(a) Evaluate the following limits: +4-2 X (1) Evaluate lim x-0 (3 marks)

(ii) Evaluate lim ³ +8 1-2 t+2 . (4 marks)

(b) Find the domain and range of f(x) = 2 + √x-1. (3 marks)

(c) Find the values of the constants a and b, if possible, that will make the function f continuous everywhere.

ax+ 2b. x ≤ 0; f(x)=x² +3a-b, 0 2

(10 marks)

SUBMIT YOUR SOLUTIONS IN THE DROPBOX BELOW.

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations