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Category: Operation Research

Given-that-a-b-and-c-are-real-numbers-that-stisfy-the-system-of-equation-above-a-b-2-1-16-c-2-1-16-b-c-2-1-25-a-2-1-25-c-a-2-1-

Question Number 119150 by abdul88 last updated on 22/Oct/20 $${Given}\:{that}\:{a},\:{b}\:{and}\:{c}\:{are}\:{real}\:{numbers}\: \\ $$$${that}\:{stisfy}\:{the}\:{system}\:{of}\:{equation}\:{above} \\ $$$$ \\ $$$${a}\:−\:\sqrt{{b}^{\mathrm{2}} \:−\:\frac{\mathrm{1}}{\mathrm{16}}\:}\:=\:\sqrt{{c}^{\mathrm{2}} \:−\:\frac{\mathrm{1}}{\mathrm{16}}\:}\: \\ $$$${b}\:−\:\sqrt{{c}^{\mathrm{2}} \:−\:\frac{\mathrm{1}}{\mathrm{25}}}\:=\:\sqrt{{a}^{\mathrm{2}} \:−\:\frac{\mathrm{1}}{\mathrm{25}}\:} \\ $$$${c}\:−\:\sqrt{{a}^{\mathrm{2}} \:−\:\frac{\mathrm{1}}{\mathrm{36}}\:}\:=\:\sqrt{{b}^{\mathrm{2}}…

1-5-2-15-a-b-5-2-find-a-b-

Question Number 182627 by manxsol last updated on 12/Dec/22 $$\left(\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}}\right)^{\mathrm{15}} =\frac{{a}+{b}\sqrt{\mathrm{5}}}{\mathrm{2}} \\ $$$${find}\:{a}+{b} \\ $$ Answered by Rasheed.Sindhi last updated on 12/Dec/22 $$\left(\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}}\right)^{\mathrm{15}} =\frac{{a}+{b}\sqrt{\mathrm{5}}}{\mathrm{2}}\:;\:{a}+{b}=? \\…

calculer-une-primitive-de-3x-x-2-3-

Question Number 178375 by doline last updated on 16/Oct/22 $${calculer}\:{une}\:{primitive}\:{de}\:−\mathrm{3}{x}/\sqrt{{x}^{\mathrm{2}} +\mathrm{3}} \\ $$ Commented by CElcedricjunior last updated on 16/Oct/22 $$\int\frac{−\mathrm{3}\boldsymbol{\mathrm{xdx}}}{\:\sqrt{\mathrm{3}+\boldsymbol{\mathrm{x}}^{\mathrm{2}} }}=−\frac{\mathrm{3}}{\mathrm{2}}\int\frac{\mathrm{2}\boldsymbol{{x}}}{\:\sqrt{\mathrm{3}+\boldsymbol{{x}}^{\mathrm{2}} }}\boldsymbol{{dx}}=−\frac{\mathrm{3}}{\mathrm{2}}\sqrt{\mathrm{3}+\boldsymbol{{x}}^{\mathrm{2}} }\:+\boldsymbol{{K}} \\…

etudier-la-fonction-suivante-4x-3-9x-2-6x-1-calculer-les-limites-puis-dresser-son-tableau-de-variation-

Question Number 178349 by doline last updated on 15/Oct/22 $${etudier}\:{la}\:{fonction}\:{suivante}\:\mathrm{4}{x}^{\mathrm{3}} −\mathrm{9}{x}^{\mathrm{2}} +\mathrm{6}{x}+\mathrm{1} \\ $$$${calculer}\:{les}\:{limites}\:{puis}\:{dresser}\:{son}\:{tableau}\:{de}\:{variation} \\ $$ Answered by Acem last updated on 16/Oct/22 $$ \\…