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Question Number 36853    Answers: 0   Comments: 2

Find the laplace of L{((e^(−at) − e^(−bt) )/t)}

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{laplace}\:\mathrm{of}\:\:\:\:\:\mathrm{L}\left\{\frac{\mathrm{e}^{−\mathrm{at}} \:−\:\mathrm{e}^{−\mathrm{bt}} }{\mathrm{t}}\right\} \\ $$

Question Number 36837    Answers: 1   Comments: 1

Σ_(r=0) ^∞ 2^(4r−2)

$$\underset{{r}=\mathrm{0}} {\overset{\infty} {\sum}}\mathrm{2}^{\mathrm{4}{r}−\mathrm{2}} \: \\ $$

Question Number 36814    Answers: 1   Comments: 0

now the way is clear, also try this one: ∫((cos x)/(sin^2 x (√(sin 2x))))dx

$$\mathrm{now}\:\mathrm{the}\:\mathrm{way}\:\mathrm{is}\:\mathrm{clear},\:\mathrm{also}\:\mathrm{try}\:\mathrm{this}\:\mathrm{one}: \\ $$$$\int\frac{\mathrm{cos}\:{x}}{\mathrm{sin}^{\mathrm{2}} \:{x}\:\sqrt{\mathrm{sin}\:\mathrm{2}{x}}}{dx} \\ $$

Question Number 36771    Answers: 0   Comments: 3

i have a suggestion...pls request members of the forum to post four to five question so that we get time to solve them...there is flood of questions...so little time to see all post pls give comment if you agree wkth it...

$${i}\:{have}\:{a}\:{suggestion}...{pls}\:{request}\:{members} \\ $$$${of}\:{the}\:{forum}\:{to}\:{post}\:{four}\:{to}\:{five}\:{question} \\ $$$${so}\:{that}\:{we}\:{get}\:{time}\:{to}\:{solve}\:{them}...{there}\:{is}\: \\ $$$${flood}\:{of}\:{questions}...{so}\:{little}\:{time}\:{to}\:{see}\:{all}\:{post} \\ $$$${pls}\:{give}\:{comment}\:{if}\:{you}\:{agree}\:{wkth}\:{it}... \\ $$

Question Number 36739    Answers: 0   Comments: 3

If x = a(1 − cosθ)i + asinθ j find the resultant of x in its simplest form.

$$\mathrm{If}\:\:\:\mathrm{x}\:=\:\mathrm{a}\left(\mathrm{1}\:−\:\mathrm{cos}\theta\right)\mathrm{i}\:\:+\:\:\mathrm{asin}\theta\:\mathrm{j} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{resultant}\:\mathrm{of}\:\mathrm{x}\:\mathrm{in}\:\mathrm{its}\:\mathrm{simplest}\:\mathrm{form}. \\ $$

Question Number 36775    Answers: 0   Comments: 0

find the interval of convergence of Σ_(n=1) ^(+∞) (((x−2)^2 )/n)

$$\:{find}\:{the}\:{interval}\:{of}\:{convergence} \\ $$$$\:{of}\:\:\:\underset{{n}=\mathrm{1}} {\overset{+\infty} {\sum}}\frac{\left({x}−\mathrm{2}\right)^{\mathrm{2}} }{{n}} \\ $$

Question Number 36711    Answers: 0   Comments: 0

The first term in an AP is the 3rd term in A GP , the 5th term is 30 for the AP, and the 12th term of the GP is 64,find the sum to infinity.

$$\:\:{The}\:\:{first}\:{term}\:{in}\:{an}\:{AP}\:{is}\:{the}\: \\ $$$$\mathrm{3}{rd}\:{term}\:{in}\:{A}\:{GP}\:,\:{the}\:\mathrm{5}{th}\:{term}\:{is} \\ $$$$\mathrm{30}\:{for}\:{the}\:{AP},\:{and}\:{the}\:\mathrm{12}{th}\:{term} \\ $$$${of}\:{the}\:{GP}\:{is}\:\mathrm{64},{find}\:{the}\:{sum}\:{to} \\ $$$${infinity}. \\ $$

Question Number 36714    Answers: 0   Comments: 0

Given the matrix (((3c+1 5 )),((c c)) ) is singular find the value of c and find x if y = mx + c are all natural numbers

$${Given}\:{the}\:{matrix} \\ $$$$\begin{pmatrix}{\mathrm{3}{c}+\mathrm{1}\:\:\:\:\:\:\:\:\mathrm{5}\:}\\{{c}\:\:\:\:\:\:\:\:\:\:\:\:\:\:{c}}\end{pmatrix}\:{is}\:{singular}\: \\ $$$${find}\:{the}\:{value}\:{of}\:{c}\:{and}\: \\ $$$${find}\:{x}\:{if}\:{y}\:=\:{mx}\:+\:{c}\:{are}\:{all} \\ $$$${natural}\:{numbers} \\ $$$$ \\ $$

Question Number 36703    Answers: 2   Comments: 2

show that f(x)=sin X is derivable at every aεR

$${show}\:{that}\:{f}\left({x}\right)=\mathrm{sin}\:{X}\:{is}\:{derivable}\:{at}\:{every}\:{a}\varepsilon{R} \\ $$

Question Number 36634    Answers: 0   Comments: 5

Question Number 36630    Answers: 0   Comments: 1

Question Number 36629    Answers: 0   Comments: 0

Question Number 36626    Answers: 0   Comments: 1

Question Number 36625    Answers: 0   Comments: 0

Question Number 36623    Answers: 0   Comments: 0

Question Number 36622    Answers: 0   Comments: 0

Question Number 36601    Answers: 0   Comments: 2

i want to share proof that universe and mathematics co related...golden ratio...is the proof...fibanocci numbers present in resl life if you want i can share...

$${i}\:{want}\:{to}\:{share}\:{proof}\:{that}\:{universe}\:{and} \\ $$$${mathematics}\:{co}\:{related}...{golden}\:{ratio}...{is}\:{the} \\ $$$${proof}...{fibanocci}\:{numbers}\:{present}\:{in}\:{resl}\:{life} \\ $$$${if}\:{you}\:{want}\:{i}\:{can}\:{share}... \\ $$

Question Number 36981    Answers: 0   Comments: 3

Question Number 36475    Answers: 1   Comments: 1

2 regtangle A and B given that the legnth of A is three times the legnth of B,and the Perimeter of A is 102cm. If the Area of B is same as 2 times the Area of a Trapezium with 2 parrallel sides 5cm and 4cm with hieght 6cm. find the lengths and widths of A and B.

$$\:\mathrm{2}\:{regtangle}\:{A}\:{and}\:{B}\:{given}\:{that} \\ $$$${the}\:{legnth}\:{of}\:{A}\:{is}\:{three}\:{times}\:{the} \\ $$$${legnth}\:{of}\:{B},{and}\:{the}\:{Perimeter}\:{of} \\ $$$${A}\:{is}\:\mathrm{102}{cm}.\:{If}\:{the}\:{Area}\:{of}\:{B}\:{is}\: \\ $$$${same}\:{as}\:\mathrm{2}\:{times}\:{the}\:{Area}\:{of}\:{a}\:{Trapezium} \\ $$$${with}\:\:\mathrm{2}\:{parrallel}\:{sides}\:\mathrm{5}{cm}\:{and}\:\mathrm{4}{cm} \\ $$$${with}\:{hieght}\:\mathrm{6}{cm}.\:{find}\:{the}\:{lengths} \\ $$$${and}\:{widths}\:{of}\:{A}\:{and}\:{B}. \\ $$

Question Number 36472    Answers: 1   Comments: 0

what is the area of the sector of a circle with Radius 3(1/2)cm at 30° from the centre (take π= ((22)/7)).

$${what}\:{is}\:{the}\:{area}\:{of}\:{the}\:{sector}\:{of}\:{a}\:{circle} \\ $$$${with}\:{Radius}\:\mathrm{3}\frac{\mathrm{1}}{\mathrm{2}}{cm}\:{at}\:\mathrm{30}°\:{from}\:{the} \\ $$$${centre}\:\left({take}\:\pi=\:\frac{\mathrm{22}}{\mathrm{7}}\right). \\ $$

Question Number 36389    Answers: 0   Comments: 0

If μ is a universal set and A,B,C are 3 sets . Given that n(μ)= 52 , n(A∩B) = 26 and n(A ∪ C) = 32 find n(A),n(B) and n(C)

$$\:\mathrm{If}\:\mu\:\mathrm{is}\:\mathrm{a}\:\mathrm{universal}\:\mathrm{set}\:\mathrm{and}\:\mathrm{A},\mathrm{B},\mathrm{C}\:\mathrm{are} \\ $$$$\mathrm{3}\:\mathrm{sets}\:.\:\:\:\mathrm{Given}\:\mathrm{that}\: \\ $$$$\mathrm{n}\left(\mu\right)=\:\mathrm{52}\:\:,\:\mathrm{n}\left(\mathrm{A}\cap\mathrm{B}\right)\:=\:\mathrm{26}\:\mathrm{and}\: \\ $$$$\mathrm{n}\left(\mathrm{A}\:\cup\:\mathrm{C}\right)\:=\:\mathrm{32}\:\mathrm{find}\:\mathrm{n}\left(\mathrm{A}\right),\mathrm{n}\left(\mathrm{B}\right)\:\mathrm{and} \\ $$$$\mathrm{n}\left(\mathrm{C}\right) \\ $$

Question Number 36385    Answers: 1   Comments: 1

Question Number 36368    Answers: 0   Comments: 0

In an organic Compound Carbon = 85.7% Hydrogen = 14.3% and RMM= 56 find the molecular formular.

$$\mathrm{In}\:\mathrm{an}\:\mathrm{organic}\:\mathrm{Compound}\:\mathrm{Carbon} \\ $$$$=\:\mathrm{85}.\mathrm{7\%}\:\:\mathrm{Hydrogen}\:=\:\mathrm{14}.\mathrm{3\%}\:\mathrm{and} \\ $$$$\mathrm{RMM}=\:\mathrm{56}\:\mathrm{find}\:\mathrm{the}\:\mathrm{molecular}\: \\ $$$$\mathrm{formular}. \\ $$

Question Number 36328    Answers: 0   Comments: 1

find the perimeter of a right angle triangle 4xcm high and 5xcm base

$$\mathrm{find}\:\mathrm{the}\:\mathrm{perimeter}\:\mathrm{of}\:\mathrm{a}\:\mathrm{right}\:\mathrm{angle}\: \\ $$$$\mathrm{triangle}\:\mathrm{4}{xcm}\:{high}\:{and}\:\mathrm{5}{xcm}\:{base} \\ $$

Question Number 36291    Answers: 1   Comments: 0

find the image of (−2,3) after the reflection on the a) x−axis b) y−axis

$$\mathrm{find}\:\mathrm{the}\:\mathrm{image}\:\mathrm{of}\:\:\left(−\mathrm{2},\mathrm{3}\right)\:\mathrm{after}\:\mathrm{the} \\ $$$$\mathrm{reflection}\:\mathrm{on}\:\mathrm{the} \\ $$$$\left.\mathrm{a}\left.\right)\:\mathrm{x}−\mathrm{axis}\:\:\:\:\:\mathrm{b}\right)\:\mathrm{y}−\mathrm{axis} \\ $$

Question Number 36290    Answers: 2   Comments: 1

Find the angle between the lines l_1 :y − x −4 = 0 and l_2 :2x − y = 7 and hence the perpendicular distance from one point on l_1 to l_2 .

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between}\:\mathrm{the}\:\mathrm{lines} \\ $$$$\:\:\:{l}_{\mathrm{1}} :\mathrm{y}\:−\:\mathrm{x}\:−\mathrm{4}\:=\:\mathrm{0}\:\mathrm{and}\:{l}_{\mathrm{2}} :\mathrm{2}{x}\:−\:{y}\:=\:\mathrm{7}\: \\ $$$$\mathrm{and}\:\mathrm{hence}\:\mathrm{the}\:\mathrm{perpendicular}\: \\ $$$$\mathrm{distance}\:\mathrm{from}\:\mathrm{one}\:\mathrm{point}\:\mathrm{on}\:{l}_{\mathrm{1}} \\ $$$$\mathrm{to}\:{l}_{\mathrm{2}} . \\ $$$$ \\ $$

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