Question and Answers Forum

AllQuestion and Answers: Page 115

Question Number 204617 Answers: 0 Comments: 1

Question Number 204615 Answers: 0 Comments: 2

((exercice )/) prouver ∫_0 ^𝛑 ∫_0 ^x sin((x^2 /𝛑))dxdy=𝛑 ...............prof cedric junior...........

$\frac{exercice}{}$ $prouver \int_{0}^{π} \int_{0}^{x} s i n (\frac{x^{2}}{π}) d x d y = π$ $. . . . . . . . . . . . . . . p r o f c e d r i c j u n i o r . . . . . . . . . . .$

Question Number 204610 Answers: 1 Comments: 0

If , f(x) = { (( 2^(2x) − log_3 ( x+3 ) ; x ≥5)),(( f (1+ x ) −4 ; x < 5)) :} ⇒ f (0 )= ?

$I f, f (x) = {\begin{cases} 2^{2 x} - {l o g}_{3} (x + 3); x ⩾ 5 \\ f (1 + x) - 4; x < 5 \end{cases}$ $\Rightarrow f (0) = ?$

Question Number 204603 Answers: 0 Comments: 4

Question Number 204598 Answers: 1 Comments: 2

∫((x−x^2 ))^(1/3) dx

$\int \sqrt[3]{x - x^{2}} dx$

Question Number 204595 Answers: 1 Comments: 0

f(x) = x^3 − 16x^2 − 57x +1 f(a)= 0 f(b)=0 f(c)=0 (a)^(1/5) + ((b ))^(1/5) + ((c ))^(1/5) = ?

$f (x) = x^{3} - 16 x^{2} - 57 x + 1$ $f (a) = 0 f (b) = 0 f (c) = 0$ $\sqrt[5]{a} + \sqrt[5]{b} + \sqrt[5]{c} = ?$

Question Number 204590 Answers: 1 Comments: 0

Question Number 204583 Answers: 1 Comments: 0

For z = a − bi If (∣z∣ − z)∙(∣z∣ + z^(−) ) = 4bi Find ∣z∣ = ?

$For z = a - bi$ $If (∣ z ∣ - z) \cdot (∣ z ∣ + \overset{―}{z}) = 4 bi$ $Find ∣ z ∣ = ?$

Question Number 204573 Answers: 0 Comments: 3

How Can derive LambertW(z) in the Form of integral??? W(z)=(1/π)∫_0 ^( π) ln(1+((z∙sin(t))/t)e^(t∙cot(t)) )dt , z∈[−(1/e),∞) Or Similar to the example.LambertW(z) How other Functions can be Derived in Integral Form

$How Can derive LambertW (z) in the$ $Form of integral ? ? ?$ $W (z) = \frac{1}{π} \int_{0}^{π} \ln (1 + \frac{z \cdot \sin (t)}{t} e^{t \cdot \cot (t)}) d t, z \in [- \frac{1}{e}, \infty)$ $Or Similar to the example . LambertW (z)$ $How other Functions can be Derived in Integral Form$

Question Number 204569 Answers: 1 Comments: 0

find the value of I=∫_0 ^(+∞) ln(1+e^(−x) )dx nowing that Σ_(n=1) ^(+∞) (1/n^2 )=(π^2 /6)

$f i n d t h e v a l u e o f$ $I = \int_{0}^{+ \infty} l n (1 + e^{- x}) d x n o w i n g t h a t$ $\underset{n = 1}{\sum^{+ \infty}} \frac{1}{n^{2}} = \frac{π^{2}}{6}$

Question Number 204568 Answers: 1 Comments: 0

how to convert 31230 in base 60? pls help

$h o w t o c o n v e r t 31230 i n b a s e 60 ?$ $p l s h e l p$

Question Number 204574 Answers: 2 Comments: 0

lim_(n→∞) n^(−3/2) [(n+1)^((n+1)) (n+2)^((n+2)) ...(2n)^(2n) ]^(1/n^2 ) = ?

$\lim_{n \to \infty} n^{- 3 / 2} {[{(n + 1)}^{(n + 1)} {(n + 2)}^{(n + 2)} . . . {(2 n)}^{2 n}]}^{1 / n^{2}} = ?$

Question Number 204560 Answers: 2 Comments: 1

Question Number 204558 Answers: 0 Comments: 0

lim_(n→∞) n^(−3/2) [(n+1)^((n+1)) (n+2)^((n+2)) ...(2n)^(2n) ]^(1/n^2 ) = ?

$\lim_{n \to \infty} n^{- 3 / 2} {[{(n + 1)}^{(n + 1)} {(n + 2)}^{(n + 2)} . . . {(2 n)}^{2 n}]}^{1 / n^{2}} = ?$

Question Number 204545 Answers: 2 Comments: 0

If a = (1/2^2 ) + (1/3^2 ) + ... + (1/(100^2 )) b = 0,99 Prove that: a < b

$If$ $a = \frac{1}{2^{2}} + \frac{1}{3^{2}} + . . . + \frac{1}{100^{2}}$ $b = 0, 99$ $Prove that :$ $a < b$

Question Number 204541 Answers: 0 Comments: 4

In a regular pentagon PQRST , PR intersects QS at O. Calculate ROS?

$I n a r e g u l a r p e n t a g o n P Q R S T, P R$ $i n t e r s e c t s Q S a t O . C a l c u l a t e R O S ?$

Question Number 204533 Answers: 1 Comments: 0

Question Number 204522 Answers: 1 Comments: 3

Question Number 204521 Answers: 1 Comments: 1

Question Number 204517 Answers: 2 Comments: 0

Question Number 204518 Answers: 1 Comments: 0

Question Number 204512 Answers: 2 Comments: 0

solve for x∈C 3^(2ix) −3^(ix) 2+5=0

$solve for x \in C$ $3^{2 i x} - 3^{i x} 2 + 5 = 0$

Question Number 204511 Answers: 1 Comments: 0

solve for x x^2 −10⌊x⌋+((57)/4)=0

$solve for x$ $x^{2} - 10 ⌊ x ⌋ + \frac{57}{4} = 0$

Question Number 204510 Answers: 1 Comments: 0

solve for x≠y∧y≠z∧z≠x (exact solutions required) (√((−3+4i)x))=y (√((−3+4i)y))=z (√((−3+4i)z))=x

$solve for x \neq y \land y \neq z \land z \neq x$ $(exact solutions required)$ $\sqrt{(- 3 + 4 i) x} = y$ $\sqrt{(- 3 + 4 i) y} = z$ $\sqrt{(- 3 + 4 i) z} = x$

Question Number 204509 Answers: 0 Comments: 0

Question Number 204544 Answers: 1 Comments: 0

Prove that: (1/3^3 ) + (1/4^3 ) + ... + (1/n^3 ) < (1/(12))

$Prove that :$ $\frac{1}{3^{3}} + \frac{1}{4^{3}} + . . . + \frac{1}{n^{3}} < \frac{1}{12}$

Pg 110 Pg 111 Pg 112 Pg 113 Pg 114 Pg 115 Pg 116 Pg 117 Pg 118 Pg 119

Contact: info@tinkutara.com