Question and Answers Forum

AllQuestion and Answers: Page 130

Question Number 209832 Answers: 0 Comments: 0

Question Number 209514 Answers: 1 Comments: 0

If Σ a_n is absolutely convergent, prove that Σ (a_n /n) is also absolutely convergent.

$$\mathrm{If}\:\Sigma\:{a}_{{n}} \:\mathrm{is}\:\mathrm{absolutely}\:\mathrm{convergent},\:\mathrm{prove}\:\mathrm{that} \\ $$$$\Sigma\:\frac{{a}_{{n}} }{{n}}\:\mathrm{is}\:\mathrm{also}\:\mathrm{absolutely}\:\mathrm{convergent}. \\ $$

Question Number 209510 Answers: 0 Comments: 0

three points are randomly selected on a circle to form a triangle. 1) find the probability that the center of the circle lies inside the triangle. 2) find the probability that the triangle is an acute triangle.

$${three}\:{points}\:{are}\:{randomly}\:{selected} \\ $$$${on}\:{a}\:{circle}\:{to}\:{form}\:{a}\:{triangle}.\: \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{probability}\:{that}\:{the}\:{center} \\ $$$${of}\:{the}\:{circle}\:{lies}\:{inside}\:{the}\:{triangle}. \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{probability}\:{that}\:{the}\: \\ $$$${triangle}\:{is}\:{an}\:{acute}\:{triangle}. \\ $$

Question Number 209506 Answers: 0 Comments: 2

Question Number 209495 Answers: 1 Comments: 1

Question Number 209484 Answers: 0 Comments: 0

∫_e^x ^e^2 ((1/(2+ln t)) )dt =?

$$\:\:\:\:\:\:\:\underset{\mathrm{e}^{\mathrm{x}} } {\overset{\mathrm{e}^{\mathrm{2}} } {\int}}\:\left(\frac{\mathrm{1}}{\mathrm{2}+\mathrm{ln}\:\mathrm{t}}\:\right)\mathrm{dt}\:=? \\ $$

Question Number 209474 Answers: 2 Comments: 1

Question Number 209465 Answers: 1 Comments: 0

Question Number 209460 Answers: 0 Comments: 0

Question Number 209458 Answers: 0 Comments: 3

Question Number 209456 Answers: 2 Comments: 0

Question Number 209455 Answers: 1 Comments: 0

Question Number 209453 Answers: 2 Comments: 1

Question Number 209452 Answers: 2 Comments: 0

Question Number 209450 Answers: 1 Comments: 0

Question Number 209436 Answers: 1 Comments: 2

{ ((x + y + z = 1)),((42x + 44y + 30z = 42)) :} (x,y,z)=(1,0,0) yes, but solution...

$$\begin{cases}{\mathrm{x}\:+\:\mathrm{y}\:+\:\mathrm{z}\:=\:\mathrm{1}}\\{\mathrm{42x}\:+\:\mathrm{44y}\:+\:\mathrm{30z}\:=\:\mathrm{42}}\end{cases} \\ $$$$\left(\mathrm{x},\mathrm{y},\mathrm{z}\right)=\left(\mathrm{1},\mathrm{0},\mathrm{0}\right)\:\mathrm{yes},\:\mathrm{but}\:\mathrm{solution}... \\ $$

Question Number 209434 Answers: 0 Comments: 5

Help

$${Help} \\ $$

Question Number 209433 Answers: 1 Comments: 0

Question Number 209432 Answers: 1 Comments: 0

A body is projected vertically upwards with a speed of 20m/s. Find the time in seconds when the body is 15m above it point of projection. g= 10m/s²

Question Number 209430 Answers: 1 Comments: 0

Question Number 209415 Answers: 1 Comments: 1

Question Number 209404 Answers: 2 Comments: 0

Question Number 209398 Answers: 1 Comments: 0

Is it possible to determine the points A(x_1 , y_1 ) and B(x_2 , y_2 ) knowing that the distance between them is 2(√(29))?

$$\mathrm{Is}\:\mathrm{it}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{determine}\:\mathrm{the}\:\mathrm{points}\:\mathrm{A}\left(\mathrm{x}_{\mathrm{1}} ,\:\mathrm{y}_{\mathrm{1}} \right)\:\mathrm{and} \\ $$$$\mathrm{B}\left(\mathrm{x}_{\mathrm{2}} ,\:\mathrm{y}_{\mathrm{2}} \right)\:\mathrm{knowing}\:\mathrm{that}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{them}\:\mathrm{is} \\ $$$$\mathrm{2}\sqrt{\mathrm{29}}? \\ $$

Question Number 209393 Answers: 1 Comments: 3

∫_0 ^(π/2) ((ln(tanx))/(1+tanx))dx

$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{ln}\left({tanx}\right)}{\mathrm{1}+{tanx}}{dx} \\ $$

Question Number 209389 Answers: 0 Comments: 1

Cercle C de rayon R=5 petits cercles de meme rayon r Determiner Surface (ABCDEF)?

$$\mathrm{Cercle}\:\mathrm{C}\:\:\:\mathrm{de}\:\mathrm{rayon}\:\boldsymbol{\mathrm{R}}=\mathrm{5} \\ $$$$\mathrm{petits}\:\mathrm{cercles}\:\mathrm{de}\:\mathrm{meme}\:\mathrm{rayon}\:\boldsymbol{\mathrm{r}} \\ $$$$\mathrm{Determiner}\:\mathrm{Surface}\:\left(\boldsymbol{\mathrm{ABCDEF}}\right)? \\ $$

Question Number 209385 Answers: 1 Comments: 0

Pg 125 Pg 126 Pg 127 Pg 128 Pg 129 Pg 130 Pg 131 Pg 132 Pg 133 Pg 134

Contact: info@tinkutara.com