(a) Use the function optim()to compute β^ using initial value (.25,.75). (b) Again, starting with (.25,.75) find the next value when using the Newton-Raphson algorithm. (c) Assume that β0=0, and plot the likelihood function L(β1) as a function of β1. (d) Again, assume β0=0 and compute β^1 using uniroot(), a grid search, and by the Newton-Raphson algorithm. You can use the plot in part (c) to find a good initial value.

Identify the polynomial. a2b - cd3 a.monomial b.binomial c.trinomial d.four-term polynomial e.five-term polynomial

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.

Which table shows a proportional relationship between miles traveled and gas used?