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Question Number 34208 Answers: 0 Comments: 0

the 15^(th) term of an AP is 34 the sum of the 94^(th) to 100^(th) term is 2000 find the 2^(nd) term and the mean from the sixth term to the 10^(th) term if the 100^(th) term is 360.

$t h e 15^{t h} t e r m o f a n A P i s 34 t h e$ $s u m o f t h e 94^{t h} t o 100^{t h} t e r m i s$ $2000 f i n d t h e 2^{n d} t e r m a n d t h e$ $m e a n f r o m t h e s i x t h t e r m t o t h e$ $10^{t h} t e r m i f t h e 100^{t h} t e r m i s$ $360 .$

Question Number 34205 Answers: 1 Comments: 1

Question Number 34206 Answers: 0 Comments: 1

Question Number 34202 Answers: 1 Comments: 0

find the gradient of the curve y=(1/x).

$f i n d t h e g r a d i e n t o f t h e c u r v e$ $y = \frac{1}{x} .$

Question Number 34196 Answers: 1 Comments: 2

Question Number 34186 Answers: 1 Comments: 1

Let x_1 = 0, x_2 = 1 and x_n = (1/2)(x_(n−1) + x_(n−2) ) Show that x_n = ((2^(n−1) + (−1)^n )/(3 . 2^(n−2) ))

$Let x_{1} = 0, x_{2} = 1 and x_{n} = \frac{1}{2} (x_{n - 1} + x_{n - 2})$ $Show that$ $x_{n} = \frac{2^{n - 1} + {(- 1)}^{n}}{3 . 2^{n - 2}}$

Question Number 34184 Answers: 1 Comments: 1

if α and β are the roots of the equation 3x^2 + (x/2) − 4= 0 find p is α−β are the roots of x^2 −px + 7 =0

$i f α a n d β a r e t h e r o o t s o f t h e e q u a t i o n$ $3 x^{2} + \frac{x}{2} - 4 = 0 f i n d p i s α - β a r e$ $t h e r o o t s o f x^{2} - p x + 7 = 0$

Question Number 34182 Answers: 2 Comments: 0

resolve (x^3 /(x^6 −1)) into partial fraction

$r e s o l v e \frac{x^{3}}{x^{6} - 1} i n t o p a r t i a l f r a c t i o n$

Question Number 34170 Answers: 1 Comments: 0

the distance from A to B is 44km the speed of a car is 2kms^(−1) find the term hence the amount of money needed to buy fuel if for every 6km 10 l of fuel is used which causes 600 box.

$t h e d i s t a n c e f r o m A t o B i s 44 k m$ $t h e s p e e d o f a c a r i s 2 {k m s}^{- 1} f i n d$ $t h e t e r m h e n c e t h e a m o u n t o f$ $m o n e y n e e d e d t o b u y f u e l i f f o r$ $e v e r y 6 k m 10 l o f f u e l i s u s e d w h i c h$ $c a u s e s 600 b o x .$

Question Number 34169 Answers: 1 Comments: 0

if the sum S_4 of the first 4 terms of a G P is 24 and the sum S_6 of the first 6 terms is 30 find the first term and common ratio..

$i f t h e s u m S_{4} o f t h e f i r s t 4 t e r m s$ $o f a G P i s 24 a n d t h e s u m S_{6} o f$ $t h e f i r s t 6 t e r m s i s 30 f i n d t h e$ $f i r s t t e r m a n d c o m m o n r a t i o . .$

Question Number 34160 Answers: 1 Comments: 3

prove that lim_(x→0^+ ) ln x∙ln (1+x)=lim_(x→1) ln x∙ln (1+x)

$p r o v e t h a t$ $\underset{x \to 0^{+}}{\lim l n} x \cdot \ln (1 + x) = \underset{x \to 1}{\lim l n} x \cdot \ln (1 + x)$

Question Number 34159 Answers: 1 Comments: 1

let S=1+2+...+2018 compute S(mod 2)+S(mod8)+S(mod2018)

$l e t S = 1 + 2 + . . . + 2018$ $c o m p u t e S (\mod 2) + S (\mod 8) + S (\mod 2018)$

Question Number 34142 Answers: 0 Comments: 1

what is the derivative of (x+3)(x^2 + 5) and find the n sequence of Σ_(r=n+1 ) ^(2n) (4r^3 −3)

$w h a t i s t h e d e r i v a t i v e o f$ $(x + 3) (x^{2} + 5)$ $a n d f i n d t h e n s e q u e n c e o f$ $\underset{r = n + 1}{\sum^{2 n}} (4 r^{3} - 3)$

Question Number 34140 Answers: 2 Comments: 0

what is the remainder when 767^(1009) is divided by 25

$w h a t i s t h e r e m a i n d e r w h e n$ $767^{1009} i s d i v i d e d b y 25$

Question Number 34139 Answers: 2 Comments: 0

What is the remainder when 17^(200) is divided by 18

$W h a t i s t h e r e m a i n d e r w h e n$ $17^{200} i s d i v i d e d b y 18$

Question Number 34129 Answers: 2 Comments: 2

find the value of ∫_0 ^1 ln(x)ln(1+x)dx .

$f i n d t h e v a l u e o f \int_{0}^{1} l n (x) l n (1 + x) d x .$

Question Number 34126 Answers: 0 Comments: 0

let give n natural integr not o calculate A_n = ∫_0 ^∞ (dx/(Π_(k=1) ^n (x^2 +k))) .

$l e t g i v e n n a t u r a l i n t e g r n o t o$ $c a l c u l a t e A_{n} = \int_{0}^{\infty} \frac{d x}{\prod_{k = 1}^{n} (x^{2} + k)} .$

Question Number 34119 Answers: 3 Comments: 0

if u and v are real valued functions of x, then (d/dx)((u/v))= A. ((v(du/dx)− u(dv/dx))/u^2 ) B. ((v(du/dx)− u(dv/dx))/u^2 ) C. ((v(du/dx)−u (dv/dx))/v^2 ) D. ((u(dv/dx) − v(du/dx))/v^2 )

$i f u a n d v a r e r e a l v a l u e d f u n c t i o n s$ $o f x, t h e n \frac{d}{d x} (\frac{u}{v}) =$ $A . \frac{v \frac{d u}{d x} - u \frac{d v}{d x}}{u^{2}} B . \frac{v \frac{d u}{d x} - u \frac{d v}{d x}}{u^{2}}$ $C . \frac{v \frac{d u}{d x} - u \frac{d v}{d x}}{v^{2}} D . \frac{u \frac{d v}{d x} - v \frac{d u}{d x}}{v^{2}}$

Question Number 34117 Answers: 0 Comments: 1

Question Number 34116 Answers: 0 Comments: 1

Question Number 34110 Answers: 0 Comments: 2

Question Number 34109 Answers: 0 Comments: 0

Question Number 34107 Answers: 0 Comments: 6

Question Number 34114 Answers: 0 Comments: 0

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Question Number 34115 Answers: 0 Comments: 1

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