5. Let f(x, y) = x+4 cos y. (a) Evaluate f (0, z/3), f.(0, z /3) and f,(0, x/3). (b) Use the results of (a) to obtain a linear approximation for the number f(0.16, r/3+0.01). [Use 3 = .7 and state your answer to 3 decimal places.]

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

Compute the first and second derivatives of the functions using the numerical equations. Solve the derivatives using backward, forward and central difference equations considering 3 and 5points.Use a step size h=0.25.

Compute the first and second derivatives of the functions using the numerical equations. Solve the derivatives using backward, forward and central difference equations considering 3 and 5points.Use as tep size h=0.25.