In numerical methods, one source of error occurs when we use an approximation for a mathematical expression that would otherwise be too costly to compute in terms of run-time or memory resources. One routine example is the approximation of infinite series by a finite series that mostly captures the important behavior of the infinite series. In this problem you will implement an approximation to the as represented by the following infinite series, exp(x) = summation x^n/n!Your approximation will be a truncated finite series with terms, For the first part of this problem, you are given a random real number x and will investigate how well a finite series expansion for exp(2) approximates the infinite series. • Compute exp(x) using a finite series approximation with N € (0,9) C N (i. e. N is an integer). • Save the 10 floating point values from your approximation in a numpy array named exp_approx. exp_approx should be of shape (10,) and should be ordered with increasing N (i. e. the first entry of exp_approx should correspond to exp(x, N) when N = 0 and the last entry when N = 9).

Write an assembly program with the following specifications.a). in the main block, you should have two registers r4 and r5. they should be checked in an infinite loop. if r4 is greater than r5, then the greater subroutine will be called. if r4 is less than r5, then the less subroutine will be called. if r4 equals r5, then no operations will be done

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?

What are two ways to access the options for scaling and page orientation? click the home tab, then click alignment, or click the file tab. click the file tab, then click print, or click the page layout tab. click the page layout tab, or click the review tab. click the review tab, or click the home tab?