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Question Number 225330 Answers: 1 Comments: 0

if (fogoh)(x)=cos^2 (x+9) then f(x)=? , g(x)=? , h(x)=?

$${if}\:\:\left({fogoh}\right)\left({x}\right)={cos}^{\mathrm{2}} \left({x}+\mathrm{9}\right) \\ $$$${then}\:\:\:{f}\left({x}\right)=?\:,\:\:{g}\left({x}\right)=?\:\:,\:{h}\left({x}\right)=? \\ $$

Question Number 225323 Answers: 1 Comments: 0

Find: (((3 + 2 (5)^(1/4) )/(3 - 2 (5)^(1/4) )))^(1/4) . (((5)^(1/4) - 1)/( (5)^(1/4) + 1)) = ?

$$\mathrm{Find}:\:\:\:\left(\frac{\mathrm{3}\:+\:\mathrm{2}\:\sqrt[{\mathrm{4}}]{\mathrm{5}}}{\mathrm{3}\:-\:\mathrm{2}\:\sqrt[{\mathrm{4}}]{\mathrm{5}}}\right)^{\frac{\mathrm{1}}{\mathrm{4}}} .\:\:\:\frac{\sqrt[{\mathrm{4}}]{\mathrm{5}}\:-\:\mathrm{1}}{\:\sqrt[{\mathrm{4}}]{\mathrm{5}}\:+\:\mathrm{1}}\:\:=\:? \\ $$

Question Number 225394 Answers: 1 Comments: 2

Question Number 225307 Answers: 1 Comments: 1

Question Number 225299 Answers: 0 Comments: 1

We have integrated artificial intelligence: - images are checked during upload and will be rejected if not related to science - daily processing of other posts A few senior users are exempted from these checks.

$$\mathrm{We}\:\mathrm{have}\:\mathrm{integrated}\:\mathrm{artificial} \\ $$$$\mathrm{intelligence}: \\ $$$$-\:\mathrm{images}\:\mathrm{are}\:\mathrm{checked}\:\mathrm{during}\:\mathrm{upload} \\ $$$$\:\:\:\mathrm{and}\:\mathrm{will}\:\mathrm{be}\:\mathrm{rejected}\:\mathrm{if}\:\mathrm{not}\:\mathrm{related} \\ $$$$\:\:\:\mathrm{to}\:\mathrm{science} \\ $$$$-\:\mathrm{daily}\:\mathrm{processing}\:\mathrm{of}\:\mathrm{other}\:\mathrm{posts} \\ $$$$\mathrm{A}\:\mathrm{few}\:\mathrm{senior}\:\mathrm{users}\:\mathrm{are}\:\mathrm{exempted}\:\mathrm{from} \\ $$$$\mathrm{these}\:\mathrm{checks}. \\ $$

Question Number 225303 Answers: 0 Comments: 0

Let S_n (x)=Σ_(r=1) ^n ((sin ((2r−3)2^(−(r+1)) x)cos ((10r+1)2^(−(r+1)) x)−sin( (6r−1)2^(−(r+1)) x)cos ((2r+5)2^(−(r+1)) x))/(2^(r−1) (sin (r2^(3−r) −x)sin (2^(2−r) −x)))) then find the value of lim_(m→∞) (((Σ_(n=0) ^m ∫_0 ^1 cos^(−1) (((cos (x))/(2^n (1+2S_n (x)cos (x)))))dx)/([(d/dx)(Σ_(n=0) ^m cos^(−1) (((cos (x))/(2^n (1+2S_n (x)cos (x)))))]_(x=0) )))

$${Let} \\ $$$${S}_{{n}} \left({x}\right)=\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\mathrm{sin}\:\left(\left(\mathrm{2}{r}−\mathrm{3}\right)\mathrm{2}^{−\left({r}+\mathrm{1}\right)} {x}\right)\mathrm{cos}\:\left(\left(\mathrm{10}{r}+\mathrm{1}\right)\mathrm{2}^{−\left({r}+\mathrm{1}\right)} {x}\right)−\mathrm{sin}\left(\:\left(\mathrm{6}{r}−\mathrm{1}\right)\mathrm{2}^{−\left({r}+\mathrm{1}\right)} {x}\right)\mathrm{cos}\:\left(\left(\mathrm{2}{r}+\mathrm{5}\right)\mathrm{2}^{−\left({r}+\mathrm{1}\right)} {x}\right)}{\mathrm{2}^{{r}−\mathrm{1}} \left(\mathrm{sin}\:\left({r}\mathrm{2}^{\mathrm{3}−{r}} −{x}\right)\mathrm{sin}\:\left(\mathrm{2}^{\mathrm{2}−{r}} −{x}\right)\right)} \\ $$$${then}\:{find}\:{the}\:{value}\:{of} \\ $$$$\underset{{m}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\underset{{n}=\mathrm{0}} {\overset{{m}} {\sum}}\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{cos}^{−\mathrm{1}} \left(\frac{\mathrm{cos}\:\left({x}\right)}{\mathrm{2}^{{n}} \left(\mathrm{1}+\mathrm{2}{S}_{{n}} \left({x}\right)\mathrm{cos}\:\left({x}\right)\right)}\right){dx}}{\left[\frac{{d}}{{dx}}\left(\underset{{n}=\mathrm{0}} {\overset{{m}} {\sum}}\mathrm{cos}^{−\mathrm{1}} \left(\frac{\mathrm{cos}\:\left({x}\right)}{\mathrm{2}^{{n}} \left(\mathrm{1}+\mathrm{2}{S}_{{n}} \left({x}\right)\mathrm{cos}\:\left({x}\right)\right)}\right)\right]_{{x}=\mathrm{0}} \right.}\right) \\ $$

Question Number 225282 Answers: 2 Comments: 4

Q225146 here if the wedge and the ground had no friction it would start going → what is acc. at time t? μ=kx

$${Q}\mathrm{225146} \\ $$$${here}\:{if}\:{the}\:{wedge}\:{and}\:{the} \\ $$$${ground}\:\:{had}\:{no}\:{friction} \\ $$$${it}\:{would}\:{start}\:{going}\:\rightarrow \\ $$$${what}\:{is}\:{acc}.\:{at}\:{time}\:{t}? \\ $$$$\mu={kx} \\ $$

Question Number 225230 Answers: 1 Comments: 3

tg^4 10°+tg^4 50°+tg^4 70°=?

$$\:\:\:{tg}^{\mathrm{4}} \mathrm{10}°+{tg}^{\mathrm{4}} \mathrm{50}°+{tg}^{\mathrm{4}} \mathrm{70}°=? \\ $$

Question Number 225240 Answers: 1 Comments: 0

Question Number 225239 Answers: 0 Comments: 0

Question Number 225241 Answers: 1 Comments: 0

Question Number 225153 Answers: 0 Comments: 0

Question Number 225152 Answers: 0 Comments: 0

Question Number 225151 Answers: 0 Comments: 0

Question Number 225150 Answers: 0 Comments: 0

Question Number 225146 Answers: 2 Comments: 9

Question Number 225075 Answers: 2 Comments: 0

Question Number 225072 Answers: 1 Comments: 0

Question Number 225098 Answers: 2 Comments: 0

Question Number 225054 Answers: 3 Comments: 2

Question Number 225047 Answers: 2 Comments: 0

∫ x^x dx

$$\int\:{x}^{{x}} \:{dx} \\ $$

Question Number 225020 Answers: 0 Comments: 1

tgx+tgy+tgz=A tg^3 x+tg^3 y+tg^3 z=?

$$\:\:\:{tgx}+{tgy}+{tgz}={A} \\ $$$$\:\:\:{tg}^{\mathrm{3}} {x}+{tg}^{\mathrm{3}} {y}+{tg}^{\mathrm{3}} {z}=? \\ $$

Question Number 225003 Answers: 1 Comments: 17

The new symbols are in progress. New update will be release by end of this month with - Close integration symbols - Italic greek capital letters - Ability to upload GIF images If anyone has any other improvement suggestion please email us or comment here

$$\mathrm{The}\:\mathrm{new}\:\mathrm{symbols}\:\mathrm{are}\:\mathrm{in} \\ $$$$\mathrm{progress}.\:\mathrm{New}\:\mathrm{update}\:\mathrm{will}\:\mathrm{be}\:\mathrm{release} \\ $$$$\mathrm{by}\:\mathrm{end}\:\mathrm{of}\:\mathrm{this}\:\mathrm{month}\:\mathrm{with} \\ $$$$-\:\mathrm{Close}\:\mathrm{integration}\:\mathrm{symbols} \\ $$$$-\:\mathrm{Italic}\:\mathrm{greek}\:\mathrm{capital}\:\mathrm{letters} \\ $$$$-\:\mathrm{Ability}\:\mathrm{to}\:\mathrm{upload}\:\mathrm{GIF}\:\mathrm{images} \\ $$$$ \\ $$$$\mathrm{If}\:\mathrm{anyone}\:\mathrm{has}\:\mathrm{any}\:\mathrm{other}\:\mathrm{improvement} \\ $$$$\mathrm{suggestion}\:\mathrm{please}\:\mathrm{email}\:\mathrm{us}\:\mathrm{or}\:\mathrm{comment} \\ $$$$\mathrm{here} \\ $$

Question Number 224989 Answers: 1 Comments: 0

Calculate D_n = determinant (((x_1 +a_1 ^2 ),(a_1 a_2 ),…,(a_1 a_n )),((a_2 a_1 ),(x_2 +a_2 ^2 ),…,(a_2 a_n )),(⋮,⋮,⋱,⋮),((a_n a_1 ),(a_n a_2 ),…,(x_n +a_n ^2 )))

$$\mathrm{Calculate} \\ $$$${D}_{{n}} =\begin{vmatrix}{{x}_{\mathrm{1}} +{a}_{\mathrm{1}} ^{\mathrm{2}} }&{{a}_{\mathrm{1}} {a}_{\mathrm{2}} }&{\ldots}&{{a}_{\mathrm{1}} {a}_{{n}} }\\{{a}_{\mathrm{2}} {a}_{\mathrm{1}} }&{{x}_{\mathrm{2}} +{a}_{\mathrm{2}} ^{\mathrm{2}} }&{\ldots}&{{a}_{\mathrm{2}} {a}_{{n}} }\\{\vdots}&{\vdots}&{\ddots}&{\vdots}\\{{a}_{{n}} {a}_{\mathrm{1}} }&{{a}_{{n}} {a}_{\mathrm{2}} }&{\ldots}&{{x}_{{n}} +{a}_{{n}} ^{\mathrm{2}} }\end{vmatrix} \\ $$

Question Number 224985 Answers: 0 Comments: 0

A dairy man gives ada and amaka eight litre of milk to share and ada carry five litre container and amaka Carry three litre container how can ada and amaka share the eight litre of milk equally.

$$\mathrm{A}\:\mathrm{dairy}\:\mathrm{man}\:\mathrm{gives}\:\mathrm{ada}\:\mathrm{and}\: \\ $$$$\mathrm{amaka}\:\mathrm{eight}\:\mathrm{litre}\:\mathrm{of}\:\mathrm{milk}\:\mathrm{to}\:\mathrm{share}\: \\ $$$$\mathrm{and}\:\mathrm{ada}\:\mathrm{carry}\:\mathrm{five}\:\mathrm{litre}\:\mathrm{container} \\ $$$$\mathrm{and}\:\mathrm{amaka}\:\mathrm{Carry}\:\mathrm{three}\:\mathrm{litre} \\ $$$$\mathrm{container}\:\mathrm{how}\:\mathrm{can}\:\mathrm{ada}\:\mathrm{and}\:\mathrm{amaka} \\ $$$$\mathrm{share}\:\mathrm{the}\:\mathrm{eight}\:\mathrm{litre}\:\mathrm{of}\:\mathrm{milk}\:\mathrm{equally}. \\ $$

Question Number 224966 Answers: 2 Comments: 2

cos(π/7) − cos((2π)/7) + cos((3π)/7) = ? Help me please

$$ \\ $$$$\:\:\:{cos}\frac{\pi}{\mathrm{7}}\:−\:{cos}\frac{\mathrm{2}\pi}{\mathrm{7}}\:+\:{cos}\frac{\mathrm{3}\pi}{\mathrm{7}}\:=\:? \\ $$$$\:\:\:{Help}\:{me}\:{please} \\ $$$$ \\ $$

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