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Question Number 88385 Answers: 0 Comments: 0

if f(x)=(√(x−2)) is there cirtical point in (2,0)

$i f f (x) = \sqrt{x - 2}$ $i s t h e r e c i r t i c a l p o i n t i n (2, 0)$

Question Number 88378 Answers: 1 Comments: 4

find the equation of a parabola with focus (3,3) and directrix y = 0

$find the equation of a parabola with focus (3, 3)$ $and directrix y = 0$

Question Number 88372 Answers: 0 Comments: 10

There are four boxes, each of them contains exactly the same numbers: 1,2,3,...,n. Four different numbers are drawn from the boxes and multiplicated with each other to get a product. What′s the sum of all products? Σ_(a≠b≠c≠d) abcd=?

$T h e r e a r e f o u r b o x e s, e a c h o f t h e m$ $c o n t a i n s e x a c t l y t h e s a m e n u m b e r s :$ $1, 2, 3, . . ., n .$ $F o u r d i f f e r e n t n u m b e r s a r e d r a w n$ $f r o m t h e b o x e s a n d m u l t i p l i c a t e d$ $w i t h e a c h o t h e r t o g e t a p r o d u c t .$ ${W h a t}^{'} s t h e s u m o f a l l p r o d u c t s ?$ $\sum_{a \neq b \neq c \neq d} a b c d = ?$

Question Number 88364 Answers: 1 Comments: 0

Question Number 88360 Answers: 0 Comments: 2

(e/(√e)) × ((e)^(1/(3 )) /(e)^(1/(4 )) ) × ((e)^(1/(5 )) /(e)^(1/(6 )) ) × ((e)^(1/(7 )) /(e)^(1/(8 )) )×...=?

$\frac{e}{\sqrt{e}} \times \frac{\sqrt[3]{e}}{\sqrt[4]{e}} \times \frac{\sqrt[5]{e}}{\sqrt[6]{e}} \times \frac{\sqrt[7]{e}}{\sqrt[8]{e}} \times . . . = ?$

Question Number 88357 Answers: 0 Comments: 1

∫ _1 ^4 (dx/((4x−1)(√x)))

$\int \underset{1}{\overset{4}{}} \frac{dx}{(4 x - 1) \sqrt{x}}$

Question Number 88352 Answers: 1 Comments: 1

Question Number 88349 Answers: 1 Comments: 1

Question Number 88339 Answers: 3 Comments: 3

∫( (√(tan x )) + (√(cot x)) )dx = ?

$\int (\sqrt{\tan x} + \sqrt{\cot x}) d x = ?$

Question Number 88329 Answers: 0 Comments: 4

Question Number 88332 Answers: 0 Comments: 0

Question Number 88314 Answers: 2 Comments: 1

( a,b )are complex numbers and a^2 +ab+b^2 =0 find ((a/(a+b)))^(2020) +((b/(a+b)))^(2020)

$(a, b) a r e c o m p l e x n u m b e r s a n d a^{2} + a b + b^{2} = 0$ $f i n d {(\frac{a}{a + b})}^{2020} + {(\frac{b}{a + b})}^{2020}$

Question Number 88310 Answers: 1 Comments: 1

Question Number 88306 Answers: 0 Comments: 5

Question Number 88301 Answers: 0 Comments: 2

A circle touches the four sides of quadrilateral ABCD. Show/prove that AB+CD=BC+DA. Please help.

$A c i r c l e t o u c h e s t h e f o u r s i d e s$ $o f q u a d r i l a t e r a l A B C D . Show / prove$ $that A B + C D = B C + D A .$ $Please help .$

Question Number 88300 Answers: 0 Comments: 0

A circle touches the four sides of quadrilateral ABCD. Show/prove that AB+CD=BC+DA. Please help.

$A c i r c l e t o u c h e s t h e f o u r s i d e s$ $o f q u a d r i l a t e r a l A B C D . Show / prove$ $that A B + C D = B C + D A .$ $Please help .$

Question Number 88307 Answers: 1 Comments: 0

∫(x^2 /(x^2 −(5/2)x−(3/2))) dx

$\int \frac{x^{2}}{x^{2} - \frac{5}{2} x - \frac{3}{2}} d x$

Question Number 88289 Answers: 0 Comments: 5

Question Number 88288 Answers: 1 Comments: 1

Question Number 88286 Answers: 0 Comments: 1

Question Number 88272 Answers: 1 Comments: 1

Question Number 88270 Answers: 0 Comments: 1

Question Number 88263 Answers: 1 Comments: 1

prove that ∣((e^z −e^(−z) )/2)∣^2 +cos^2 y=sinh^2 x when z=x+iy

$p r o v e t h a t$ $∣ \frac{e^{z} - e^{- z}}{2} ∣^{2} + {c o s}^{2} y = {s i n h}^{2} x w h e n z = x + i y$

Question Number 88261 Answers: 1 Comments: 0

Question Number 88253 Answers: 0 Comments: 0

∫ ((ln(x^2 +1) dx)/(x+1))

$\int \frac{\ln (x^{2} + 1) d x}{x + 1}$

Question Number 88252 Answers: 0 Comments: 0

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