A circular wire loop of radius LaTeX: RR lies in the xy-plane with the z-axis running through its center. There is initially no magnetic field present. At LaTeX: t=0t = 0 a magnetic field given by LaTeX: \vec{B}=Ce^t\hat{x}+Dt^2\hat{z}B → = C e t x ^ + D t 2 z ^ (where LaTeX: CC and LaTeX: DD are constants) is turned on. Note that this means that the field magnitude only depends on time, and that the field initially points along LaTeX: \hat{x}x ^. What is the magnitude of the emf induced in the current loop?

Apackage of supplies is dropped from a plane, and one second later a second package is dropped. neglecting air resistance, the relative velocity of the 1st package viewed from the second will 56) a) increase. b) be constant. c) be zero. d) depend upon their weight. e) decrease

Which lists the main components of darwin’s theory of evolution? a. random mutations drive evolution; the evolution of a population happens slowly; organisms have common ancestors; organisms do not change. b. natural selection drives evolution; the evolution of a population happens slowly; organisms have common ancestors; organisms change over time. c. natural selection drives evolution; the evolution of a population happens rapidly; organisms have common ancestors; organisms change over time. d. random mutations drive evolution; the evolution of a population happens rapidly; organisms have common ancestors; organisms do not change.

Which changes of state do the labels represent? a: b: c: