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Question Number 62708 Answers: 0 Comments: 2

Question Number 62698 Answers: 1 Comments: 0

Lines 5x+12y−10=0 and 5x−12y−40=0 touch circle C_1 of diameter 6. If the center of C_1 lies in the Ist quadrant, find the equation of circle C_2 which is concentric with C_(1 ) and cuts intercept of length 8 on these lines.

$${Lines}\:\mathrm{5}{x}+\mathrm{12}{y}−\mathrm{10}=\mathrm{0}\:{and}\:\mathrm{5}{x}−\mathrm{12}{y}−\mathrm{40}=\mathrm{0} \\ $$$${touch}\:{circle}\:{C}_{\mathrm{1}} \:{of}\:{diameter}\:\mathrm{6}.\:{If}\:{the}\: \\ $$$${center}\:{of}\:{C}_{\mathrm{1}} \:{lies}\:{in}\:{the}\:{Ist}\:{quadrant}, \\ $$$${find}\:{the}\:{equation}\:{of}\:{circle}\:{C}_{\mathrm{2}} \:{which}\:{is}\: \\ $$$${concentric}\:{with}\:{C}_{\mathrm{1}\:} \:{and}\:{cuts}\:{intercept} \\ $$$${of}\:{length}\:\mathrm{8}\:{on}\:{these}\:{lines}. \\ $$

Question Number 62750 Answers: 0 Comments: 1

An element X has RAM of 88g.when a current of 0.5A was passed through fused chloride of X for 32minutes and 10sec. 0.44g of X was deposited at the cathode (a)number of faraday? (b)write formular of X ions (c)write the formular of OH

$${An}\:{element}\:{X}\:{has}\:{RAM} \\ $$$${of}\:\mathrm{88}{g}.{when}\:{a}\:{current} \\ $$$${of}\:\mathrm{0}.\mathrm{5}{A}\:{was}\:{passed}\:{through} \\ $$$${fused}\:{chloride}\:{of}\:{X}\:{for} \\ $$$$\mathrm{32}{minutes}\:{and}\:\mathrm{10}{sec}. \\ $$$$\mathrm{0}.\mathrm{44}{g}\:{of}\:{X}\:{was}\:{deposited} \\ $$$${at}\:{the}\:{cathode} \\ $$$$\left({a}\right){number}\:{of}\:{faraday}? \\ $$$$\left({b}\right){write}\:{formular}\:{of}\: \\ $$$${X}\:{ions} \\ $$$$\left({c}\right){write}\:{the}\:{formular}\:{of}\:{OH} \\ $$

Question Number 62676 Answers: 1 Comments: 1

Question Number 62672 Answers: 1 Comments: 9

Question Number 62669 Answers: 2 Comments: 0

calculate the value of Σ_(n=0) ^(1947) (1/(2^n +(√2^(1947) )))

$${calculate}\:{the}\:{value}\:{of}\:\underset{{n}=\mathrm{0}} {\overset{\mathrm{1947}} {\sum}}\frac{\mathrm{1}}{\mathrm{2}^{{n}} +\sqrt{\mathrm{2}^{\mathrm{1947}} }} \\ $$

Question Number 62666 Answers: 0 Comments: 0

Question Number 62664 Answers: 1 Comments: 0

Find the nth term 100,92,76,44,......

$${Find}\:{the}\:{nth}\:{term} \\ $$$$\mathrm{100},\mathrm{92},\mathrm{76},\mathrm{44},...... \\ $$

Question Number 62659 Answers: 1 Comments: 3

calculate lim_(n→+∞) (((n!)^n )/n^(n!) )

$${calculate}\:\:{lim}_{{n}\rightarrow+\infty} \:\:\:\:\frac{\left({n}!\right)^{{n}} }{{n}^{{n}!} } \\ $$

Question Number 62657 Answers: 1 Comments: 2

calculate lim_(x→0) ((ln(1+tan(2x))−ln(cos(3x)))/x^3 )

$${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\:\frac{{ln}\left(\mathrm{1}+{tan}\left(\mathrm{2}{x}\right)\right)−{ln}\left({cos}\left(\mathrm{3}{x}\right)\right)}{{x}^{\mathrm{3}} } \\ $$

Question Number 62656 Answers: 1 Comments: 1

calculate lim_(n→+∞) (((n+1)^n )/n^(n+1) )

$${calculate}\:{lim}_{{n}\rightarrow+\infty} \:\:\:\:\:\frac{\left({n}+\mathrm{1}\right)^{{n}} }{{n}^{{n}+\mathrm{1}} } \\ $$

Question Number 62653 Answers: 1 Comments: 4

∫x(arctan(x))^2 dx ∫((x e^(arctan(x)) )/((1+x^2 )^(3/2) )) dx ∫((arcsin(x))/(√(1+x))) dx

$$\int\mathrm{x}\left(\mathrm{arctan}\left(\mathrm{x}\right)\right)^{\mathrm{2}} \:\mathrm{dx} \\ $$$$ \\ $$$$\int\frac{\mathrm{x}\:\mathrm{e}^{\mathrm{arctan}\left(\mathrm{x}\right)} }{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)^{\frac{\mathrm{3}}{\mathrm{2}}} }\:\mathrm{dx} \\ $$$$ \\ $$$$\int\frac{\mathrm{arcsin}\left(\mathrm{x}\right)}{\sqrt{\mathrm{1}+\mathrm{x}}}\:\mathrm{dx} \\ $$

Question Number 62648 Answers: 0 Comments: 1

Question Number 62679 Answers: 1 Comments: 5

Let f be defined in the neighborhood of x and that f ′′(x) exists. Prove that lim_(h→0) ((f(x+h)+f(x−h)−2f(x))/h^2 )=f ′′(x) .

$${Let}\:{f}\:{be}\:{defined}\:{in}\:{the}\:{neighborhood} \\ $$$${of}\:{x}\:{and}\:{that}\:{f}\:''\left({x}\right)\:{exists}. \\ $$$${Prove}\:{that}\:\: \\ $$$$\:\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{f}\left({x}+{h}\right)+{f}\left({x}−{h}\right)−\mathrm{2}{f}\left({x}\right)}{{h}^{\mathrm{2}} }={f}\:''\left({x}\right)\:. \\ $$

Question Number 62626 Answers: 1 Comments: 4

Find the limit of ((n!)/4^n ) as n approach infinity

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{of}\:\:\:\:\:\frac{\mathrm{n}!}{\mathrm{4}^{\mathrm{n}} }\:\:\:\mathrm{as}\:\:\mathrm{n}\:\:\mathrm{approach}\:\mathrm{infinity} \\ $$

Question Number 62624 Answers: 2 Comments: 0

Question Number 62623 Answers: 0 Comments: 0

Question Number 62622 Answers: 0 Comments: 0

Question Number 62613 Answers: 3 Comments: 2

Question Number 62612 Answers: 1 Comments: 0

The number of real solutions of the equation ((9/(10)))^x = −3+x−x^2 is

$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{real}\:\mathrm{solutions}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\left(\frac{\mathrm{9}}{\mathrm{10}}\right)^{{x}} =\:−\mathrm{3}+{x}−{x}^{\mathrm{2}} \:\:\:\:\:\mathrm{is} \\ $$

Question Number 62596 Answers: 1 Comments: 0

∫sin^(100) (x) cos^(100) (x) dx

$$\int\mathrm{sin}^{\mathrm{100}} \left(\mathrm{x}\right)\:\mathrm{cos}^{\mathrm{100}} \left(\mathrm{x}\right)\:\mathrm{dx} \\ $$

Question Number 62595 Answers: 1 Comments: 1

what is 2sin^2 θcos^2 θ ?

$${what}\:{is}\:\mathrm{2}{sin}^{\mathrm{2}} \theta{cos}^{\mathrm{2}} \theta\:? \\ $$

Question Number 62591 Answers: 2 Comments: 1

If 2^x = 3^y = 6^z , then (1/x) + (1/y) + (1/z) = ____.

$$\mathrm{If}\:\:\mathrm{2}^{{x}} =\:\mathrm{3}^{{y}} =\:\mathrm{6}^{{z}} ,\:\mathrm{then}\:\frac{\mathrm{1}}{{x}}\:+\:\frac{\mathrm{1}}{{y}}\:+\:\frac{\mathrm{1}}{{z}}\:=\:\_\_\_\_. \\ $$

Question Number 62585 Answers: 1 Comments: 0

find the resultant force of a system of three forces O^− P^→ =9N,O^− R^→ =10N and O^− Q^→ 10N acting at point O where angle POR is 135°,angle POQ is 135° and QOR is 90°

$${find}\:{the}\:{resultant}\:{force}\:{of}\:{a}\:{system} \\ $$$${of}\:{three}\:{forces}\:\overset{−} {{O}}\overset{\rightarrow} {{P}}\:=\mathrm{9}{N},\overset{−} {{O}}\overset{\rightarrow} {{R}}\:=\mathrm{10}{N}\:{and}\:\overset{−} {{O}}\overset{\rightarrow} {{Q}}\:\mathrm{10}{N}\: \\ $$$${acting}\:{at}\:{point}\:{O}\:{where}\:{angle}\:{POR}\:{is} \\ $$$$\mathrm{135}°,{angle}\:{POQ}\:{is}\:\mathrm{135}°\:\:{and}\:{QOR}\:{is}\: \\ $$$$\mathrm{90}° \\ $$

Question Number 62583 Answers: 1 Comments: 0

find the vector sum of two vectors of magnitude of 7 and 8 making an angle of 120° to each other

$${find}\:{the}\:{vector}\:{sum}\:{of}\:{two}\:{vectors} \\ $$$${of}\:{magnitude}\:{of}\:\mathrm{7}\:{and}\:\mathrm{8}\:{making}\:{an} \\ $$$${angle}\:{of}\:\mathrm{120}°\:{to}\:{each}\:{other} \\ $$

Question Number 62577 Answers: 1 Comments: 1

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