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Question Number 155642 Answers: 0 Comments: 3

Question Number 155639 Answers: 1 Comments: 4

Question Number 155638 Answers: 1 Comments: 2

Question Number 155631 Answers: 2 Comments: 2

(x+3(x−2)=x+10

$(x + 3 (x - 2) = x + 10$

Question Number 155630 Answers: 1 Comments: 0

Question Number 155628 Answers: 1 Comments: 0

Question Number 155625 Answers: 2 Comments: 0

lim_(x→0) (((tanx)/x))^(1/x^2 ) = ?

$\lim_{x \to 0} {(\frac{t a n x}{x})}^{\frac{1}{x^{2}}} = ?$

Question Number 155621 Answers: 1 Comments: 0

Question Number 155620 Answers: 1 Comments: 0

Find: 𝛀 = lim_(x→1) ((∫_(x-1) ^(e^x -e) cos(t^5 )dt)/(3^x - 3)) = ?

$Find : Ω = \lim_{x \to 1} \frac{\underset{x - 1}{\int^{e^{x} - e}} \cos (t^{5}) dt}{3^{x} - 3} = ?$

Question Number 155619 Answers: 1 Comments: 0

𝛀 =∫_( 0) ^( 1) (x^(49) /(1 + x + x^2 + x^3 ... x^(100) )) dx = ?

$Ω = \underset{0}{\int^{1}} \frac{x^{49}}{1 + x + x^{2} + x^{3} . . . x^{100}} dx = ?$

Question Number 155618 Answers: 0 Comments: 0

if x;y∈R and x^3 +y^3 =16 prove that: x^4 + y^4 + 2x^2 + y^2 ≥ 4x + 36

$if x; y \in R and x^{3} + y^{3} = 16 prove that :$ $x^{4} + y^{4} + {2 x}^{2} + y^{2} ⩾ 4 x + 36$

Question Number 155604 Answers: 1 Comments: 0

Question Number 155594 Answers: 1 Comments: 0

Question Number 155586 Answers: 1 Comments: 0

How to proof f:X→Y f is 1 to 1 ⇐⇒ f(E)\f(F)=f(E\F)

$H o w t o p r o o f f : X \to Y$ $f i s 1 t o 1 \Leftarrow\Rightarrow f (E) ∖ f (F) = f (E ∖ F)$

Question Number 155585 Answers: 0 Comments: 0

Evaluate the limit and prove by the ε−δ definition that as n→∞ for z≥1 (2(z)^(1/n) − 1)^n → z^2

$Evaluate the limit and prove by the$ $ε - δ definition that as n \to \infty for z ⩾ 1$ ${(2 \sqrt[n]{z} - 1)}^{n} \to z^{2}$

Question Number 155583 Answers: 2 Comments: 0

Question Number 155576 Answers: 7 Comments: 3

the polynomial 4x^3 +ax^2 +bx+9, where a and b consant, is denoted by f(x). when f(x) is divide by (x−2) the remainder is r and when divided by (x−3) the remaider is 6r. its further given that (x+3) is a factor of f(x). Show that b−a=14 and hence find a and b

$t h e p o l y n o m i a l 4 x^{3} + {a x}^{2} + b x + 9,$ $w h e r e a a n d b c o n s a n t, i s d e n o t e d b y$ $f (x) . w h e n f (x) i s d i v i d e b y (x - 2) t h e$ $r e m a i n d e r i s r a n d w h e n d i v i d e d b y$ $(x - 3) t h e r e m a i d e r i s 6 r . i t s f u r t h e r$ $g i v e n t h a t (x + 3) i s a f a c t o r o f f (x) .$ $S h o w t h a t b - a = 14$ $a n d h e n c e f i n d a a n d b$

Question Number 155574 Answers: 1 Comments: 0

The mean and standard deviation of 20 observation are found to be 10 and 2 respectively .On rechecking it was found that an observation 8 was incorrect.Calculate the incorrect mean and standard deviation (a)If the wrong iterm was ommited (b) If it is replaced by 12

$The mean and standard deviation$ $of 20 observation are found to be$ $10 and 2 respectively . On rechecking$ $it was found that an observation$ $8 was incorrect . Calculate the incorrect$ $mean and standard deviation$ $(a) I f the wrong iterm was ommited$ $(b) If it is replaced by 12$