I need help with these 5 calculus questions:

Suppose that f and g are one-to-one differentiable functions. Consider the following table of values: x f' g g 0 2 5 4 1 3 2 3 -3 2 5 3 1 -2 3 10 4 0 -1 If h(x) = f-(x), then h'(2) equals O1 Oo O 15 O O - 2Question 2 (1 point) The linear approximation of f(x) = cos 2 + In(x) at x = 1 is OL(X) = x- 1 OL(x) = 0 OL(x) = (1 - 7 ) (x - 1) OLX) = = x+1- N OL(X) = In(x) +7 - 1)Question 3 (1 point) The degree three Taylor polynomial of a function f about x = it is: T3 (x) = 1 - (x -1)+2(x - 1)2 -3(x-10)3. Which assertion can be deduced from this information? Of ( 1 ) = 1 Of " ( ) = 8 Of' ( T ) = 2 Of (0) = 1 + + 272+ 373 Of"(7) = -18Question 4 (1 point) 71' Use one iteration of Newton's Method with an initial guess of x1 = E to approximate the solution to sin(x) = x. The approximation, x2 equals Q o O 31' Q It is not possible to compute xz. Q 2 Q 1 Question 5 (1 point) A cylinder of diameter 80m and unknown height is lled with water. The cylinder starts leaking, and the height of water in this cylinder decreases by 0.250m per minute. What is the rate at which the volume of water is leaking from the cylinder, in centimetres cubed per minute, when the level of water is down to 30m? Hint: The volume, V, of a cylinder of radius r and height h is V = xrzh