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Question Number 190819 Answers: 1 Comments: 0

Question Number 190818 Answers: 0 Comments: 5

It is known that the set A={1 , 2, 3, ..., 100} The numbers of subsets of A which when added together are divisible by 4

$It is known that the set A = {1, 2, 3, . . ., 100}$ $The numbers of subsets of A which when$ $added together are divisible by 4$

Question Number 190814 Answers: 1 Comments: 0

Question Number 190813 Answers: 1 Comments: 0

Question Number 190812 Answers: 1 Comments: 1

Question Number 190811 Answers: 1 Comments: 0

If the angle between the vectors c =ai+2j and d=3i+j is 45° , find the two possible values of a

$I f t h e a n g l e b e t w e e n t h e v e c t o r s$ $c = a i + 2 j a n d d = 3 i + j i s 45 °, f i n d$ $t h e t w o p o s s i b l e v a l u e s o f a$

Question Number 190809 Answers: 0 Comments: 2

Question Number 190802 Answers: 1 Comments: 0

log_x x=x^(5x−10) x=?

${l o g}_{x} x = x^{5 x - 10} x = ?$

Question Number 190800 Answers: 0 Comments: 0

(d^n /da^n )𝚪(a+1)=?

$\frac{d^{n}}{{da}^{n}} Γ (a + 1) = ?$

Question Number 190793 Answers: 1 Comments: 1

A projectile of mass M explodes at thee highst point of its trajectory when it hase vlocity . The horizontal distance travelede btween launch and explosion is x_0 . Two fragments are produced with initiale velocitis parallel to the ground. They thenfollow their trajectories until they hitt he ground. The fragment of mass m_1 retuns exactly to the launch point of thei orginal projectile (of mass M) while thee othr fragment of mass m_2 hits the grounda t a distance D from this point. Disregardn iteraction with air and assume that massa ws conserved in the explosion (m_1 +m_2 =M) Determine the magnitude of the velocity of fragment 2 just before it hits theground. (a) ((gx_0 )/v) (b)(√((25)/9))v (c) (√(((25)/9)v^2 +(((gx_0 )/5))2)) (d)(√((5/3)x_0 v^2 +(((gx_0 )/v))2))

$A projectile of mass M explodes at thee$ $highst point of its trajectory when it hase$ $vlocity . The horizontal distance travelede$ $btween launch and explosion is x_{0} . Two$ $fragments are produced with initiale$ $velocitis parallel to the ground . They$ $thenfollow their trajectories until they hitt$ $he ground . The fragment of mass m_{1} retuns exactly to the launch point of thei$ $orginal projectile (of mass M) while thee$ $othr fragment of mass m_{2} hits the grounda$ $t a distance D from this point . Disregardn$ $iteraction with air and assume that massa$ $ws conserved in the explosion (m_{1} + m_{2} = M) Determine the magnitude of the$ $velocity of fragment 2 just before it hits theground .$ $(a) \frac{g x_{0}}{v}$ $(b) \sqrt{\frac{25}{9}} v$ $(c) \sqrt{\frac{25}{9} v^{2} + (\frac{{g x}_{0}}{5}) 2}$ $(d) \sqrt{\frac{5}{3} x_{0} v^{2} + (\frac{{g x}_{0}}{v}) 2}$

Question Number 190790 Answers: 0 Comments: 1

Question Number 190788 Answers: 1 Comments: 0

calculate Ω= Σ_(k=0) ^n (( 1)/((n−k)!.(n+k )!))

$calculate$ $Ω = \underset{k = 0}{\sum^{n}} \frac{1}{(n - k)! . (n + k)!}$

Question Number 190784 Answers: 0 Comments: 0

If , 0 ⇢ M′ ⇢^f M⇢^g M′′⇢0 is a short exact sequence and M′ , M′′ are two finitely generated R −modules then prove M is finitely generated. Hint: f , g are two R − homomorphism.

$If, 0 ⇢ M^{'} \overset{f}{⇢} M \overset{g}{⇢} M^{″} ⇢ 0 is$ $a short exact sequence and M^{'}, M^{″} are$ $two finitely generated R - modules$ $then prove M is finitely generated .$ $Hint : f, g a r e t w o R - h o m o m o r p h i s m .$