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AllQuestion and Answers: Page 1235

Question Number 89188 Answers: 2 Comments: 0

f(x) + f(x−1) = x^2 , x ∈ R f(19) = 94 f(94) = ... ?

$${f}\left({x}\right)\:+\:{f}\left({x}−\mathrm{1}\right)\:\:=\:\:{x}^{\mathrm{2}} \:\:\:,\:\:\:{x}\:\in\:\mathbb{R} \\ $$$${f}\left(\mathrm{19}\right)\:\:=\:\:\mathrm{94} \\ $$$${f}\left(\mathrm{94}\right)\:\:=\:\:...\:\:? \\ $$

Question Number 89187 Answers: 0 Comments: 2

Question Number 89185 Answers: 0 Comments: 1

Question Number 89172 Answers: 1 Comments: 0

Question Number 89153 Answers: 1 Comments: 0

If P=((RE^2 )/((R+B)^2 )) make R the subject of the formula.

$$\mathrm{If}\:\mathrm{P}=\frac{\mathrm{RE}^{\mathrm{2}} }{\left(\mathrm{R}+\mathrm{B}\right)^{\mathrm{2}} }\:\mathrm{make}\:\mathrm{R}\:\mathrm{the}\:\mathrm{subject}\:\mathrm{of}\:\mathrm{the}\:\mathrm{formula}. \\ $$

Question Number 89146 Answers: 6 Comments: 4

1)∫x(√((x−2)/(x+1))) dx 2)∫(1/((x+1)(√(x^2 +x+1))))dx 3)∫(√(−x^2 +4x+10)) dx

$$\left.\mathrm{1}\right)\int{x}\sqrt{\frac{{x}−\mathrm{2}}{{x}+\mathrm{1}}}\:{dx} \\ $$$$\left.\mathrm{2}\right)\int\frac{\mathrm{1}}{\left({x}+\mathrm{1}\right)\sqrt{{x}^{\mathrm{2}} +{x}+\mathrm{1}}}{dx} \\ $$$$\left.\mathrm{3}\right)\int\sqrt{−{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{10}}\:{dx} \\ $$

Question Number 89144 Answers: 0 Comments: 0

Question Number 89143 Answers: 0 Comments: 0

Question Number 89131 Answers: 0 Comments: 0

2v(√(]}{%=bvg))

$$\mathrm{2}{v}\sqrt{\left.\right]\left.\right\}\left\{\%={bvg}\right.} \\ $$

Question Number 89130 Answers: 0 Comments: 0

$$ \\ $$

Question Number 89129 Answers: 0 Comments: 0

$$ \\ $$

Question Number 89126 Answers: 0 Comments: 0

6[(√( ))

$$\mathrm{6}\left[\sqrt{\:\:}\right. \\ $$

Question Number 89125 Answers: 1 Comments: 0

Question Number 89124 Answers: 2 Comments: 5

Question Number 89123 Answers: 0 Comments: 4

∫ ((cos 2x)/(sec x−cos^2 x)) dx ?

$$\int\:\frac{\mathrm{cos}\:\mathrm{2}{x}}{\mathrm{sec}\:{x}−\mathrm{cos}\:^{\mathrm{2}} {x}}\:{dx}\:? \\ $$

Question Number 89161 Answers: 1 Comments: 2

∫_0 ^(π/2) log(sin(x))dx

$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {log}\left({sin}\left({x}\right)\right){dx} \\ $$

Question Number 89178 Answers: 0 Comments: 1

If z(z^2 +3x)+3y=0 prove that (∂^2 z/∂x^2 ) + (∂^2 z/∂y^2 )= ((2z(x−1))/((z^2 +x)^3 )) please help.

$${If}\:{z}\left({z}^{\mathrm{2}} +\mathrm{3}{x}\right)+\mathrm{3}{y}=\mathrm{0}\:{prove}\:{that}\: \\ $$$$\frac{\partial^{\mathrm{2}} {z}}{\partial{x}^{\mathrm{2}} }\:+\:\frac{\partial^{\mathrm{2}} {z}}{\partial{y}^{\mathrm{2}} }=\:\frac{\mathrm{2}{z}\left({x}−\mathrm{1}\right)}{\left({z}^{\mathrm{2}} +{x}\right)^{\mathrm{3}} } \\ $$$$ \\ $$$$ \\ $$$${please}\:{help}. \\ $$$$ \\ $$

Question Number 89107 Answers: 0 Comments: 0

Question Number 89099 Answers: 1 Comments: 1

Question Number 89093 Answers: 0 Comments: 0

Question Number 89092 Answers: 0 Comments: 2

Evaluate : lim_(n→∞) e^(−n) Σ_(k=0) ^n (n^k /(k!))

$${Evaluate}\::\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:{e}^{−{n}} \:\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\frac{{n}^{{k}} }{{k}!} \\ $$

Question Number 89097 Answers: 1 Comments: 1

Question Number 89098 Answers: 0 Comments: 0

x=^( c−1) (√((ay−bz)/(cdy))) If a increases, what happens to x? Explain your answer.

$${x}=^{\:\:{c}−\mathrm{1}} \sqrt{\frac{{ay}−{bz}}{{cdy}}} \\ $$$$ \\ $$$$\mathrm{If}\:{a}\:\mathrm{increases},\:\mathrm{what}\:\mathrm{happens}\:\mathrm{to}\:{x}? \\ $$$$\mathrm{Explain}\:\mathrm{your}\:\mathrm{answer}. \\ $$

Question Number 89079 Answers: 2 Comments: 0

(cos 4x+1)(cos 2x+1)(cos x+1)= (1/8) 0 ≤ x ≤ 2π

$$\left(\mathrm{cos}\:\mathrm{4}{x}+\mathrm{1}\right)\left(\mathrm{cos}\:\mathrm{2}{x}+\mathrm{1}\right)\left(\mathrm{cos}\:{x}+\mathrm{1}\right)=\:\frac{\mathrm{1}}{\mathrm{8}} \\ $$$$\mathrm{0}\:\leqslant\:{x}\:\leqslant\:\mathrm{2}\pi \\ $$

Question Number 89077 Answers: 0 Comments: 0

Question Number 89074 Answers: 0 Comments: 1

×^4 +×^2 =1

$$×^{\mathrm{4}} +×^{\mathrm{2}} =\mathrm{1} \\ $$

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