Consider a particle moving in the potential V(x) rectangular region of depth Vo, and width a, in which the particle can be bound. These parameters are related to the mass m of the particle in such a way that the lowest allowed energy E1is found at an energy about V0/4 above the "bottom." Use qualitative argu- ments to sketch the approximate shape of the corresponding eigenfunction t/i 1(x).

Im gonna fail 7th grade selective breeding 1. creates offspring which are genetically identical to the parent 2. is the process of breeding only organisms with desirable traits 3. involves the removal of the nucleus of a cell 4. combines traits from organisms of different species

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = x^2 + 7x + 10