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Can-someone-solve-this-question-plz-solve-the-contour-integral-C-e-iz-z-3-dz-where-C-is-the-circle-z-2-

Question Number 74914 by arkanmath7@gmail.com last updated on 03/Dec/19 $${Can}\:{someone}\:{solve}\:{this}\:{question}\:{plz}? \\ $$$${solve}\:{the}\:{contour}\:{integral}\: \\ $$$$\int_{{C}} \:\frac{{e}^{{iz}} }{{z}^{\mathrm{3}} }\:{dz}\:{where}\:{C}\:{is}\:{the}\:{circle}\:\mid{z}\mid=\mathrm{2} \\ $$ Answered by mind is power last…

Question-9332

Question Number 9332 by tawakalitu last updated on 30/Nov/16 Answered by geovane10math last updated on 30/Nov/16 $${Answer}\:\mathrm{6}: \\ $$$${f}\left({x}\right)\:=\:\mathrm{4}{x}^{\mathrm{2}} \:−\:\mathrm{1}\:\:\:\:\:\:\:\:\:{g}\left({x}\right)\:=\:\mathrm{8}{x}\:+\:\mathrm{7} \\ $$$${f}\left(\mathrm{2}\right)\:=\:\mathrm{4}\left(\mathrm{2}\right)^{\mathrm{2}} \:−\:\mathrm{1}\:=\:\mathrm{4}\left(\mathrm{4}\right)\:−\:\mathrm{1}\:=\:\mathrm{15} \\ $$$${g}\left({f}\left(\mathrm{2}\right)\right)\:=\:{g}\left(\mathrm{15}\right)\:=\:\mathrm{8}\left(\mathrm{15}\right)\:+\:\mathrm{7}\:=\:\mathrm{120}\:+\:\mathrm{7}\:\%…

find-the-value-of-k-2-5-k-2-

Question Number 9265 by j.masanja06@gmail.com last updated on 26/Nov/16 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\:\:\:\:\:\:\:\sum_{\mathrm{k}=\mathrm{2}} ^{\mathrm{5}} \mathrm{k}^{\mathrm{2}} \\ $$ Answered by mrW last updated on 27/Nov/16 $$\mathrm{generally}\:\mathrm{for}\:\mathrm{1}\leqslant\mathrm{m}\leqslant\mathrm{n} \\ $$$$\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}}…