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Question Number 152834 Answers: 0 Comments: 0

Question Number 152829 Answers: 2 Comments: 0

Question Number 152828 Answers: 1 Comments: 0

∫_( 1) ^( ∞) (((√x) ln x)/(x^2 +x+1)) dx = ?

$$\underset{\:\mathrm{1}} {\overset{\:\infty} {\int}}\:\frac{\sqrt{\mathrm{x}}\:\mathrm{ln}\:\mathrm{x}}{\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}}\:\mathrm{dx}\:=\:? \\ $$

Question Number 152827 Answers: 1 Comments: 0

Question Number 152826 Answers: 1 Comments: 0

An electric current passes through two voltmeters in series containing copper sulphate (CuSO₄) and silver nitrate (AgNO₃) respectively. What is the mass of silver deposited in a given time, if the mass of copper deposited in that time is 1g. (Cu = 63 , Ag = 108 valency of Cu is 2 and valency of Ag is 1).

Question Number 152817 Answers: 4 Comments: 0

Find the coefficient of 1.x^(20 ) in (1−x+x^2 )^(20) 2.x^4 in (1+x+x^2 +x^3 )_ ^(11) please,help me

$$ \\ $$$${Find}\:{the}\:{coefficient}\:{of} \\ $$$$\mathrm{1}.{x}^{\mathrm{20}\:} {in}\:\left(\mathrm{1}−{x}+{x}^{\mathrm{2}} \right)^{\mathrm{20}} \\ $$$$ \\ $$$$\mathrm{2}.{x}^{\mathrm{4}} \:{in}\:\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} \right)_{} ^{\mathrm{11}} \\ $$$${please},{help}\:{me} \\ $$

Question Number 152805 Answers: 2 Comments: 0

Question Number 152801 Answers: 0 Comments: 3

resouds ∣1−x∣y′+xy=x

$${resouds} \\ $$$$\mid\mathrm{1}−{x}\mid{y}'+{xy}={x} \\ $$

Question Number 152799 Answers: 1 Comments: 1

Given that f○g = (x^2 /(2x^2 − x + 4)) and g(x) = (x/(x − 2)), find f(x).

$$\:\:\mathrm{Given}\:\mathrm{that}\:{f}\circ{g}\:=\:\frac{{x}^{\mathrm{2}} }{\mathrm{2}{x}^{\mathrm{2}} \:−\:{x}\:+\:\mathrm{4}}\:\:\mathrm{and} \\ $$$$\:\:{g}\left({x}\right)\:=\:\frac{{x}}{{x}\:−\:\mathrm{2}},\:\mathrm{find}\:{f}\left({x}\right). \\ $$

Question Number 152795 Answers: 1 Comments: 0

𝛗=∫_0 ^( ∞) ((sin(x ))/x)(((a^( 2) +cos^( 2) (x))/(b^( 2) + cos^( 2) (x ))))dx=?

$$ \\ $$$$\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} \frac{{sin}\left({x}\:\right)}{{x}}\left(\frac{{a}^{\:\mathrm{2}} +{cos}^{\:\mathrm{2}} \left({x}\right)}{{b}^{\:\mathrm{2}} +\:{cos}^{\:\mathrm{2}} \left({x}\:\right)}\right){dx}=? \\ $$$$ \\ $$

Question Number 152779 Answers: 0 Comments: 4

Question Number 152778 Answers: 0 Comments: 0

Solve .......... Ω := ∫_0 ^( 1) x. sin( ln (x ))dx =^? ((−1)/( 5)) solution.... Ω :=^(i.b.p) [ (x^( 2) /2) . sin(ln(x))]_0 ^( 1) −(1/2)∫_0 ^( 1) x.cos( ln (x ))dx := ((−1)/2) ∫_0 ^( 1) x. cos (ln (x ))dx :=^(i.b.p) ((−1)/2) {[ (x^( 2) /2) cos (ln(x ))]_0 ^1 +(1/2) ∫x. sin(ln(x ))dx} := ((−1)/4) −(1/4) Ω (5/4) Ω = ((−1)/4) ⇒ Ω := ((−1)/( 5)) .........■ m.n .................................

$$ \\ $$$$\:\:\:\:\:\:\:\:\mathrm{Solve}\:.......... \\ $$$$\:\:\:\:\Omega\::=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} {x}.\:{sin}\left(\:{ln}\:\left({x}\:\right)\right){dx}\:\overset{?} {=}\:\frac{−\mathrm{1}}{\:\:\:\mathrm{5}}\: \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{solution}.... \\ $$$$\:\:\:\:\:\Omega\::\overset{{i}.{b}.{p}} {=}\left[\:\frac{{x}^{\:\mathrm{2}} }{\mathrm{2}}\:.\:{sin}\left({ln}\left({x}\right)\right)\right]_{\mathrm{0}} ^{\:\mathrm{1}} −\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}} ^{\:\mathrm{1}} \:{x}.{cos}\left(\:{ln}\:\left({x}\:\right)\right){dx} \\ $$$$\:\:\:\:\:\:\:\:\:\::=\:\frac{−\mathrm{1}}{\mathrm{2}}\:\int_{\mathrm{0}} ^{\:\mathrm{1}} {x}.\:{cos}\:\left({ln}\:\left({x}\:\right)\right){dx} \\ $$$$\:\:\:\:\:\:\:\:\:\::\overset{{i}.{b}.{p}} {=}\:\frac{−\mathrm{1}}{\mathrm{2}}\:\left\{\left[\:\frac{{x}^{\:\mathrm{2}} }{\mathrm{2}}\:{cos}\:\left({ln}\left({x}\:\right)\right)\right]_{\mathrm{0}} ^{\mathrm{1}} +\frac{\mathrm{1}}{\mathrm{2}}\:\int{x}.\:{sin}\left({ln}\left({x}\:\right)\right){dx}\right\} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\::=\:\frac{−\mathrm{1}}{\mathrm{4}}\:−\frac{\mathrm{1}}{\mathrm{4}}\:\Omega \\ $$$$\:\:\:\:\:\:\:\:\:\frac{\mathrm{5}}{\mathrm{4}}\:\Omega\:=\:\frac{−\mathrm{1}}{\mathrm{4}}\:\:\Rightarrow\:\:\:\Omega\::=\:\frac{−\mathrm{1}}{\:\mathrm{5}}\:\:.........\blacksquare\:{m}.{n} \\ $$$$\:\:\:\:.................................\:\: \\ $$$$\:\:\:\:\:\:\: \\ $$

Question Number 152772 Answers: 1 Comments: 2

if ((((x−2))^(1/3) +2))^(1/3) + ((2−((x−2))^(1/3) ))^(1/3) =2 then find the value of (√(198x^4 −868x^3 −229x^2 +200x))

Question Number 152771 Answers: 0 Comments: 2

If f(z) = z sin(z) + ∣z∣^2 , verify if f(z) satisfy cauchy rieman condition

$$\mathrm{If}\:\:\:\:\mathrm{f}\left(\mathrm{z}\right)\:\:\:=\:\:\:\:\mathrm{z}\:\mathrm{sin}\left(\mathrm{z}\right)\:\:\:+\:\:\:\mid\mathrm{z}\mid^{\mathrm{2}} ,\:\:\:\:\:\:\:\mathrm{verify}\:\mathrm{if}\:\:\:\mathrm{f}\left(\mathrm{z}\right)\:\:\:\mathrm{satisfy}\:\mathrm{cauchy}\:\mathrm{rieman} \\ $$$$\mathrm{condition} \\ $$

Question Number 152770 Answers: 0 Comments: 1

How to prove that a<b<c ⇒ a+b > c which a,b,c are sides of a triangle ?

$${How}\:\:{to}\:\:{prove}\:\:{that} \\ $$$$\:\:{a}<{b}<{c}\:\:\Rightarrow\:\:{a}+{b}\:>\:{c} \\ $$$${which}\:\:{a},{b},{c}\:\:{are}\:\:{sides}\:\:{of}\:\:{a}\:\:{triangle}\:? \\ $$

Question Number 152769 Answers: 1 Comments: 1