Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 1241

Question Number 88413 Answers: 0 Comments: 3

∫_0 ^∞ e^(−x^2 ) dx

$$\int_{\mathrm{0}} ^{\infty} \:\mathrm{e}^{−\mathrm{x}^{\mathrm{2}} } \mathrm{dx} \\ $$$$ \\ $$

Question Number 88388 Answers: 1 Comments: 0

Question Number 88385 Answers: 0 Comments: 0

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

$${if}\:\:\:{f}\left({x}\right)=\sqrt{{x}−\mathrm{2}} \\ $$$${is}\:{there}\:{cirtical}\:{point}\:{in}\:\left(\mathrm{2},\mathrm{0}\right)\: \\ $$$$ \\ $$

Question Number 88378 Answers: 1 Comments: 4

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

$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{a}\:\mathrm{parabola}\:\mathrm{with}\:\mathrm{focus}\:\left(\mathrm{3},\mathrm{3}\right) \\ $$$$\mathrm{and}\:\mathrm{directrix}\:\:{y}\:=\:\mathrm{0} \\ $$

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=?

$${There}\:{are}\:{four}\:{boxes},\:{each}\:{of}\:{them} \\ $$$${contains}\:{exactly}\:{the}\:{same}\:{numbers}: \\ $$$$\mathrm{1},\mathrm{2},\mathrm{3},...,{n}. \\ $$$${Four}\:{different}\:{numbers}\:{are}\:{drawn} \\ $$$${from}\:{the}\:{boxes}\:{and}\:{multiplicated} \\ $$$${with}\:{each}\:{other}\:{to}\:{get}\:{a}\:{product}. \\ $$$${What}'{s}\:{the}\:{sum}\:{of}\:{all}\:{products}? \\ $$$$\underset{{a}\neq{b}\neq{c}\neq{d}} {\sum}{abcd}=? \\ $$

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 )) )×...=?

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

Question Number 88357 Answers: 0 Comments: 1

∫ _1 ^4 (dx/((4x−1)(√x)))

$$\int\underset{\mathrm{1}} {\overset{\mathrm{4}} {\:}}\:\frac{\mathrm{dx}}{\left(\mathrm{4x}−\mathrm{1}\right)\sqrt{\mathrm{x}}} \\ $$

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 = ?

$$\:\int\left(\:\sqrt{\mathrm{tan}\:{x}\:}\:+\:\sqrt{\mathrm{cot}\:{x}}\:\right){dx}\:=\:? \\ $$

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)

$$\left(\:{a},{b}\:\right){are}\:{complex}\:{numbers}\:{and}\:{a}^{\mathrm{2}} +{ab}+{b}^{\mathrm{2}} =\mathrm{0} \\ $$$${find}\:\left(\frac{{a}}{{a}+{b}}\right)^{\mathrm{2020}} +\left(\frac{{b}}{{a}+{b}}\right)^{\mathrm{2020}} \\ $$$$ \\ $$

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.

$${A}\:{circle}\:{touches}\:{the}\:{four}\:{sides} \\ $$$${of}\:{quadrilateral}\:{ABCD}.\:\mathrm{Show}/\mathrm{prove} \\ $$$$\mathrm{that}\:\mathrm{A}{B}+{CD}={BC}+{DA}. \\ $$$$\mathrm{Please}\:\mathrm{help}. \\ $$

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.

Question Number 88307 Answers: 1 Comments: 0

∫(x^2 /(x^2 −(5/2)x−(3/2))) dx

$$\int\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{2}} −\frac{\mathrm{5}}{\mathrm{2}}{x}−\frac{\mathrm{3}}{\mathrm{2}}}\:{dx} \\ $$

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

$${prove}\:{that}\: \\ $$$$\mid\frac{{e}^{{z}} −{e}^{−{z}} }{\mathrm{2}}\mid^{\mathrm{2}} +{cos}^{\mathrm{2}} {y}={sinh}^{\mathrm{2}} {x}\:\:\:\:\:{when}\:{z}={x}+{iy} \\ $$$$ \\ $$

Question Number 88261 Answers: 1 Comments: 0

Pg 1236 Pg 1237 Pg 1238 Pg 1239 Pg 1240 Pg 1241 Pg 1242 Pg 1243 Pg 1244 Pg 1245

Contact: info@tinkutara.com