91Ó°ÊÓ

For the following exercises, find the work done. What is the work done moving a particle from \(x=0\) to \(x=1 \mathrm{m}\) if the force acting on it is \(F=3 x^{2} \mathrm{N} ?\)

For the following exercises, find the work done. What is the work done moving a particle from \(x=0\) to \(x=1 \mathrm{~m}\) if the force acting on it is \(F=3 x^{2} \mathrm{~N}\) ?

For the following exercises, find the mass of the onedimensional object. A wire that is \(2 \mathrm{ft}\) long (starting at \(x=0\) ) and has a density function of \(\rho(x)=x^{2}+2 x \mathrm{lb} / \mathrm{ft}\).

For the following exercises, find the work done. A wire that is 2 ft long (starting at \(x=0 )\) and has a density function of \(\rho(x)=x^{2}+2 x\) lb/ft

For the following exercises, find the work done. A car antenna that is 3 ft long (starting at \(x=0 )\) and has a density function of \(\rho(x)=3 x+2\) lb/ft

For the following exercises, find the mass of the onedimensional object. A car antenna that is \(3 \mathrm{ft}\) long (starting at \(x=0\) ) and has a density function of \(\rho(x)=3 x+2 \mathrm{lb} / \mathrm{ft}\).

For the following exercises, find the mass of the onedimensional object. A metal rod that is 8 in. long (starting at \(x=0\) ) and has a density function of \(\rho(x)=e^{1 / 2 x} \mathrm{lb} / \mathrm{in}\).

For the following exercises, find the mass of the onedimensional object. A pencil that is 4 in. long (starting at \(x=2\) ) and has a density function of \(\rho(x)=5 / x\) oz/in.

For the following exercises, find the mass of the onedimensional object. A ruler that is 12 in. long (starting at \(x=5\) ) and has a density function of \(\rho(x)=\ln (x)+(1 / 2) x^{2}\) oz/in.

For the following exercises, find the work done. A ruler that is 12 in. long (starting at \(x=5 )\) and has a density function of \(\rho(x)=\ln (x)+(1 / 2) x^{2}\) oz/in. For the following exercises, find the mass of the two dimensional object that is centered at the origin.