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Question Number 201421    Answers: 1   Comments: 5

Question Number 201418    Answers: 2   Comments: 0

2025^(2025) = x (mod 17 )

$$\:\:\:\:\:\:\mathrm{2025}^{\mathrm{2025}} \:=\:\mathrm{x}\:\left(\mathrm{mod}\:\mathrm{17}\:\right) \\ $$

Question Number 201411    Answers: 0   Comments: 1

Question Number 201408    Answers: 3   Comments: 0

Question Number 201401    Answers: 0   Comments: 0

Question Number 201393    Answers: 1   Comments: 1

by diffention find f ′(z) of f(z) = (z)^(1/3)

$${by}\:{diffention}\:{find}\:{f}\:'\left({z}\right)\:{of}\:{f}\left({z}\right)\:=\:\sqrt[{\mathrm{3}}]{{z}} \\ $$

Question Number 201388    Answers: 2   Comments: 0

Question Number 201383    Answers: 0   Comments: 2

Question Number 201374    Answers: 1   Comments: 0

Question Number 201373    Answers: 2   Comments: 0

Question Number 201370    Answers: 0   Comments: 1

Question Number 201357    Answers: 0   Comments: 1

Question Number 201355    Answers: 1   Comments: 0

Question Number 201353    Answers: 1   Comments: 1

Question Number 201352    Answers: 3   Comments: 0

2023^(2023) = ... (mod 13)

$$\:\:\:\mathrm{2023}^{\mathrm{2023}} \:=\:...\:\left(\mathrm{mod}\:\mathrm{13}\right) \\ $$

Question Number 201351    Answers: 2   Comments: 0

Question Number 201350    Answers: 2   Comments: 0

Question Number 201349    Answers: 1   Comments: 0

Question Number 201348    Answers: 1   Comments: 0

Question Number 201347    Answers: 1   Comments: 0

Question Number 201346    Answers: 0   Comments: 0

Question Number 201343    Answers: 1   Comments: 0

Question Number 201341    Answers: 2   Comments: 0

if a>0 and m≥0 ∫_0 ^∞ ((cos(mx))/((x^2 +a^2 )^2 ))dx=?

$${if}\:{a}>\mathrm{0}\:\:{and}\:\:{m}\geqslant\mathrm{0} \\ $$$$\int_{\mathrm{0}} ^{\infty} \frac{{cos}\left({mx}\right)}{\left({x}^{\mathrm{2}} +{a}^{\mathrm{2}} \right)^{\mathrm{2}} }{dx}=? \\ $$

Question Number 201463    Answers: 1   Comments: 0

a = constant number: if ∫x ∙ f(x) dx = x^3 - x^2 + 4x - (a/5) find f(2) = ?

$$\mathrm{a}\:=\:\mathrm{constant}\:\mathrm{number}: \\ $$$$\mathrm{if}\:\:\:\int\mathrm{x}\:\centerdot\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{dx}\:=\:\mathrm{x}^{\mathrm{3}} \:-\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{4x}\:-\:\frac{\mathrm{a}}{\mathrm{5}} \\ $$$$\mathrm{find}\:\:\:\mathrm{f}\left(\mathrm{2}\right)\:=\:? \\ $$

Question Number 201462    Answers: 1   Comments: 0

Find: ∫_0 ^( 𝛑) (√(1 - 4 sin^2 (x/2) cos^2 (x/2))) dx = ?

$$\mathrm{Find}: \\ $$$$\int_{\mathrm{0}} ^{\:\boldsymbol{\pi}} \:\sqrt{\mathrm{1}\:-\:\mathrm{4}\:\mathrm{sin}^{\mathrm{2}} \:\frac{\mathrm{x}}{\mathrm{2}}\:\mathrm{cos}^{\mathrm{2}} \:\frac{\mathrm{x}}{\mathrm{2}}}\:\mathrm{dx}\:=\:? \\ $$

Question Number 201456    Answers: 1   Comments: 0

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