Category: Algebra

Question Number 146744 by mathdanisur last updated on 15/Jul/21 $$if\underset{\mathit{a}}{\stackrel{\mathit{b}}{\int }}f\left(x\right)dx=7and\underset{\mathit{a}}{\stackrel{\mathit{b}}{\int }}4g\left(x\right)dx=-6$$$$find\underset{\mathit{a}}{\stackrel{\mathit{b}}{\int }}(3f\left(x\right)-8g\left(x\right))dx=?$$ Answered by liberty last updated…

Question Number 146730 by puissant last updated on 15/Jul/21 Commented by puissant last updated on 15/Jul/21 $$\mathrm{merci}$$ Commented by Olaf_Thorendsen last updated on…

Question Number 146725 by mathdanisur last updated on 15/Jul/21 $$cos\left(x\right)\cdot cos\left(3x\right)=cos\left(5x\right)\cdot cos\left(7x\right)$$$$\Rightarrow x=?$$ Answered by Olaf_Thorendsen last updated on 15/Jul/21 $$\cos x.\cos 3x=\cos 5x.\cos 7x$$$$\frac{\mathrm{1}}{\mathrm{2}}\left[\mathrm{cos}\left({x}−\mathrm{3}{x}\right)+\mathrm{cos}\left({x}+\mathrm{3}{x}\right)\right]\:= \…

Question Number 146672 by mathdanisur last updated on 14/Jul/21 Answered by Olaf_Thorendsen last updated on 15/Jul/21 $$\mathrm{S}=\frac{\underset{n=1}{\sum ^x}n{(n+1)}^2}{\underset{n=1}{\sum ^x}{n}^2(n+1)}$$$$\mathrm{S}\:=\:\frac{\underset{{n}=\mathrm{1}}…

Question Number 146677 by mathdanisur last updated on 14/Jul/21 $$iff\left(x\right)=3^{\mathit{x}+1}find\frac{f(2x+1)}{f(x+1)}=?$$ Answered by hknkrc46 last updated on 14/Jul/21 $$▸\mathit{f}(2\mathit{x}+1)=3^{(2\mathit{x}+1)+1}=3^{2\mathit{x}+2}$$$$\blacktriangleright\:\boldsymbol{{f}}\left(\boldsymbol{{x}}\:+\:\mathrm{1}\right)\:=\:\mathrm{3}^{\left(\boldsymbol{{x}}\:+\:\mathrm{1}\right)\:+\:\mathrm{1}} \:=\:\mathrm{3}^{\boldsymbol{{x}}\:+\:\mathrm{2}}…