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AllQuestion and Answers: Page 138

Question Number 208690    Answers: 1   Comments: 0

Question Number 208686    Answers: 1   Comments: 0

cos^2 2x = sin^2 2x + ((√3)/2) x = ?

$$\mathrm{cos}^{\mathrm{2}} \:\mathrm{2x}\:=\:\mathrm{sin}^{\mathrm{2}} \:\mathrm{2x}\:+\:\frac{\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$$$\mathrm{x}\:=\:? \\ $$

Question Number 208685    Answers: 1   Comments: 0

25 tan x = 3 x = ?

$$\mathrm{25}\:\mathrm{tan}\:\mathrm{x}\:=\:\mathrm{3} \\ $$$$\mathrm{x}\:=\:? \\ $$

Question Number 208681    Answers: 2   Comments: 0

Question Number 208676    Answers: 1   Comments: 0

Question Number 208670    Answers: 2   Comments: 1

Find: ∫_0 ^( 5) (√((1/2) (x^2 − 2x + 1))) dx = ?

$$\mathrm{Find}:\:\:\:\int_{\mathrm{0}} ^{\:\mathrm{5}} \:\sqrt{\frac{\mathrm{1}}{\mathrm{2}}\:\left(\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{2x}\:+\:\mathrm{1}\right)}\:\mathrm{dx}\:\:=\:\:? \\ $$

Question Number 208662    Answers: 2   Comments: 0

(( ((n),(0) ) +3 ((n),(1) ) +5 ((n),(2) ) +...+(2n+1) ((n),(n) ))/( ((n),(1) ) +2 ((n),(2) ) + 3 ((n),(3) ) +...+n ((n),(n) ))) =((23)/(11)) n=?

$$\:\:\frac{\begin{pmatrix}{\mathrm{n}}\\{\mathrm{0}}\end{pmatrix}\:+\mathrm{3}\begin{pmatrix}{\mathrm{n}}\\{\mathrm{1}}\end{pmatrix}\:+\mathrm{5}\begin{pmatrix}{\mathrm{n}}\\{\mathrm{2}}\end{pmatrix}\:+...+\left(\mathrm{2n}+\mathrm{1}\right)\begin{pmatrix}{\mathrm{n}}\\{\mathrm{n}}\end{pmatrix}}{\begin{pmatrix}{\mathrm{n}}\\{\mathrm{1}}\end{pmatrix}\:+\mathrm{2}\begin{pmatrix}{\mathrm{n}}\\{\mathrm{2}}\end{pmatrix}\:+\:\mathrm{3}\begin{pmatrix}{\mathrm{n}}\\{\mathrm{3}}\end{pmatrix}\:+...+\mathrm{n}\begin{pmatrix}{\mathrm{n}}\\{\mathrm{n}}\end{pmatrix}}\:=\frac{\mathrm{23}}{\mathrm{11}} \\ $$$$\:\mathrm{n}=? \\ $$

Question Number 208661    Answers: 1   Comments: 0

∫_2 ^7 f(x)dx=5. ∫_2 ^7 f(3x+4)dx.

$$\: \\ $$$$\: \underset{\mathrm{2}} {\overset{\mathrm{7}} {\int}}\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\mathrm{5}. \\ $$$$\: \underset{\mathrm{2}} {\overset{\mathrm{7}} {\int}}\:\mathrm{f}\left(\mathrm{3x}+\mathrm{4}\right)\mathrm{dx}. \\ $$

Question Number 208652    Answers: 1   Comments: 0

Question Number 208647    Answers: 1   Comments: 0

(tan^2 x − 3) ∙ sinx = 0 Find: x = ?

$$\left(\mathrm{tan}^{\mathrm{2}} \boldsymbol{\mathrm{x}}\:−\:\mathrm{3}\right)\:\centerdot\:\mathrm{sin}\boldsymbol{\mathrm{x}}\:=\:\mathrm{0} \\ $$$$\mathrm{Find}:\:\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$

Question Number 208646    Answers: 1   Comments: 0

y = ∣x − 2∣ + ∣x + 4∣ Find: min(y) and max(y)

$$\mathrm{y}\:=\:\mid\mathrm{x}\:−\:\mathrm{2}\mid\:+\:\mid\mathrm{x}\:+\:\mathrm{4}\mid \\ $$$$\mathrm{Find}:\:\:\:\mathrm{min}\left(\mathrm{y}\right)\:\:\:\mathrm{and}\:\:\:\mathrm{max}\left(\mathrm{y}\right) \\ $$

Question Number 208645    Answers: 1   Comments: 0

Solve : 2x_1 − λ_1 − 5λ_2 = 0 2x_2 − λ_1 − 2λ_2 = 0 2x_3 − 3λ_1 − λ_2 = 0 Find the values of x_1 , x_2 , x_3 , λ_1 , and λ_2

$$\mathrm{Solve}\:: \\ $$$$\mathrm{2x}_{\mathrm{1}} \:−\:\lambda_{\mathrm{1}} \:−\:\mathrm{5}\lambda_{\mathrm{2}} \:=\:\mathrm{0} \\ $$$$\mathrm{2x}_{\mathrm{2}} \:−\:\lambda_{\mathrm{1}} \:−\:\mathrm{2}\lambda_{\mathrm{2}} \:=\:\mathrm{0} \\ $$$$\mathrm{2x}_{\mathrm{3}} \:−\:\mathrm{3}\lambda_{\mathrm{1}} \:−\:\lambda_{\mathrm{2}} \:=\:\mathrm{0} \\ $$$$ \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:\mathrm{x}_{\mathrm{1}} ,\:\mathrm{x}_{\mathrm{2}} ,\:\mathrm{x}_{\mathrm{3}} ,\:\lambda_{\mathrm{1}} ,\:\mathrm{and}\:\lambda_{\mathrm{2}} \\ $$

Question Number 208639    Answers: 3   Comments: 3

Question Number 209957    Answers: 1   Comments: 0

If x, y are contain in natural numbers and x² + y² = 613² Find the values of x + y = ?

If x, y are contain in natural numbers and x² + y² = 613² Find the values of x + y = ?

Question Number 208634    Answers: 0   Comments: 0

Question Number 208632    Answers: 1   Comments: 1

∫e^(−x^2 ) dx could this be integrated by part? What approach would most likely be suitable for this integral?

$$\int{e}^{−{x}^{\mathrm{2}} } {dx} \\ $$$${could}\:{this}\:{be}\:{integrated}\:{by}\:{part}?\:{What} \\ $$$${approach}\:{would}\:{most}\:{likely}\:{be}\:{suitable} \\ $$$${for}\:{this}\:{integral}? \\ $$$$ \\ $$

Question Number 208629    Answers: 0   Comments: 0

Question Number 208624    Answers: 1   Comments: 0

Question Number 208623    Answers: 1   Comments: 0

solve for x, 3^x −2^x =65

$$\mathrm{solve}\:\mathrm{for}\:\mathrm{x},\:\mathrm{3}^{\mathrm{x}} −\mathrm{2}^{\mathrm{x}} =\mathrm{65} \\ $$

Question Number 208619    Answers: 1   Comments: 0

If O is the othocentre of a ∆ and

If O is the othocentre of a ∆ and <AOC=78°.The measure of <ABC is?

Question Number 208617    Answers: 1   Comments: 0

Question Number 208608    Answers: 2   Comments: 0

Question Number 208594    Answers: 4   Comments: 0

Find x+3^x <4

$${Find} \\ $$$${x}+\mathrm{3}^{{x}} <\mathrm{4} \\ $$

Question Number 208591    Answers: 1   Comments: 0

Question Number 208581    Answers: 1   Comments: 2

Question Number 208569    Answers: 0   Comments: 0

help me to solve this please y′′−(√(1+y′^2 ))=x^2 solve this differential equation

$$\boldsymbol{{help}}\:\boldsymbol{{me}}\:\boldsymbol{{to}}\:\boldsymbol{{solve}}\:\boldsymbol{{this}}\:\boldsymbol{{please}} \\ $$$$\:\:\boldsymbol{{y}}''−\sqrt{\mathrm{1}+\boldsymbol{{y}}'^{\mathrm{2}} }=\boldsymbol{{x}}^{\mathrm{2}} \\ $$$$\boldsymbol{{solve}}\:\boldsymbol{{this}}\:\boldsymbol{{differential}}\:\boldsymbol{{equation}} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

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