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Question Number 48955 Answers: 3 Comments: 0

Evaluate ∫_0 ^((√3)/4) ((2xsin^(−1) (2x))/(√(1−4x^2 ))) dx

$${Evaluate}\:\underset{\mathrm{0}} {\overset{\frac{\sqrt{\mathrm{3}}}{\mathrm{4}}} {\int}}\:\frac{\mathrm{2}{x}\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{2}{x}\right)}{\sqrt{\mathrm{1}−\mathrm{4}{x}^{\mathrm{2}} }}\:{dx} \\ $$

Question Number 48953 Answers: 0 Comments: 1

Question Number 48952 Answers: 1 Comments: 0

Question Number 48921 Answers: 3 Comments: 1

Question Number 48920 Answers: 1 Comments: 0

Question Number 48919 Answers: 0 Comments: 1

if p and q are lengrhs of the line segment of any focal chord of parabola y^2 =4ax. where p,q are the roots of the equation (5+^ (√)2 )x^2 −(4+(√5))x+(4+(√)5)=0 then the length of the semi letusrectum of the parabola is ans:2

$$\mathrm{if}\:\mathrm{p}\:\mathrm{and}\:\mathrm{q}\:\mathrm{are}\:\mathrm{lengrhs}\:\mathrm{of}\:\mathrm{the}\:\mathrm{line}\:\mathrm{segment} \\ $$$$\mathrm{of}\:\mathrm{any}\:\mathrm{focal}\:\mathrm{chord}\:\mathrm{of}\:\mathrm{parabola}\:\mathrm{y}^{\mathrm{2}} =\mathrm{4ax}. \\ $$$$\mathrm{where}\:\mathrm{p},\mathrm{q}\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\left(\mathrm{5}+^{} \sqrt{}\mathrm{2}\:\right)\mathrm{x}^{\mathrm{2}} −\left(\mathrm{4}+\sqrt{\mathrm{5}}\right)\mathrm{x}+\left(\mathrm{4}+\sqrt{}\mathrm{5}\right)=\mathrm{0}\:\mathrm{then}\:\mathrm{the} \\ $$$$\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{semi}\:\mathrm{letusrectum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{parabola} \\ $$$$\mathrm{is} \\ $$$$\mathrm{ans}:\mathrm{2} \\ $$

Question Number 48918 Answers: 0 Comments: 0

if r_1 andr_(2 ) are the radii of smallest and largest circles which passes through (5,6)and touches the circle x^2 +y^2 −4x=0 then r_1 r_2 = ans:((41)/4)

$$\mathrm{if}\:\mathrm{r}_{\mathrm{1}} \mathrm{andr}_{\mathrm{2}\:} \mathrm{are}\:\mathrm{the}\:\mathrm{radii}\:\mathrm{of}\:\mathrm{smallest}\:\mathrm{and}\: \\ $$$$\mathrm{largest}\:\mathrm{circles}\:\mathrm{which}\:\mathrm{passes}\:\mathrm{through}\: \\ $$$$\left(\mathrm{5},\mathrm{6}\right)\mathrm{and}\:\mathrm{touches}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} −\mathrm{4x}=\mathrm{0} \\ $$$$\mathrm{then}\:\mathrm{r}_{\mathrm{1}} \mathrm{r}_{\mathrm{2}} = \\ $$$$\mathrm{ans}:\frac{\mathrm{41}}{\mathrm{4}} \\ $$

Question Number 48916 Answers: 0 Comments: 2

Dear Mr W2 Can you please send us an email? We need to figure out how to troubleshoot problem seen on the device you mentioned.

$$\mathrm{Dear}\:\mathrm{Mr}\:\mathrm{W2} \\ $$$$ \\ $$$$\mathrm{Can}\:\mathrm{you}\:\mathrm{please}\:\mathrm{send}\:\mathrm{us}\:\mathrm{an}\:\mathrm{email}?\:\mathrm{We} \\ $$$$\mathrm{need}\:\mathrm{to}\:\mathrm{figure}\:\mathrm{out}\:\mathrm{how}\:\mathrm{to}\:\mathrm{troubleshoot} \\ $$$$\mathrm{problem}\:\mathrm{seen}\:\mathrm{on}\:\mathrm{the}\:\mathrm{device}\:\mathrm{you} \\ $$$$\mathrm{mentioned}. \\ $$

Question Number 48899 Answers: 2 Comments: 1