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Relation and FunctionsQuestion and Answers: Page 6

Question Number 160305 Answers: 0 Comments: 0

Question Number 160304 Answers: 0 Comments: 0

Question Number 160136 Answers: 1 Comments: 0

1+4+((16)/2)+((64)/6)+...+(4^n /(n!))=?

$1 + 4 + \frac{16}{2} + \frac{64}{6} + . . . + \frac{4^{n}}{n!} = ?$

Question Number 159817 Answers: 0 Comments: 0

Question Number 158862 Answers: 1 Comments: 0

Question Number 158805 Answers: 0 Comments: 0

(1)F(x)= x^3 [ x ] ⇒ { ((F ′(0)=?)),((F ′(1)=?)) :} (2) F(x)= [ x ]−∣x∣ ⇒F ′(−(5/2))=? where [ ] : floor function ∣ ∣ absolute function

$(1) F (x) = x^{3} [x] \Rightarrow {\begin{cases} F^{'} (0) = ? \\ F^{'} (1) = ? \end{cases}$ $(2) F (x) = [x] - ∣ x ∣ \Rightarrow F^{'} (- \frac{5}{2}) = ?$ $w h e r e [] : f l o o r f u n c t i o n$ $∣ ∣ a b s o l u t e f u n c t i o n$

Question Number 158668 Answers: 1 Comments: 0

f(f(x))= (9x^2 +6x+2)f(x) f(x)=?

$f (f (x)) = (9 x^{2} + 6 x + 2) f (x)$ $f (x) = ?$

Question Number 158334 Answers: 1 Comments: 3

lim_(x→∞) (1/x)Σ_(r=1) ^x cos(((rπ)/(2x))) x∈N

$\lim_{x \to \infty} \frac{1}{x} \underset{r = 1}{\sum^{x}} c o s (\frac{r π}{2 x})$ $x \in N$

Question Number 158306 Answers: 0 Comments: 3

Question Number 158166 Answers: 0 Comments: 1

If f((x/3))=((f(x))/2) and f(1−x)=1−f(x). find f(((173)/(1993))).

$I f f (\frac{x}{3}) = \frac{f (x)}{2} a n d f (1 - x) = 1 - f (x) .$ $f i n d f (\frac{173}{1993}) .$

Question Number 156793 Answers: 1 Comments: 0

∫_0 ^( (π/2)) ((sin2x)/(2−sin^2 2x))dx

$\int_{0}^{\frac{π}{2}} \frac{s i n 2 x}{2 - {s i n}^{2} 2 x} d x$

Question Number 156647 Answers: 0 Comments: 0

Question Number 155809 Answers: 1 Comments: 0

Given that f○g = (x^2 /(2x^2 − x + 4)) and g(x) = (x/(x − 2)), find f(x) ?

$Given that f \circ g = \frac{x^{2}}{2 x^{2} - x + 4} and$ $g (x) = \frac{x}{x - 2}, find f (x) ?$

Question Number 154668 Answers: 1 Comments: 2

If f(x)=f(x−1)+f(x+1) where f(10)=6 and f(20)=2f(21) then f(16)=…?

$I f f (x) = f (x - 1) + f (x + 1) w h e r e$ $f (10) = 6 a n d f (20) = 2 f (21)$ $t h e n f (16) = \dots ?$

Question Number 154553 Answers: 0 Comments: 0

Π_(n=1) ^∞ (( Γ(n+ (1/n^2 )) )/( Γ(n+ (1/n)) ))

$\underset{n = 1}{\prod^{\infty}} \frac{Γ (n + \frac{1}{n^{2}})}{Γ (n + \frac{1}{n})}$

Question Number 154467 Answers: 1 Comments: 0

Π_(n=1) ^∞ (((1+ (1/n))^(1/2) )/(1+ (1/(2n))))

$\underset{n = 1}{\prod^{\infty}} \frac{{(1 + \frac{1}{n})}^{\frac{1}{2}}}{1 + \frac{1}{2 n}}$

Question Number 154441 Answers: 1 Comments: 1

Π_(n=1) ^∞ (( (1+ (1/n))^2 )/( 1+ (2/n) ))

$\underset{n = 1}{\prod^{\infty}} \frac{{(1 + \frac{1}{n})}^{2}}{1 + \frac{2}{n}}$

Question Number 153915 Answers: 1 Comments: 0

Question Number 153679 Answers: 1 Comments: 0

Find the constant of polynom P(11x−2) if given the equation 3P(x+2)−P(2x+3)=−4x^2 −x+3

$F i n d t h e c o n s t a n t o f p o l y n o m$ $P (11 x - 2) i f g i v e n t h e e q u a t i o n$ $3 P (x + 2) - P (2 x + 3) = - 4 x^{2} - x + 3$

Question Number 152799 Answers: 1 Comments: 1

Given that f○g = (x^2 /(2x^2 − x + 4)) and g(x) = (x/(x − 2)), find f(x).

$Given that f \circ g = \frac{x^{2}}{2 x^{2} - x + 4} and$ $g (x) = \frac{x}{x - 2}, find f (x) .$

Question Number 152769 Answers: 1 Comments: 1

Question Number 152671 Answers: 3 Comments: 2

Question Number 152151 Answers: 3 Comments: 0

Question Number 151897 Answers: 1 Comments: 0

Question Number 151863 Answers: 2 Comments: 0

lim_(x−0) ((1−Π_(k=1) ^n cos(kx))/x^2 )=????

$l i \underset{x - 0}{m} \frac{1 - \underset{k = 1}{\prod^{n}} c o s (k x)}{x^{2}} = ? ? ? ?$

Question Number 151859 Answers: 0 Comments: 2

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