Solution:
6. (5 pts) [MATH 4620] Use a rational function r(r) for Padé approximations of f(x)= x sinx with degrees m Compare the result at xi = 0.1 i, for i n = 3 = 1,2, 3 ,4,5, with the actual values f(xi...
7 points Question 3. An Unusual Integrable Function (Show Working) Consider the function f : 10, 11 → R defined by 1 if r-for some nEN; f(x) = 0 for all other x E [0,1 (1 subpts) (a) Draw a rough diagram of the graph of f. When we study the formal definition of the continuity of a function later in the course, we will be able to prove that this function is discontinuous at those domain values r such...
6. [10 pts] The table below gives the values of a function f(x, y) on the square region R-[0,4] x [0,4]. -2-4-3 You have to approximate f(r, y) dA using double Riemann sums. Riemann sum given (a) What is the smallest AA ArAy you can use for a double the table above? (b) Sketch R showing the subdivisions you found in part (a). (e) Give upper and lower estimates of y) dA using double Riemann sums with subdivisions you found...
5. (20 pts) Suppose that we have a dataset {(yi, x, Tt2, X;3), i,1,... ,n} together with some general belief on the data that higher (lower) value of each covariate x; (j = 1,2,3) will tend to result in higher (lower) y. In this study, we are interested in predicting y; from the total set of the regressors x;i, X;2, xt3. So, we apply the multiple linear regression yi = Bo+B1x1 +B2x52 + B3x43 + t to the data and...
Actice: Mutations - A -P--I--3--H--N--R--6--8- --11--11-- - ----- CGI GATTIOTITATITCATCCARAGATCTGGGC ATGACHATAGCTATCTACH --6-- -F-- - --5--5--K -3 -4--G-- ----y--5--4--1--0 -- -- SOBOTACECCO THACACOLAGACICITITCAAGACTACATTAASTCCTATTTGGAACAAGCGAC CG 3 -D-P-- -- -- - -- -- --I--K -3-wY--1-- --0-- --3--2 MES CATCH.CCTCRIGGST SELCATOGICCITGGGGCCGCGADGGLAGGCGCSGTCC CACHGCOCTOCT 3GC --3-- -- -- -- -- -- - - -- 173 W 179 AGGCT GTGAGTT AGTIGCTGIGTCGI CACAAGAGAAAGCAGCTCCTGAAGAARSCAGOGI -s--1 -1 - 6 -R- -11--1--2--3--0--I -F - 6--6--8--0--p RTCCTCATCCAGAAGAGGA TACCACAGCHET 13 -1 1 -- --3--R-- -- - BAGGATACCACAGTGTATORGAGCCWT TATAA........ -- -- -- - -...
f) (6 pts) Which of the following mixtures will make a buffer? (Circle only one!) r? Circle onlyone f)(6 1000 mL fh following mix oc m will make a b S a) 100 mL of 1.0 M HCI +100 mL of 1.0 M NaOH +100 mL of 0.50 M HF 100 mL of 1.0 M HCI c)100 mL of 1.0 M HF +100 mL of 0.50 M NaOH 100 mL of 1.0 M HF +100 mL of 1.0 M NaOH...
Assume that we have three independent observations: where Xi ~ Binomial(n 7,p) for i E { 1.2.3). The value of p E (0, 1) is not known. When we have observations like this from different, independent ran- dom variables, we can find joint probabilities by multiplying together th ndividual probabilities. For example This should remind you the discussion on statistical independence of random variables that can be found in the course book (see page 22) Answer the following questions a...
i need help on question 3 to 22 please. Midterm ex review. MATH 101 Use the following information to answer the next four exercises. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 82, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100,740 1. Do you see any outliers in this data? If so, how would...
Nombre . Responde las siguientes preguntas A) SI P(A 6 B)-1/3 P(B)- 1/4 y P(Ay B)-1/5, halle P(A) B ) Cual es la probabilidad de lanzar un par de dados y que la suma de los resultados de los dos dados sea 7 C ) Una prueba de selección múltiple tiene cinco posibles respuestas de las cuales una es correcta, si 13 estudiantes eligen las respuestas al azar. Cuaál es la probabilidad de que los 13 escojan la respuesta correcta?...