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Question Number 9436 Answers: 2 Comments: 0

If they said that Σ_(k=1) ^∞ k diverges, why 1 + 2 + 3 + 4 + ... = − (1/(12)) ?

$If they said that \underset{k = 1}{\sum^{\infty}} k diverges, why$ $1 + 2 + 3 + 4 + . . . = - \frac{1}{12} ?$

Question Number 9348 Answers: 0 Comments: 0

pH = pK_a + lg(C_b /C_a )

$pH = {pK}_{a} + \lg \frac{C_{b}}{C_{a}}$

Question Number 9347 Answers: 0 Comments: 0

pH = (1/2) (14 − pK_b + pK_a )

$pH = \frac{1}{2} (14 - {pK}_{b} + {pK}_{a})$

Question Number 9346 Answers: 0 Comments: 0

pH = 14 − (1/2) ( pK_b − lgC_b )

$pH = 14 - \frac{1}{2} ({pK}_{b} - {lgC}_{b})$

Question Number 9233 Answers: 1 Comments: 0

The gamma function Γ(s) = ∫_0 ^∞ e^(−x) x^(s−1) dx How to calculate the gamma function in an easy and not time-consuming way?

$The gamma function$ $Γ (s) = \int_{0}^{\infty} e^{- x} x^{s - 1} d x$ $How to calculate the gamma function$ $in an easy and not time - consuming$ $way ?$

Question Number 9144 Answers: 1 Comments: 0

Let f(x)=x^(2013) +2 (a).Find the remainder when f(x) is divided by x+1.(done) (b). Show that when 7^(2013) +2 is divided by 8, the remainder is 1. (please help!)

$L e t f (x) = x^{2013} + 2$ $(a) . F i n d t h e r e m a i n d e r w h e n f (x) i s d i v i d e d b y x + 1 . (d o n e)$ $(b) . S h o w t h a t w h e n 7^{2013} + 2 i s d i v i d e d b y 8, t h e r e m a i n d e r$ $i s 1 . (p l e a s e h e l p!)$

Question Number 9125 Answers: 1 Comments: 0

A polygon has two interior angles of 120° each and the others are each 150°. calculate (a) The number of sides of the polygon . (b) The sum of the interior angles.

$A polygon has two interior angles of 120 ° each$ $and the others are each 150 ° . calculate$ $(a) The number of sides of the polygon .$ $(b) The sum of the interior angles .$

Question Number 8933 Answers: 1 Comments: 0

3x+3y+2z=1,x+2y=4,10y+3z=−2, 2x−3y−z=5

$3 x + 3 y + 2 z = 1, x + 2 y = 4, 10 y + 3 z = - 2,$ $2 x - 3 y - z = 5$

Question Number 8917 Answers: 0 Comments: 0

Proposed by Rasheed Soomro. What will be possible minimum area of a quadrilateral, whose all the sides touch a circle of radius r ?

$Proposed by Rasheed Soomro .$ $What will be possible minimum area$ $of a quadrilateral, whose all the sides$ $touch a circle of radius r ?$

Question Number 8685 Answers: 0 Comments: 0

Divide a circle in two equal parts by drawing an arc.

$Divide a circle in two equal parts$ $by drawing an arc .$

Question Number 8618 Answers: 1 Comments: 1

Question Number 8582 Answers: 1 Comments: 0

9×9

Question Number 8528 Answers: 2 Comments: 0

A(2,b) translation T_1 = (((−3)),(( b)) ) followed by translation T_2 = ((a),(4) ) A′=(b−1,a−3) determine the value of a+b=...?

$A (2, b) t r a n s l a t i o n T_{1} = (\begin{matrix} - 3 \\ b \end{matrix})$ $f o l l o w e d b y t r a n s l a t i o n T_{2} = (\begin{matrix} a \\ 4 \end{matrix})$ $A^{'} = (b - 1, a - 3)$ $d e t e r m i n e t h e v a l u e o f a + b = . . . ?$

Question Number 8471 Answers: 1 Comments: 2

∫_(−∞) ^∞ e^(−2∣x∣dx_ ) ?

$\underset{- \infty}{\int^{\infty}} e^{- 2 ∣ x ∣ d \underset{}{x}} ?$

Question Number 8427 Answers: 1 Comments: 0

In a circle PQRST center O, PQRS is a cyclic quadrilateral and T is on the circle. QS is a diameter and angle QOR is 86° if PTQ is 28° . Find the angles of the quadrilateral PQRS.

$In a circle PQRST center O, PQRS is a$ $cyclic quadrilateral and T is on the circle .$ $QS is a diameter and angle QOR is 86 °$ $if PTQ is 28 ° . Find the angles of the$ $quadrilateral PQRS .$

Question Number 8389 Answers: 1 Comments: 0

Question Number 8362 Answers: 1 Comments: 0

(√(2(√(2(√(2(√(2(√(2(√(2.....))))))))))))=?

$\sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 . . . . .}}}}}} = ?$

Question Number 8359 Answers: 1 Comments: 1

prove that 10 divides 11^(10) −1

$p r o v e t h a t$ $10 d i v i d e s 11^{10} - 1$

Question Number 8357 Answers: 0 Comments: 1

who is bigger ? 1000^(1000) or 101^(999 ) please answer in details.

$w h o i s b i g g e r ?$ $1000^{1000} o r 101^{999}$ $p l e a s e a n s w e r i n d e t a i l s .$

Question Number 8356 Answers: 0 Comments: 0

find factor: a^(10) +a^5 +1

$f i n d f a c t o r :$ $a^{10} + a^{5} + 1$

Question Number 8355 Answers: 2 Comments: 2

if a+b+c=0 then (((a−b)/c)+((b−c)/a)+((c−a)/b))((a/(b−c))+(b/(c−a))+(c/(a−b)))=?

$i f a + b + c = 0 t h e n$ $(\frac{a - b}{c} + \frac{b - c}{a} + \frac{c - a}{b}) (\frac{a}{b - c} + \frac{b}{c - a} + \frac{c}{a - b}) = ?$

Question Number 8353 Answers: 1 Comments: 0

(√(240+2(√(14319))))=?

$\sqrt{240 + 2 \sqrt{14319}} = ?$

Question Number 8351 Answers: 1 Comments: 1

x^2 =816−64(√(77)) x=?[write x like a(√(c ))+b(√d])

$x^{2} = 816 - 64 \sqrt{77}$ $x = ? [w r i t e x l i k e a \sqrt{c} + b \sqrt{d]}$

Question Number 8350 Answers: 1 Comments: 0

solve: (5/(3x+2))+(8/(4x+2))=((33)/(9x+8))

$s o l v e :$ $\frac{5}{3 x + 2} + \frac{8}{4 x + 2} = \frac{33}{9 x + 8}$

Question Number 8345 Answers: 1 Comments: 0

y=(x+2)^2 −3 Translation T_1 = ((a),(b) ) y′=x^2 a=? b=?

$y = {(x + 2)}^{2} - 3$ $T r a n s l a t i o n T_{1} = (\begin{matrix} a \\ b \end{matrix})$ $y^{'} = x^{2}$ $a = ? b = ?$

Question Number 8325 Answers: 0 Comments: 0

In Δ ABC,∠A=90° , AD⊥BC, DE⊥AC, AF⊥FG,GH⊥FC. (a)How many triangles are there? (b)If AB=((16)/9) , ∠B=60°,find the length of GH.

$I n Δ A B C, ∠ A = 90 °, A D ⊥ B C, D E ⊥ A C,$ $A F ⊥ F G, G H ⊥ F C .$ $(a) H o w m a n y t r i a n g l e s a r e t h e r e ?$ $(b) I f A B = \frac{16}{9}, ∠ B = 60 °, f i n d t h e l e n g t h$ $o f G H .$

Pg 105 Pg 106 Pg 107 Pg 108 Pg 109 Pg 110 Pg 111 Pg 112 Pg 113 Pg 114

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