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Question Number 72824 Answers: 1 Comments: 0

fnd all integers n for which 13∣ 4(n^2 + 1)

$f n d a l l i n t e g e r s n f o r w h i c h$ $13 ∣ 4 (n^{2} + 1)$

Question Number 72806 Answers: 1 Comments: 2

show that lim_( x→0) [ x] does not exist. Hence define [x] and sketch a graph for y = 3x^2 + [x]

$\underset{x \to 0}{s h o w t h a t \lim} [x] d o e s n o t e x i s t .$ $H e n c e d e f i n e [x] a n d s k e t c h a g r a p h f o r$ $y = 3 x^{2} + [x]$

Question Number 72805 Answers: 0 Comments: 0

PARTIAL VARIATION The success rate of government variws inversly as the number of corrupt mi nded individual and varies directly as the number of clean minded individal .if the goverment attain 95% success rate when there are two corrupt minded and 75% success rate when there are 5 corrupt minded and 20 clean minded individual. How many corrupr minded individual must be in administration with one clean minded individual to attain 99% success rate?

$P A R T I A L V A R I A T I O N$ $T h e s u c c e s s r a t e o f g o v e r n m e n t v a r i w s$ $i n v e r s l y a s t h e n u m b e r o f c o r r u p t m i$ $n d e d i n d i v i d u a l a n d v a r i e s d i r e c t l y$ $a s t h e n u m b e r o f c l e a n m i n d e d i n d i v i d a l$ $. i f t h e g o v e r m e n t a t t a i n 95 % s u c c e s s$ $r a t e w h e n t h e r e a r e t w o c o r r u p t m i n d e d$ $a n d 75 % s u c c e s s r a t e w h e n t h e r e a r e$ $5 c o r r u p t m i n d e d a n d 20 c l e a n m i n d e d$ $i n d i v i d u a l . H o w m a n y c o r r u p r m i n d e d$ $i n d i v i d u a l m u s t b e i n a d m i n i s t r a t i o n$ $w i t h o n e c l e a n m i n d e d i n d i v i d u a l t o$ $a t t a i n 99 % s u c c e s s r a t e ?$

Question Number 72734 Answers: 3 Comments: 0

A triangle ABC is inscribed in a circle.AC=10cm,BC=7cm and AB=10cm.Find the radius of the circle.

$A t r i a n g l e A B C i s i n s c r i b e d i n a$ $c i r c l e . A C = 10 c m, B C = 7 c m a n d$ $A B = 10 c m . F i n d t h e r a d i u s o f t h e$ $c i r c l e .$

Question Number 72718 Answers: 0 Comments: 3

given that a ≡ b(mod n) show that a^k ≡ b^k (mod n)

$g i v e n t h a t$ $a \equiv b (m o d n)$ $s h o w t h a t a^{k} \equiv b^{k} (m o d n)$

Question Number 72688 Answers: 3 Comments: 0

Evaluate lim_(t→9) ((9−t)/(3−(√t) ))

$E v a l u a t e$ $\underset{t \to 9}{l i m} \frac{9 - t}{3 - \sqrt{t}}$

Question Number 72693 Answers: 1 Comments: 0

prove that the arithmetic mean of a sequence is greater or equal to the geometric mean. that is ((a + b)/2) ≥ (√(ab))

$p r o v e t h a t t h e a r i t h m e t i c m e a n o f a s e q u e n c e$ $i s g r e a t e r o r e q u a l t o t h e g e o m e t r i c m e a n .$ $t h a t i s$ $\frac{a + b}{2} ⩾ \sqrt{a b}$

Question Number 72634 Answers: 1 Comments: 4

help me with the conditions please for a function f to be continuous at a point a

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

Question Number 72633 Answers: 0 Comments: 0

prove using th sandwich or Squeez theorem that for any a > 0 lim_(x→a) (√x) = (√a)

$p r o v e u s i n g t h s a n d w i c h o r S q u e e z t h e o r e m t h a t$ $f o r a n y a > 0$ $\lim_{x \to a} \sqrt{x} = \sqrt{a}$

Question Number 72628 Answers: 0 Comments: 2

solve the inequality log_3 (2x^2 + 9x + 9) < 0

$s o l v e t h e i n e q u a l i t y$ ${l o g}_{3} (2 x^{2} + 9 x + 9) < 0$

Question Number 72595 Answers: 1 Comments: 3

(α+β)^2 = α^2 + 2αβ + β^(2 )

${(α + β)}^{2} = α^{2} + 2 α β + β^{2}$

Question Number 72579 Answers: 1 Comments: 0

Question Number 72526 Answers: 2 Comments: 1

if the lcm and gcf of three numbers are 360 and 6,other numbers are 18 and 60.Find the third number. ... I need help plz...

$i f t h e l c m a n d g c f o f t h r e e n u m b e r s$ $a r e 360 a n d 6, o t h e r n u m b e r s a r e 18$ $a n d 60 . F i n d t h e t h i r d n u m b e r .$ $. . . I n e e d h e l p p l z . . .$

Question Number 72499 Answers: 3 Comments: 0

Find the ratio of; x:y if 10x^2 −9xy +2y^2 =0

$F i n d t h e r a t i o o f; x : y i f 10 x^{2} - 9 x y$ $+ 2 y^{2} = 0$

Question Number 72498 Answers: 1 Comments: 0

Karanja and Ouma can do a certain job in 6 days. Karanja alone can do the work in 5 days more than Ouma. How many days can Karanja take to do the job alone?

$K a r a n j a a n d O u m a c a n d o a$ $c e r t a i n j o b i n 6 d a y s . K a r a n j a$ $a l o n e c a n d o t h e w o r k i n 5 d a y s$ $m o r e t h a n O u m a . H o w m a n y$ $d a y s c a n K a r a n j a t a k e t o d o t h e$ $j o b a l o n e ?$

Question Number 72453 Answers: 0 Comments: 0

Question Number 72430 Answers: 0 Comments: 0

Hello find finde ∫_0 ^(+∞) ((ln(x))/(x^2 +ax+b))dx conditions a^2 <4b in therm of x_1 ,x_2 root of X^2 +aX+b hint Residus theorem applied too ((log^2 (z))/(z^2 +az+b)) this is very usufull i find it in lecture yesterday because we can easly evaluat any kinde of ∫_0 ^(+∞) ((log^k (z))/(p(z)))dz withe p(z) eiwthout root in ]0,+∞[ deg(p(z))≥2

$Hello find$ $finde \int_{0}^{+ \infty} \frac{\ln (x)}{x^{2} + ax + b} dx$ $conditions a^{2} < 4 b$ $in therm of x_{1}, x_{2} root of X^{2} + aX + b$ $hint Residus theorem applied too \frac{\log^{2} (z)}{z^{2} + az + b}$ $this is very usufull i find it in lecture yesterday$ $because we can easly evaluat any kinde of \int_{0}^{+ \infty} \frac{\log^{k} (z)}{p (z)} dz$ $withe p (z) eiwthout root in] 0, + \infty [\deg (p (z)) ⩾ 2$

Question Number 72416 Answers: 0 Comments: 1

Question Number 72394 Answers: 0 Comments: 3

let g(x)=((ln(1+x))/(3+x^2 )) 1) find g^((n)) (x)and g^((n)) (0) 2)developp g at integr serie

$l e t g (x) = \frac{l n (1 + x)}{3 + x^{2}}$ $1) f i n d g^{(n)} (x) a n d g^{(n)} (0)$ $2) d e v e l o p p g a t i n t e g r s e r i e$

Question Number 72343 Answers: 0 Comments: 3

given that y = ln ( 1 + cos^2 x) find (dy/(dx )) at the point x = ((3π)/4) and if y =ln(x^2 + 4) find (dy/dx) at x = 1

$g i v e n t h a t y = l n (1 + {c o s}^{2} x) f i n d \frac{d y}{d x} a t t h e p o i n t x = \frac{3 π}{4}$ $a n d i f y = l n (x^{2} + 4) f i n d \frac{d y}{d x} a t x = 1$

Question Number 72232 Answers: 0 Comments: 6

to all those who deleted their posts after they had been answered: I will not answer you anymore this forum had been great but lately it has been filling with unpolite people I′m not a freebie solver for anybody′s homework

$to all those who deleted their posts after they$ $had been answered : I will not answer you$ $anymore$ $this forum had been great but lately it has$ $been filling with unpolite people$ $I^{'} m not a freebie solver for {anybody}^{'} s homework$

Question Number 72153 Answers: 1 Comments: 3

∫((sin^3 x)/(√(cos x)))dx ∫sin(lnx)dx

$\int \frac{\sin^{3} x}{\sqrt{\cos x}} dx$ $\int \sin (lnx) dx$

Question Number 71852 Answers: 1 Comments: 0

show that 5^(22) + 17^(22) ≡ 6 (mod 11)

$s h o w t h a t 5^{22} + 17^{22} \equiv 6 (m o d 11)$

Question Number 71838 Answers: 1 Comments: 3

solve the system of linear congruences x ≡ 2 (mod 3) x ≡ 4(mod 5) x ≡ 7 (mod 9) x≡ 11( mod 13) using the Brute force method

$s o l v e t h e s y s t e m o f l i n e a r c o n g r u e n c e s$ $x \equiv 2 (m o d 3)$ $x \equiv 4 (m o d 5)$ $x \equiv 7 (m o d 9)$ $x \equiv 11 (m o d 13)$ $u s i n g t h e B r u t e f o r c e m e t h o d$

Question Number 71564 Answers: 1 Comments: 2

(z−i)^4 =−7+24i

${(z - i)}^{4} = - 7 + 24 i$

Question Number 71432 Answers: 0 Comments: 2

is 1(5/(3 )) an example of a mixed fraction

$i s 1 \frac{5}{3} a n e x a m p l e o f a m i x e d f r a c t i o n$

Pg 75 Pg 76 Pg 77 Pg 78 Pg 79 Pg 80 Pg 81 Pg 82 Pg 83 Pg 84

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