Consider the function f(x) = x 2 + cos(πx) − 5. (a) matlab has a built-in function for root-finding problems called fzero. to use fzero, you first need to create a function handle which can be done with an anonymous function. if your function handle is named fun, then you can calculate the root x using the following line of code x = fzero(fun, x0); where x0 is an initial guess. use fzero and an initial guess of x0 = 5 to find the root of f(x). we will consider this to be the "exact solution" for the rest of the problem. save the exact solution in a9.dat. (b) now find the root using newton’s method. use a maximum of 50 steps, a tolerance of 10−9 , and an initial guess of x0 = 5. calculate the error by subtracting the newton’s method solution from the exact solution obtained in part (a) and then taking the absolute value. make a 1 × 2 row vector that contains the error and the number of steps of newton’s method that were performed: error number of steps . save this vector in a10.dat

This technology is used to produce high-quality documents that look good on the computer screen and in print.

Read this excerpt from helen keller’s autobiography, the story of my life. have you ever been at sea in a dense fog, when it seemed as if a tangible white darkness shut you in, and the great ship, tense and anxious, groped her way toward the shore with plummet and sounding-line, and you waited with beating heart for something to happen? i was like that ship before my education began, only i was without compass or sounding-line, and had no way of knowing how near the harbour was. "light! give me light! " was the wordless cry of my soul, and the light of love shone on me in that very hour. . the morning after my teacher came she led me into her room and gave me a doll. the little blind children at the perkins institution had sent it and laura bridgman had dressed it; but i did not know this until afterward. when i had played with it a little while, miss sullivan slowly spelled into my hand the word "d-o-l-l." i was at once interested in this finger play and tried to imitate it. when i finally succeeded in making the letters correctly i was flushed with childish pleasure and pride. running downstairs to my mother i held up my hand and made the letters for doll. i did not know that i was spelling a word or even that words existed; i was simply making my fingers go in monkey-like imitation. in the days that followed i learned to spell in this uncomprehending way a great many words, among them pin, hat, cup and a few verbs like sit, stand and walk. based on this excerpt, which words best describe helen keller?

For a typical middle-income family, what is the estimated cost of raising a child to the age of 18? $145,500 $245,340 $304,340 $455,500