Determine the largest interval (a, b) for which theorem 1 guarantees the existence of a unique solution on (a, b) to the initial value problem below. x (x plus 8 )y triple prime minus 4 xy prime plus yequals0, y(negative eight ninths )equals1, y prime(negative eight ninths )equals0, y double prime(negative eight ninths )equals0.

Aline that intersects one of two parallel lines intersects the other also always sometimes never

James is playing his favorite game at the arcade. after playing the game 3 times, he has 8 tokens remaining. he initially had 20 tokens, and the game costs the same number of tokens each time. the number t of tokens james has is a function of g, the number of games he plays. write the function’s formula? t=

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?