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Question Number 208968 Answers: 0 Comments: 0

hello everyone. Im writing a project on the topic“ Solution of Nonlinear partial differential equation using charpits methods” curently writing chapter 2 but I′m a little bit confused about what ih should include in my theoretical framework. Any ideas?

$$ \\ $$$$\mathrm{hello}\:\mathrm{everyone}.\:\mathrm{Im}\:\mathrm{writing}\:\mathrm{a}\:\mathrm{project}\:\:\mathrm{on}\:\mathrm{the}\:\mathrm{topic}``\:\mathrm{Solution}\:\mathrm{of} \\ $$$$\mathrm{Nonlinear}\:\mathrm{partial}\:\mathrm{differential}\:\mathrm{equation}\:\mathrm{using}\:\mathrm{charpits}\:\mathrm{methods}'' \\ $$$$\mathrm{curently}\:\mathrm{writing}\:\mathrm{chapter}\:\mathrm{2}\:\mathrm{but}\:\mathrm{I}'\mathrm{m}\:\mathrm{a}\:\mathrm{little}\:\mathrm{bit}\:\mathrm{confused}\:\mathrm{about}\:\mathrm{what}\:\mathrm{ih} \\ $$$$\mathrm{should}\:\mathrm{include}\:\mathrm{in}\:\mathrm{my}\:\mathrm{theoretical}\:\mathrm{framework}.\:\mathrm{Any}\:\mathrm{ideas}? \\ $$

Question Number 208962 Answers: 1 Comments: 3

Question Number 208959 Answers: 5 Comments: 0

If z = − (1/2) + ((√3)/2) i Find (z^4 + 2z)∙(z^3 + z) = ?

$$\mathrm{If}\:\:\:\boldsymbol{\mathrm{z}}\:=\:−\:\frac{\mathrm{1}}{\mathrm{2}}\:\:+\:\:\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\:\boldsymbol{\mathrm{i}} \\ $$$$\mathrm{Find}\:\:\:\left(\mathrm{z}^{\mathrm{4}} \:+\:\mathrm{2z}\right)\centerdot\left(\mathrm{z}^{\mathrm{3}} \:+\:\mathrm{z}\right)\:=\:? \\ $$

Question Number 208951 Answers: 1 Comments: 0

2^(2024) : 2024 = ... (Remainder = ?)

$$\mathrm{2}^{\mathrm{2024}} \::\:\mathrm{2024}\:=\:...\:\left(\mathrm{Remainder}\:=\:?\right) \\ $$

Question Number 208945 Answers: 1 Comments: 0

4 cos^2 x − 4 cos^2 3x cos x + cos^2 3x = 0 [ 0 ; (π/2) ] Find: x = ?

$$\mathrm{4}\:\mathrm{cos}^{\mathrm{2}} \:\mathrm{x}\:−\:\mathrm{4}\:\mathrm{cos}^{\mathrm{2}} \:\mathrm{3x}\:\mathrm{cos}\:\mathrm{x}\:+\:\mathrm{cos}^{\mathrm{2}} \:\mathrm{3x}\:=\:\mathrm{0} \\ $$$$\left[\:\mathrm{0}\:;\:\frac{\pi}{\mathrm{2}}\:\right] \\ $$$$\mathrm{Find}:\:\:\mathrm{x}\:=\:? \\ $$

Question Number 208943 Answers: 1 Comments: 0

Question Number 208940 Answers: 1 Comments: 0

Question Number 208931 Answers: 1 Comments: 0

Question Number 208913 Answers: 3 Comments: 0

Question Number 208912 Answers: 0 Comments: 1

^2 ((π/(18)) ) + ^2 (((5π)/(18))) + ^2 (((7π)/(18)))=?

$$\:\: ^{\mathrm{2}} \left(\frac{\pi}{\mathrm{18}}\:\right)\:+\: ^{\mathrm{2}} \left(\frac{\mathrm{5}\pi}{\mathrm{18}}\right)\:+\: ^{\mathrm{2}} \left(\frac{\mathrm{7}\pi}{\mathrm{18}}\right)=? \\ $$

Question Number 208909 Answers: 0 Comments: 1

soit la fonction f(x)=x^3 +x definie sur R on note g(x)=f^(−1) (x) alors que la primitive G(x)=∫_0 ^x g(t)dt

$$\:\:\:\:\:\boldsymbol{{soit}}\:\boldsymbol{{la}}\:\boldsymbol{{fonction}}\:\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)=\boldsymbol{{x}}^{\mathrm{3}} +\boldsymbol{{x}}\:\:\boldsymbol{{definie}} \\ $$$$\boldsymbol{{sur}}\:\mathbb{R}\:\boldsymbol{{on}}\:\boldsymbol{{note}}\:\boldsymbol{{g}}\left(\boldsymbol{{x}}\right)=\boldsymbol{{f}}^{−\mathrm{1}} \left(\boldsymbol{{x}}\right) \\ $$$$\boldsymbol{{alors}}\:\boldsymbol{{que}}\:\:\boldsymbol{{la}}\:\boldsymbol{{primitive}}\:\boldsymbol{{G}}\left(\boldsymbol{{x}}\right)=\int_{\mathrm{0}} ^{\boldsymbol{{x}}} \boldsymbol{{g}}\left(\boldsymbol{{t}}\right)\boldsymbol{{dt}} \\ $$

Question Number 208900 Answers: 0 Comments: 0

Does anyone know of an intuition behind the integral form of the remainder in Taylor′s theorem?

$${Does}\:{anyone}\:{know}\:{of}\:{an}\:{intuition} \\ $$$${behind}\:{the}\:{integral}\:{form}\:{of}\:{the} \\ $$$${remainder}\:{in}\:{Taylor}'{s}\:{theorem}? \\ $$

Question Number 208915 Answers: 1 Comments: 0

Question Number 208896 Answers: 2 Comments: 0

Question Number 208891 Answers: 0 Comments: 0

(√( ( )^(1/ ) −( )^(1/ ) ))

$$\:\: \\ $$$$ \sqrt{ \sqrt[{ }]{ }−\sqrt[{ }]{ }}\: \\ $$

Question Number 208892 Answers: 2 Comments: 1

Find: (√(−16)) ∙ (√(−9)) = ?

$$\mathrm{Find}: \\ $$$$\sqrt{−\mathrm{16}}\:\:\centerdot\:\:\sqrt{−\mathrm{9}}\:\:=\:\:? \\ $$

Question Number 208880 Answers: 1 Comments: 0

Question Number 208876 Answers: 2 Comments: 7

The 𝚌a𝚕𝚎𝚗𝚍𝚊𝚛 𝚘𝚏 𝚝𝚑𝚎 𝚢𝚎𝚊𝚛 2024 𝚒𝚜 𝚝𝚑𝚎 𝚜𝚊𝚖𝚎 𝚏𝚘𝚛 𝙰.2044 𝙱.2032 𝙲.2040 𝙳.2036

The 𝚌a𝚕𝚎𝚗𝚍𝚊𝚛 𝚘𝚏 𝚝𝚑𝚎 𝚢𝚎𝚊𝚛 2024 𝚒𝚜 𝚝𝚑𝚎 𝚜𝚊𝚖𝚎 𝚏𝚘𝚛 𝙰.2044 𝙱.2032 𝙲.2040 𝙳.2036

Question Number 208872 Answers: 2 Comments: 0

Find the side of a triangle if the distances from an arbitrary point inside a regular triangle to its vertices are m, n and k. Help please

$$ \\ $$$$\:\:\:{Find}\:{the}\:{side}\:{of}\:{a}\:{triangle}\:{if}\:{the}\:{distances} \\ $$$$\:\:\:{from}\:{an}\:{arbitrary}\:{point}\:{inside}\:{a}\:{regular}\:{triangle}\: \\ $$$$\:\:\:{to}\:{its}\:{vertices}\:{are}\:{m},\:{n}\:{and}\:{k}. \\ $$$$\:\:{Help}\:{please} \\ $$

Question Number 208871 Answers: 3 Comments: 0

L=∫_0 ^1 (√((4−3x)/(4+5x)))dx

$${L}=\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\frac{\mathrm{4}−\mathrm{3}{x}}{\mathrm{4}+\mathrm{5}{x}}}{dx} \\ $$

Question Number 208866 Answers: 1 Comments: 1

Question Number 208861 Answers: 0 Comments: 2

Question Number 208855 Answers: 1 Comments: 0

Question Number 208852 Answers: 1 Comments: 0

Question Number 208849 Answers: 0 Comments: 0

Question Number 208842 Answers: 1 Comments: 1

does the rule of odd and even functions can be applied with improper integration? I=∫_(−∞) ^∞ xe^(−x^2 ) dx while f(x)= xe^(−x^2 ) is odd then I =0

$${does}\:{the}\:{rule}\:{of}\:{odd}\:{and}\:{even}\:{functions}\: \\ $$$${can}\:{be}\:{applied}\:{with}\:{improper}\:{integration}? \\ $$$${I}=\int_{−\infty} ^{\infty} {xe}^{−{x}^{\mathrm{2}} } {dx}\: \\ $$$${while}\:\:{f}\left({x}\right)=\:{xe}^{−{x}^{\mathrm{2}} } \:{is}\:{odd} \\ $$$${then}\:{I}\:=\mathrm{0} \\ $$

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