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Question Number 102652 Answers: 0 Comments: 2

2+18+156+1388+...n terms

$$\mathrm{2}+\mathrm{18}+\mathrm{156}+\mathrm{1388}+...{n}\:{terms} \\ $$

Question Number 102651 Answers: 0 Comments: 1

12+14+24+58+164....upto nth terms

$$\mathrm{12}+\mathrm{14}+\mathrm{24}+\mathrm{58}+\mathrm{164}....\mathrm{upto}\:\mathrm{nth}\:\mathrm{terms} \\ $$

Question Number 102644 Answers: 2 Comments: 0

Question Number 102642 Answers: 2 Comments: 0

Question Number 102639 Answers: 1 Comments: 0

(dy/dx) −2xy = 6y e^y^2

$$\frac{{dy}}{{dx}}\:−\mathrm{2}{xy}\:=\:\mathrm{6}{y}\:{e}^{{y}^{\mathrm{2}} } \\ $$

Question Number 102638 Answers: 1 Comments: 6

to Mr W i forgot the formula to find the area of a triangle by using the three height line

$${to}\:{Mr}\:{W} \\ $$$${i}\:{forgot}\:{the}\:{formula}\:{to}\:{find} \\ $$$${the}\:{area}\:{of}\:{a}\:{triangle}\:{by} \\ $$$${using}\:{the}\:{three}\:{height}\:{line} \\ $$

Question Number 102635 Answers: 2 Comments: 0

Question Number 102627 Answers: 3 Comments: 0

show that: cosθ + cos2θ + ....cos nθ= ((cos (1/2)(n +1)θ sin(1/2)nθ)/(sin (1/2)nθ)) Show that: sin θ + sin 2θ + ....+ sin nθ = ((sin (1/2)(n + 1)θ sin(1/2)nθ)/(sin (1/2)nθ)) where θ ∈ R and θ ≠2πk , k ∈Z

$$\mathrm{show}\:\mathrm{that}:\:\mathrm{cos}\theta\:+\:\mathrm{cos2}\theta\:+\:....\mathrm{cos}\:{n}\theta=\:\frac{\mathrm{cos}\:\frac{\mathrm{1}}{\mathrm{2}}\left({n}\:+\mathrm{1}\right)\theta\:\mathrm{sin}\frac{\mathrm{1}}{\mathrm{2}}{n}\theta}{\mathrm{sin}\:\frac{\mathrm{1}}{\mathrm{2}}{n}\theta} \\ $$$$\mathrm{Show}\:\mathrm{that}:\:\mathrm{sin}\:\theta\:+\:\mathrm{sin}\:\mathrm{2}\theta\:+\:....+\:\mathrm{sin}\:{n}\theta\:=\:\frac{\mathrm{sin}\:\frac{\mathrm{1}}{\mathrm{2}}\left({n}\:+\:\mathrm{1}\right)\theta\:\mathrm{sin}\frac{\mathrm{1}}{\mathrm{2}}{n}\theta}{\mathrm{sin}\:\frac{\mathrm{1}}{\mathrm{2}}{n}\theta} \\ $$$$\mathrm{where}\:\theta\:\in\:\mathbb{R}\:\mathrm{and}\:\theta\:\neq\mathrm{2}\pi{k}\:,\:{k}\:\in\mathbb{Z} \\ $$$$ \\ $$

Question Number 102624 Answers: 1 Comments: 4

v2.095 has been uploaded. Changes: Go To: opens in a pop window Drawing: Fix for drawing tool not usable in some countries. Uploaded to playstore.

$$\mathrm{v2}.\mathrm{095}\:\mathrm{has}\:\mathrm{been}\:\mathrm{uploaded}. \\ $$$$\boldsymbol{\mathrm{Changes}}: \\ $$$$\mathrm{Go}\:\mathrm{To}:\:\mathrm{opens}\:\mathrm{in}\:\mathrm{a}\:\mathrm{pop}\:\mathrm{window} \\ $$$$\mathrm{Drawing}:\:\mathrm{Fix}\:\mathrm{for}\:\mathrm{drawing}\:\mathrm{tool}\:\mathrm{not}\:\mathrm{usable} \\ $$$$\mathrm{in}\:\mathrm{some}\:\mathrm{countries}.\: \\ $$$$\mathrm{Uploaded}\:\mathrm{to}\:\mathrm{playstore}. \\ $$

Question Number 102606 Answers: 2 Comments: 1

what is the volume of region bounded by y =x^2 −2x and y=x that is rotated about y=4 ?

$${what}\:{is}\:{the}\:{volume}\:{of}\:{region} \\ $$$${bounded}\:{by}\:{y}\:={x}^{\mathrm{2}} −\mathrm{2}{x}\:{and} \\ $$$${y}={x}\:{that}\:{is}\:{rotated}\:{about} \\ $$$${y}=\mathrm{4}\:? \\ $$

Question Number 102600 Answers: 0 Comments: 0

Question Number 102598 Answers: 2 Comments: 0

Question Number 102588 Answers: 4 Comments: 3

solve 109x +103y = 5 for x,y are integer

$${solve}\:\mathrm{109}{x}\:+\mathrm{103}{y}\:=\:\mathrm{5}\:{for}\:{x},{y}\:{are}\:{integer} \\ $$

Question Number 102581 Answers: 4 Comments: 0

If x+iy = 3+2xi . find y

$${If}\:{x}+{iy}\:=\:\mathrm{3}+\mathrm{2}{xi}\: \\ $$$$.\:{find}\:{y} \\ $$

Question Number 102587 Answers: 2 Comments: 1

Prove that cot7.5°=(√2)+(√3)+(√4)+(√6)

$$\mathrm{Prove}\:\mathrm{that} \\ $$$$\mathrm{cot7}.\mathrm{5}°=\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}+\sqrt{\mathrm{4}}+\sqrt{\mathrm{6}} \\ $$

Question Number 102576 Answers: 2 Comments: 0

let A_1 A_2 ...A_n a regular polygon of n sides with length l each, let X a point such that A_1 X=x∙l where 0<x<1 (as shown) what is the length of the shortest path begins fromX touching all sides once and ends at X (there′s a problem shape can′t be loaded)

$${let}\:{A}_{\mathrm{1}} {A}_{\mathrm{2}} ...{A}_{{n}} \:\:{a}\:{regular}\:{polygon}\:{of}\:{n}\:{sides} \\ $$$${with}\:{length}\:{l}\:{each},\:{let}\:{X}\:{a}\:{point}\:{such} \\ $$$${that}\:{A}_{\mathrm{1}} {X}={x}\centerdot{l}\:{where}\:\mathrm{0}<{x}<\mathrm{1}\:\left({as}\:{shown}\right) \\ $$$${what}\:{is}\:{the}\:{length}\:{of}\:{the}\:{shortest}\:{path} \\ $$$${begins}\:{fromX}\:{touching}\:{all}\:{sides}\:{once} \\ $$$${and}\:{ends}\:{at}\:{X} \\ $$$$\left({there}'{s}\:{a}\:{problem}\:{shape}\:{can}'{t}\:{be}\:{loaded}\right) \\ $$

Question Number 102572 Answers: 0 Comments: 6

App updates: Version 2.094 has been uploaded to playstore: Enhancements: • paste plain text • Auto wrapping of lines (settings) • New construct as shown below. strike thru underline underbrace font size for selected text page breaks to split images These new constructs are disabled while posting in forum to allow all users time to update app Any issues you can report by email, telegram or as a comment to this post.

Question Number 102553 Answers: 1 Comments: 3