The function f is defined by f(x) = a + bcos2x, for 0 ≤ x ≤ π. it is given that f(0)=−1 and f(1/2π) = 7. (i) find the values of a and b.

Ms. sutton recorded the word counts and scores of the top ten essays in a timed writing contest. the table shows her data. how does the word count of an essay relate to its score in the contest? word count tends to decrease as the score decreases. word count tends to increase as the score decreases. word count tends to remain constant as the score decreases. word count has no apparent relationship to the score of the essay.

The graph of f(x) = |x| is transformed to g(x) = |x + 11| - 7. on which interval is the function decreasing?

For the feasibility region shown below find the maximum value of the function p=3x+2y