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Question Number 106454 Answers: 0 Comments: 0

Question Number 106449 Answers: 3 Comments: 0

Question Number 106445 Answers: 0 Comments: 0

Question Number 106444 Answers: 1 Comments: 0

Question Number 106435 Answers: 1 Comments: 2

lim_(x→2) ((ln(2x+10))/(x−2))=??

$${li}\underset{{x}\rightarrow\mathrm{2}} {{m}}\frac{{ln}\left(\mathrm{2}{x}+\mathrm{10}\right)}{{x}−\mathrm{2}}=?? \\ $$

Question Number 106432 Answers: 0 Comments: 5

Question Number 106424 Answers: 1 Comments: 0

∫x^2

$$\int{x}^{\mathrm{2}} \\ $$

Question Number 106422 Answers: 1 Comments: 1

Question Number 106410 Answers: 3 Comments: 0

lim_(x→0) ((cos 2x.(1+sin^2 x)+cos^2 x−2)/x^2 )

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{cos}\:\mathrm{2x}.\left(\mathrm{1}+\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}\right)+\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}−\mathrm{2}}{\mathrm{x}^{\mathrm{2}} } \\ $$

Question Number 106409 Answers: 2 Comments: 0

what is the number positive integral solutions for xy = 72(x+y) ?

$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{number}\:\mathrm{positive}\:\mathrm{integral}\:\mathrm{solutions} \\ $$$$\mathrm{for}\:\mathrm{xy}\:=\:\mathrm{72}\left(\mathrm{x}+\mathrm{y}\right)\:? \\ $$

Question Number 106408 Answers: 1 Comments: 0

what is k such that the circle x^2 +y^2 =4 intersect the parabola y= x^2 +k

$$\mathrm{what}\:\mathrm{is}\:\mathrm{k}\:\mathrm{such}\:\mathrm{that}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} =\mathrm{4}\:\mathrm{intersect} \\ $$$$\mathrm{the}\:\mathrm{parabola}\:\mathrm{y}=\:\mathrm{x}^{\mathrm{2}} +\mathrm{k}\: \\ $$

Question Number 106405 Answers: 1 Comments: 0

A bag contains 6 white, 4 red & 10 black balls. If two balls are drawn at random, what is the probability of both being black ?

$$\mathrm{A}\:\mathrm{bag}\:\mathrm{contains}\:\mathrm{6}\:\mathrm{white},\:\mathrm{4}\:\mathrm{red}\:\&\:\mathrm{10} \\ $$$$\mathrm{black}\:\mathrm{balls}.\:\mathrm{If}\:\mathrm{two}\:\mathrm{balls}\:\mathrm{are}\:\mathrm{drawn} \\ $$$$\mathrm{at}\:\mathrm{random},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{probability}\:\mathrm{of}\:\mathrm{both}\:\mathrm{being}\:\mathrm{black}\:? \\ $$

Question Number 106398 Answers: 1 Comments: 0

lim_(x→0) ((sin 2x+p sin x)/x^3 ) = q . where q finite

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\mathrm{2x}+\mathrm{p}\:\mathrm{sin}\:\mathrm{x}}{\mathrm{x}^{\mathrm{3}} }\:=\:\mathrm{q}\:.\:\mathrm{where}\:\mathrm{q}\:\mathrm{finite}\: \\ $$

Question Number 106396 Answers: 1 Comments: 3

Question Number 106392 Answers: 0 Comments: 0

∫_0 ^∞ (√((2t+3)/(5t^3 +3t^2 +2)))dt

$$\int_{\mathrm{0}} ^{\infty} \sqrt{\frac{\mathrm{2t}+\mathrm{3}}{\mathrm{5t}^{\mathrm{3}} +\mathrm{3t}^{\mathrm{2}} +\mathrm{2}}}\mathrm{dt} \\ $$

Question Number 106391 Answers: 1 Comments: 0

∫e^(2x^2 +x) dx

$$\int\mathrm{e}^{\mathrm{2x}^{\mathrm{2}} +\mathrm{x}} \mathrm{dx} \\ $$

Question Number 106388 Answers: 2 Comments: 0

lim_(x→0) ((1−cos 4x sin^2 x−cos^2 x)/x^4 )

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{1}−\mathrm{cos}\:\mathrm{4x}\:\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}−\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}{\mathrm{x}^{\mathrm{4}} } \\ $$

Question Number 106387 Answers: 2 Comments: 0

cot θ + cot ((π/4)+θ) = 2 θ = ?

$$\mathrm{cot}\:\theta\:+\:\mathrm{cot}\:\left(\frac{\pi}{\mathrm{4}}+\theta\right)\:=\:\mathrm{2}\: \\ $$$$\theta\:=\:? \\ $$

Question Number 106386 Answers: 0 Comments: 0

Is there a formula to calculate; Π_(k=1) ^n U_k ?

$$\mathrm{Is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{formula}\:\mathrm{to}\:\mathrm{calculate}; \\ $$$$\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\prod}}\mathrm{U}_{\mathrm{k}} \:\:? \\ $$

Question Number 106382 Answers: 0 Comments: 0

Question Number 106379 Answers: 1 Comments: 0

Question Number 106378 Answers: 2 Comments: 0

Question Number 106380 Answers: 0 Comments: 0

Question Number 106373 Answers: 1 Comments: 0

A ladder placed against a vertical walls ubtends an angle of 45 degree with thewall The distance between the footo f the ladder and the wall is 15mt calculae the length of the ladder correctto the nearest whole number.

$$ \\ $$$$\mathrm{A}\:\mathrm{ladder}\:\mathrm{placed}\:\mathrm{against}\:\mathrm{a}\:\mathrm{vertical}\:\mathrm{walls} \\ $$$$\mathrm{ubtends}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{45}\:\mathrm{degree}\:\mathrm{with}\: \\ $$$$\mathrm{thewall}\:\mathrm{The}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{the}\:\mathrm{footo} \\ $$$$\mathrm{f}\:\mathrm{the}\:\mathrm{ladder}\:\mathrm{and}\:\mathrm{the}\:\mathrm{wall}\:\mathrm{is}\:\mathrm{15mt} \\ $$$$\mathrm{calculae}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ladder}\: \\ $$$$\mathrm{correctto}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{whole}\:\mathrm{number}. \\ $$

Question Number 106366 Answers: 1 Comments: 0

Question Number 106365 Answers: 2 Comments: 1

help Σ_(n=1) ^∞ (1/((2n−1)!))

$$\mathrm{help} \\ $$$$\underset{\mathrm{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{2n}−\mathrm{1}\right)!} \\ $$

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