Category: Algebra

Question Number 145337 by physicstutes last updated on 04/Jul/21 $$\mathrm{The}\mathrm{Area}\mathrm{of}\mathrm{a}\mathrm{square},A\left(t\right),\mathrm{is}\mathrm{increased}\mathrm{at}\mathrm{a}\mathrm{rate}$$$$\mathrm{equal}\mathrm{to}\mathrm{its}\mathrm{perimeter},A\left(t\right)\mathrm{satisfies}\mathrm{the}\mathrm{differential}$$$$\mathrm{equation}\frac{dA}{dt}=$$$$\mathrm{A}.4A\mathrm{B}.2A\mathrm{C}.-4\sqrt{A}\mathrm{D}.4\sqrt{A}$$ Answered by gsk2684 last updated on 06/Jul/21…

Question Number 145324 by mathdanisur last updated on 04/Jul/21 $$\int \frac{dx}{1+x^6}=?$$ Answered by Olaf_Thorendsen last updated on 04/Jul/21 $$\frac{\mathrm{1}}{\mathrm{6}}\mathrm{atan}\left(\frac{{x}}{\mathrm{1}−{x}^{\mathrm{2}} }\right)+\frac{\mathrm{1}}{\mathrm{3}}\mathrm{atan}{x}+\frac{\sqrt{\mathrm{3}}}{\mathrm{12}}\mathrm{ln}\mid\frac{{x}^{\mathrm{2}} +\sqrt{\mathrm{3}}{x}+\mathrm{1}}{{x}^{\mathrm{2}} −\sqrt{\mathrm{3}}{x}+\mathrm{1}}\mid+\mathrm{C} \…

Question Number 14245 by Ruth1 last updated on 30/May/17 $$\mathrm{pls}\mathrm{no};6,7,10,11,\mathrm{and}13$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 14244 by Ruth1 last updated on 30/May/17 Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 30/May/17 $$⊚10$$$$\frac{jx}{1+jy}=\frac{3x+j4}{x+3y}\Rightarrow x^{2}j+3xyj=3x+j4+3xyj+4{yj}^2$$$$\Rightarrow (x^2-4)-(3x-4y)=0\Rightarrow$$$$\begin{cases}{{x}^{\mathrm{2}}…

Question Number 79757 by mathocean1 last updated on 27/Jan/20 $$\mathrm{And}\mathrm{equation}\mathrm{of}\mathrm{a}\mathrm{circle}\mathrm{is}$$$$x^2+y^2-2x+4y=0.$$$$\left(T\right)\mathrm{is}\mathrm{his}\mathrm{his}\mathrm{tangent}\mathrm{line}\mathrm{at}\mathrm{M}(x_0;y_0)$$$$passingbyD(2;1).$$$$$$$$\left.\mathrm{a}\right)\:\mathrm{Show}\:\mathrm{that}\:\mathrm{y}\:\mathrm{verify}\:\mathrm{y}_{\mathrm{0}} ^{\mathrm{2}}…