An object of mass 0.1 kg is attached to a spring of negligible mass and is executing simple harmonic oscillation with an angular frequency of 3 rad/s. if vx(0) = +0.5 m/s and x(0) = −0.1 m, what is the phase φ? the general solution for such an oscillator is x(t) = a cos(ω t + φ).

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

David estimated he had about 20 fish in his pond. a year later, there were about 1.5 times as many fish. the year after that, the number of fish increased by a factor of 1.5 again. the number of fish is modeled by f(x)=20(1.5)^x. create a question you could ask that could be answered only by graphing or using a logarithm.

Common binomial factor of 6x(3x+7)+5(3x+7)