9999)))+(1/(√(10000))).

$Find the whole part of A ?$ $A = \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} + \frac{1}{\sqrt{4}} + . . . . . . + \frac{1}{\sqrt{9999}} + \frac{1}{\sqrt{10000}} .$

Question Number 21574 Answers: 1 Comments: 0

The cyclic octagon ABCDEFGH has sides a, a, a, a, b, b, b, b respectively. Find the radius of the circle that circumscribes ABCDEFGH in terms of a and b.

$The cyclic octagon A B C D E F G H has$ $sides a, a, a, a, b, b, b, b respectively .$ $Find the radius of the circle that$ $circumscribes A B C D E F G H in terms$ $of a and b .$

Question Number 21573 Answers: 0 Comments: 0

Prove that 1 < (1/(1001)) + (1/(1002)) + (1/(1003)) + ... + (1/(3001)) < 1(1/3).

$Prove that$ $1 < \frac{1}{1001} + \frac{1}{1002} + \frac{1}{1003} + . . . + \frac{1}{3001} < 1 \frac{1}{3} .$

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