![calculus - Show that $z = \ln (x^2+y^2) +2\tan^{-1}(y/x)$ satisfies the laplaces's equation. - Mathematics Stack Exchange calculus - Show that $z = \ln (x^2+y^2) +2\tan^{-1}(y/x)$ satisfies the laplaces's equation. - Mathematics Stack Exchange](https://i.stack.imgur.com/rdus3.jpg)
calculus - Show that $z = \ln (x^2+y^2) +2\tan^{-1}(y/x)$ satisfies the laplaces's equation. - Mathematics Stack Exchange
![SOLVED:The figure shows the graphs of y=lnx, y=lnx^2, y=ln2 x and y=ln2 . Match each function with its graph. (The graphs are labeled A through D.) Explain. THE FIGURE CAN'T COPY. SOLVED:The figure shows the graphs of y=lnx, y=lnx^2, y=ln2 x and y=ln2 . Match each function with its graph. (The graphs are labeled A through D.) Explain. THE FIGURE CAN'T COPY.](https://cdn.numerade.com/previews/ab4b1a76-326f-4511-be81-a7ae60e0735a_large.jpg)
SOLVED:The figure shows the graphs of y=lnx, y=lnx^2, y=ln2 x and y=ln2 . Match each function with its graph. (The graphs are labeled A through D.) Explain. THE FIGURE CAN'T COPY.
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![Find the area, A, between the curves y = ln(x) and y = ln(2x) from x = 1 to x = 4. | Homework.Study.com Find the area, A, between the curves y = ln(x) and y = ln(2x) from x = 1 to x = 4. | Homework.Study.com](https://homework.study.com/cimages/multimages/16/ln2x1332106411839238716.jpg)