Hi I need help with these 4 questions:

1.

The linear approximation to f(x) = cos x - e sin x at the point x = 0 is given by which of the following? OL(x) = x - 1 OL(x) = x+1 OL(X) = x+7 OL(x) =-x+1 OL(x) = 2x - 1Let f be a function such that f(2) = 3. The graph of the derivative off is given below: Using a linear approximation to estimate the value of f(1.9), we obtain the approximation 0 2.9 Using a linear approximation to estimate the value of f(1.9), we obtain the approximation Use the degree 2 MacLaurin polynomial of f(x) = cos(2x) to approximate cos(2). \\ . (Enter a number for your answer.) A 5-th degree Taylor polynomial of a function f(x) at x = 0 could potentially have the form (select all that apply): O Ts(x) = x6 OT's( x) = x5 OTS( x) = 1+x+ 2 7 3 -4 + 3 ! + 4! + 5 ! OT5(x) = x