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Question Number 99113 Answers: 2 Comments: 0

solve y^(′′) +5y^′ −3y =x^2 sin(3x) with y(0) =0 and y^′ (0)=−1

$$\mathrm{solve}\:\mathrm{y}^{''} \:+\mathrm{5y}^{'} \:−\mathrm{3y}\:=\mathrm{x}^{\mathrm{2}} \:\mathrm{sin}\left(\mathrm{3x}\right)\:\:\mathrm{with}\:\mathrm{y}\left(\mathrm{0}\right)\:=\mathrm{0}\:\mathrm{and}\:\mathrm{y}^{'} \left(\mathrm{0}\right)=−\mathrm{1} \\ $$

Question Number 99102 Answers: 0 Comments: 21

Question Number 99097 Answers: 0 Comments: 1

Hello verry nice day for all of you god bless You pleas Can you use black Color shen You post Quation or Give answer is verry hard to read withe other colors

$${Hello}\: \\ $$$${verry}\:{nice}\:{day}\:{for}\:{all}\:{of}\:{you}\:{god}\:{bless}\:{You} \\ $$$${pleas}\:{Can}\:{you}\:{use}\:{black}\:{Color}\:{shen}\:{You}\:{post}\:{Quation}\: \\ $$$${or}\:{Give}\:{answer}\:{is}\:{verry}\:{hard}\:{to}\:{read}\:{withe}\:{other}\:{colors} \\ $$

Question Number 99095 Answers: 1 Comments: 0

Question Number 99094 Answers: 1 Comments: 0

find ((9+9((9+9((9+9((9+...))^(1/(3 )) ))^(1/(3 )) ))^(1/(3 )) ))^(1/(3 )) − (√(8−(√(8−(√(8+(√(8−(√(8−(√(8−(√(8−(√)))))))...))))))))

$$\mathrm{find}\:\sqrt[{\mathrm{3}\:\:}]{\mathrm{9}+\mathrm{9}\sqrt[{\mathrm{3}\:\:}]{\mathrm{9}+\mathrm{9}\sqrt[{\mathrm{3}\:\:}]{\mathrm{9}+\mathrm{9}\sqrt[{\mathrm{3}\:\:}]{\mathrm{9}+...}}}}− \\ $$$$\sqrt{\mathrm{8}−\sqrt{\mathrm{8}−\sqrt{\mathrm{8}+\sqrt{\mathrm{8}−\sqrt{\mathrm{8}−\sqrt{\mathrm{8}−\sqrt{\mathrm{8}−\sqrt{}}}}...}}}}\: \\ $$

Question Number 99089 Answers: 1 Comments: 0

((9+((9+((9+((9+...))^(1/(3 )) ))^(1/(3 )) ))^(1/(3 )) ))^(1/(3 )) −(√(8−(√(8−(√(8−(√(8−...))))))))

$$\sqrt[{\mathrm{3}\:\:}]{\mathrm{9}+\sqrt[{\mathrm{3}\:\:}]{\mathrm{9}+\sqrt[{\mathrm{3}\:\:}]{\mathrm{9}+\sqrt[{\mathrm{3}\:\:}]{\mathrm{9}+...}}}}−\sqrt{\mathrm{8}−\sqrt{\mathrm{8}−\sqrt{\mathrm{8}−\sqrt{\mathrm{8}−...}}}} \\ $$

Question Number 99077 Answers: 2 Comments: 2

Question Number 99072 Answers: 2 Comments: 0

Question Number 99058 Answers: 0 Comments: 6

Find a number that becomes N times smaller if the first digit is removed in the following cases: 1) N=17 2) N=27 3)N=37 4)N=47.

$${Find}\:{a}\:{number}\:{that}\:{becomes}\:{N}\:{times} \\ $$$${smaller}\:{if}\:{the}\:{first}\:{digit}\:{is}\:{removed} \\ $$$${in}\:{the}\:{following}\:{cases}: \\ $$$$\left.\mathrm{1}\right)\:{N}=\mathrm{17} \\ $$$$\left.\mathrm{2}\right)\:{N}=\mathrm{27} \\ $$$$\left.\mathrm{3}\right){N}=\mathrm{37} \\ $$$$\left.\mathrm{4}\right){N}=\mathrm{47}. \\ $$

Question Number 99057 Answers: 0 Comments: 0

Find a perfect number that starts with 31415.

$${Find}\:{a}\:{perfect}\:{number}\:{that}\:{starts} \\ $$$${with}\:\mathrm{31415}. \\ $$

Question Number 99055 Answers: 1 Comments: 4

What is the domain of f(x)=arcosh(((1+x^2 )/(1−x^2 ))) ?

$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{arcosh}\left(\frac{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }{\mathrm{1}−\mathrm{x}^{\mathrm{2}} }\right)\:? \\ $$

Question Number 99050 Answers: 1 Comments: 2

5^(5−3x) + 2^(x+5) = 5^(7−3x) −2^(x+6)

$$\mathrm{5}^{\mathrm{5}−\mathrm{3}{x}} \:+\:\mathrm{2}^{{x}+\mathrm{5}} \:=\:\mathrm{5}^{\mathrm{7}−\mathrm{3}{x}} \:−\mathrm{2}^{{x}+\mathrm{6}} \: \\ $$

Question Number 99045 Answers: 1 Comments: 0

{ ((x^2 +y^2 = 10)),((x^2 −5xy+6y^2 = 0)) :} find x &y

$$\begin{cases}{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{10}}\\{\mathrm{x}^{\mathrm{2}} −\mathrm{5xy}+\mathrm{6y}^{\mathrm{2}} \:=\:\mathrm{0}}\end{cases} \\ $$$$\mathrm{find}\:\mathrm{x}\:\&\mathrm{y}\: \\ $$

Question Number 99044 Answers: 3 Comments: 0

∫(1/(x^2 +1))dx=?

$$\int\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\mathrm{dx}=? \\ $$

Question Number 99025 Answers: 2 Comments: 4

Question Number 99023 Answers: 0 Comments: 3

Question Number 99011 Answers: 1 Comments: 2

Question Number 99007 Answers: 2 Comments: 0

Let I_y = ∫_(−2) ^2 [y^3 cos ((y/2)) + (1/2)]((√(4−y^2 )) ) dy then I_y = ???

$$\mathrm{Let}\:{I}_{{y}} \:=\:\underset{−\mathrm{2}} {\overset{\mathrm{2}} {\int}}\left[{y}^{\mathrm{3}} \:\mathrm{cos}\:\left(\frac{{y}}{\mathrm{2}}\right)\:+\:\frac{\mathrm{1}}{\mathrm{2}}\right]\left(\sqrt{\mathrm{4}−{y}^{\mathrm{2}} }\:\right)\:{dy}\: \\ $$$$\mathrm{then}\:{I}_{{y}} \:=\:??? \\ $$

Question Number 99005 Answers: 2 Comments: 0

Σ_(m = 1) ^∞ Σ_(n = 1) ^∞ (1/(mn(m+n))) ?

$$\underset{\mathrm{m}\:=\:\mathrm{1}} {\overset{\infty} {\sum}}\:\underset{\mathrm{n}\:=\:\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\mathrm{mn}\left(\mathrm{m}+\mathrm{n}\right)}\:?\: \\ $$

Question Number 99003 Answers: 3 Comments: 0

Given 5x−3y=6 . find min value of (x−1)^2 +(y+1)^2 ?

$${Given}\:\mathrm{5}{x}−\mathrm{3}{y}=\mathrm{6}\:.\:{find}\:{min}\:{value} \\ $$$${of}\:\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\left({y}+\mathrm{1}\right)^{\mathrm{2}} \:? \\ $$

Question Number 98993 Answers: 1 Comments: 0

Use the laplace tranform to solve (d^2 y/dx^2 ) + 5(dy/dx) + 6y = e^(−x) for y = 0, and (dy/dx) = 1 when x = 0

$$\mathrm{Use}\:\mathrm{the}\:\mathrm{laplace}\:\mathrm{tranform}\:\mathrm{to}\:\mathrm{solve}\:\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }\:+\:\mathrm{5}\frac{{dy}}{{dx}}\:+\:\mathrm{6}{y}\:=\:{e}^{−{x}} \\ $$$$\mathrm{for}\:\:{y}\:=\:\mathrm{0},\:\mathrm{and}\:\frac{{dy}}{{dx}}\:=\:\mathrm{1}\:\mathrm{when}\:{x}\:=\:\mathrm{0} \\ $$

Question Number 98988 Answers: 1 Comments: 0

Find the tangent at the poles for the polar equation r = a sin 2θ.

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{tangent}\:\mathrm{at}\:\mathrm{the}\:\mathrm{poles}\:\mathrm{for}\:\mathrm{the}\:\mathrm{polar} \\ $$$$\mathrm{equation}\:{r}\:=\:{a}\:\mathrm{sin}\:\mathrm{2}\theta. \\ $$

Question Number 98986 Answers: 1 Comments: 0

Is the sequence u_n =cos(((nπ)/(20))) divergent?

$$\mathrm{Is}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{u}_{\mathrm{n}} =\mathrm{cos}\left(\frac{\mathrm{n}\pi}{\mathrm{20}}\right)\:\mathrm{divergent}? \\ $$

Question Number 98984 Answers: 0 Comments: 0

Question Number 98983 Answers: 0 Comments: 2

let a,b,c be positive real numbers such that ab+bc+ac=3 prove the inquality ((a(b^2 +c^2 ))/(a^2 +bc))+((b(c^2 +a^2 ))/(b^2 +ac))+((c(b^2 +a^2 ))/(c^2 +ab))≥3

$${let}\:{a},{b},{c}\:{be}\:{positive}\:{real}\:{numbers}\:{such} \\ $$$${that}\:{ab}+{bc}+{ac}=\mathrm{3}\: \\ $$$${prove}\:{the}\:{inquality} \\ $$$$ \\ $$$$\frac{{a}\left({b}^{\mathrm{2}} +{c}^{\mathrm{2}} \right)}{{a}^{\mathrm{2}} +{bc}}+\frac{{b}\left({c}^{\mathrm{2}} +{a}^{\mathrm{2}} \right)}{{b}^{\mathrm{2}} +{ac}}+\frac{{c}\left({b}^{\mathrm{2}} +{a}^{\mathrm{2}} \right)}{{c}^{\mathrm{2}} +{ab}}\geqslant\mathrm{3} \\ $$

Question Number 98968 Answers: 0 Comments: 1

if x^x^x^x^(2020) = 2020. Solve for x

$$\mathrm{if}\:\mathrm{x}^{\mathrm{x}^{\mathrm{x}^{\mathrm{x}^{\mathrm{2020}} } } } =\:\mathrm{2020}.\:\:\mathrm{Solve}\:\mathrm{for}\:\mathrm{x} \\ $$$$ \\ $$

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