1) Use the linearization L(x) = -2x-4 of the function f(x) = 2x^2 - 2x -4 at the point x=0, to estimate the function at the point x=0.5. Which of the following gives the error of the approximation?


2) Find the absolute minimum of the function f(x) = 5x^3 - 20x + 10 on the interval [-4,3]. Round to 3 sig figs.

3)Let p2(x) be the degree-2 Taylor polynomial of f(x) = e^(-x)x^2 at x= -1
To 3 sig figs, the value of p2 (-0.5) - f(-0.5) is..

4) If the electromagnetic potential E in a pulsed plasma with a frequency w is given by the formula E = ln(ln(w+4)), use differentials to estimate the percent error in E when w=20 and the unccertainty in w is dw= 0.1

5) Use differentials to obtain a reasonable estimate for square of 3 + (13/60)

6) Which of the following is the first iterate of Newton's Method for the function g(x) = 2x - 3x^3 with starting point x0= 3

Please PM me if you want this job, and if your confident you can do it, i just need the answers by tonight THX