Discuss the existence and uniqueness of a solution to the differential equation t (t minus 5 )y double prime plus 2 t y prime minus y equals t squared that satisfies the initial conditions y (2 )equals Upper Y 0, y prime (2 )equals Upper Y 1 where Upper Y 0 and Upper Y 1 are real constants. Select the correct choice below and fill in any answer boxes to complete your choice. A. A solution is guaranteed only at the point t 0equals nothing because the functions p(t)equals nothing, q(t)equals nothing, and g(t)equals nothing are simultaneously defined at that point. B. A solution is guaranteed on the interval nothingless thantless than nothing because it contains the point t 0equals nothing and the functions p(t)equals nothing, q(t)equals nothing, and g(t)equals nothing are simultaneously continuous on the interval. C. A solution is guaranteed on the interval nothingless thantless than nothing because it contains the point t 0equals nothing and the functions p(t)equals nothing, q(t)equals nothing, and g(t)equals nothing are equal on the interval.

Sole with work in 10 years, the average number of hours of tv watched per week by teenagers dropped from 23.9 to 21.4. find the percent of change.

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft.what is the area of the stage? enter your answer in the box. ft²