[22] Problem 2 Find all value of x Є [0, 1] such that f(x) = 0 for f(x) = −0.000216747 +0.0072868x − 0.0977383x² + 0.664685׳ – 2.40773x² +4.46766x5 – 3.7091xº + x³ Make sure your answers are at most 10−6 away from the real solution. 1 def f(x): 2 34 return -0.000216747 + 0.0072868*x -0.0977383*x**2 + 0.664685*x**3· - · \ · · ·|· · · ·|· · · · 2.40773*x**4 + 4.46766*x**5 · - ·3.7091*x**6 + x**7 2.1) Find all the local minima and maxima of the above function. How do you figure out whether it is a local maximum or local minimum 1 [ ] + Code + Markdown 2.2) What is the global maximum and global minimum of the function above within the range x Є [0, 1] 1 [ ] Python Python Python

[5] For each of the following functions f find a simple function g such that f(n) = (g(n)). (a) fi(n)= (1000)2" +4". (b) f(n)=n+n logn + √n. (c) f3 (n) = log(n20) + (log n) ¹⁰. (d) fa (n) (0.99)" +n¹00. =

4.25. Use the equations in the book or the computer program of this chapter. Find the radiation efficiency of resonant linear electric dipoles of length (a) I = 1./50 (b) I=1/4 (c)l=1/2 (d)1 =1 Assume that each dipole is made out of copper [o = 5.7 x 107 S/m], has a radius of 10-42, and is operating at f = 10 MHz. Use the computer program Dipole of this chapter to find the radiation resistances.

Chapter 3: Practice Problems VIII. You are given the following C code to compute integer absolute value: int abs(int x) { } return x > (sizeof(int)*8-1); int comp = x mask; return comp; } A. What bit pattern does mask have, as a function of x? B. What numerical value does mask have, as a function of x? C. For what values of x do functions abs and opt abs return identical results? D. For the cases where they produce different results, how are the two results related? E. Show that with the addition of just one single arithmetic operation (any C operation is allowed) that you can fix opt abs. Show your modifications on the original code. (You can just provide the line that you will add). F. Are there any values of x such that abs returns a value that is not greater than 0? Which value(s)?