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Magazine Problem 130
[T] The density of an object is given by its mass divided by its volume: \(\rho=m / V\). a. Use a calculator to plot the volume as a function of density \((V=m / \rho),\) assuming you are examining something of mass \(8 \mathrm{~kg}\) ( \(m=8\) ). b. Evaluate \(\lim _{\rho \rightarrow 0^{+}} V(\rho)\) and explain the physical meaning.
Problem 131
For the following exercises, determine the point(s), if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$f(x)=\frac{1}{\sqrt{x}}$$
Problem 131
For the following exercises, determine the point \((s),\) if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$ f(x)=\frac{1}{\sqrt{x}} $$
Problem 132
For the following exercises, determine the point \((s),\) if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$ f(x)=\frac{2}{x^{2}+1} $$
Problem 132
For the following exercises, determine the point(s), if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$f(x)=\frac{2}{x^{2}+1}$$
Problem 133
For the following exercises, determine the point \((s),\) if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$ f(x)=\frac{x}{x^{2}-x} $$
Problem 133
For the following exercises, determine the point(s), if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$f(x)=\frac{x}{x^{2}-x}$$
Problem 134
For the following exercises, determine the point \((s),\) if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$ g(t)=t^{-1}+1 $$
Problem 134
For the following exercises, determine the point(s), if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$g(t)=t^{-1}+1$$
Problem 135
For the following exercises, determine the point \((s),\) if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$ f(x)=\frac{5}{e^{x}-2} $$
