Practice Test 3 This is a practice test only, do not expect the test to look exactly like this. Problem 1. Let f(0) = 0 cos . (a) Find the linear approximation of f(I) at 0 = 0 (b) Estimate f(;) using part (a). Problem 2. Use a linear approximation to estimate the valuc of In (1.1) Problem 3. Find all critical values of cach of the following functions. (a) g ( t ) = #1 + +3 + + 2 + 1 (b) h(p) = p-1 p2 + 4 (c) f(t) = 3t - arcsint Problem 4. Let f(I) = 2 - x + 1 on the closed bounded interval [0, 3] (a) Make a list of all the critical values of f(r) that fall inside of the closed bounded domain. (b) Evaluate f(r) at the end points of the domain and at all the numbers from part (a) (c) Use the list of values from part (b) to find the absolute maximum and the absolute minimum of f (2) on this domain Problem 5. Find the absolute maximum and the absolute minimum for the function f(x) = x 2 In (r) on the closed bounded interval [7,4] H