Linear equation, only solve a,b please

. :[12 points] Consider a population of Jabberwockies. Jabberwockies emerge from eggs in the spring, breed and lay eggs in the autumn, and die in the winter. Their eggs hatch the following spring and the cycle repeats. Assume that each Jabberwocky lays a xed number of eggs E, and that a proportion v of these eggs hatch the following spring (the rest are not viable or are eaten). Also, suppose that pesticide is sprayed each summer and kills a proportion p of adult Jabberwockies before they breed. Density-dependence can be neglected. a. Write down a difference equation model for this population, where the variable is the number of jabberwockies in the summer of year n before spraying. b. Solve the model equations. 0. Assume that 10 Jabberwockies emerged from eggs in year 0. If v = 0.1, E=50, and p=0.7, then how many mosquitoes will be emerging from eggs in years 10 and 15? How many will emerge in years 10 and 15 ifp=0.85? d. Write down the requirement on p (in terms of E and v) which guarantees that the population will eventually die out. If E=50 and v=0.2, then what proportion of Jabberwockies must be killed each summer in order that the population eventually dies out