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encarnacion burke

encarnacion b.

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(a) Use the Intermediate Value Theorem to show that x4 − x − 1 = 0 has a root between x = 1 and x = 2. (b) Find this root using Newton-Raphson method with x0 = 1.5 (c) Stop when |xi − xi−1| < 0.0005 (d) For each iteration, show: ˆ The value of xi ˆ The value of f (xi) ˆ The absolute difference |xi − xi−1|

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The postfix expression 2 4 6 * + 15 - 21 7 / + = evaluates to ____. A. 4 B. 14 C. 24 D. 26

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(a) Complete the square by writing $x^2 - 8x - 11$ in the form $(x - h)^2 + k$. Note: the numbers $h$ and $k$ can be positive or negative. $x^2 - 8x - 11 = (x - \text{____})^2 + -11$

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Sabrina’s Kitchen just opened in Downtown Toronto. The owner, Sabrina, states the goal of her restaurant is “to have 10,000 new customers dining in the restaurant”. This may not be a good goal mainly because Group of answer choices 1. it is not specific. 2. it is not relevant. 3. it is not measurable. 4. it is not time-based. 5. it is not attainable.

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Question 4 The equation of the hyperbola that has a center at (2,9), a focus at (-3,9), and a vertex at (5,9), is

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Center lies in the fourth quadrant Tangent to x=7,y=-4, and x=17

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Question 7 Consider the vectors in $R^3$ $\begin{pmatrix} 1 \ 0 \ 0 \end{pmatrix}$, $\begin{pmatrix} 2 \ 1 \ -2 \end{pmatrix}$, $\begin{pmatrix} -1 \ 4 \ 8 \end{pmatrix}$ Find the value of scalars a, b and c for which $\begin{pmatrix} 1 \ 0 \ 0 \end{pmatrix}a + \begin{pmatrix} 2 \ 1 \ -2 \end{pmatrix}b + \begin{pmatrix} -1 \ 4 \ 8 \end{pmatrix}c = \begin{pmatrix} 0 \ 0 \ 0 \end{pmatrix}$ Select one: a = 9, b = -4, z = 1 None of those a = -6, b = -4, z = 1 a = -9, b = 4, z = 1 a = -9, b = -4, z = 1

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Write an equation of the circle with center (3,-4) and diameter 6.

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R programming question! Please solve this using R program. Don't use excel or handwritten. Burk (1980) started a considerable controversy when he claimed that the fluoridation of water in Birmingham, England, in 1964 caused a sharp increase in cancer death rates in that city. His claim was based on the crude cancer death rates per 100,000 of population that are shown in Data below for Birmingham and Manchester from 1959 to 1977. The water in Manchester was not fluoridated at any time in this period. (1) Apply Welch t-test to the simple differences of these BACI designed data. (2) Analyze these data using randomization test for the simple differences. i. From the data, randomly draw n=5 difference values to represent the before data and n=14 to represent the after data. ii. Repeat this procedure more than 500 times to generate a distribution of the difference in the means between before and after data. iii. Check the percentage of the differences equal to or larger than the observed difference. (3) Report your conclusions as to whether the difference between the cancer death rates for the two cities changed significantly in about 1964. (4) What can be some of the issues involved in determining whether a causal relationship between fluoridation and cancer was involved? CDR Year Birmingham Manchester 1959 219 228 1960 209 244 1961 207 243 1962 211 242 1963 215 247 1964 208 242 1965 221 254 1966 221 249 1967 228 260 1968 243 263 1969 237 260 1970 234 264 1971 248 284 1972 246 286 1973 267 290 1974 263 291 1975 254 297 1976 269 305 1977 266 301 Hint to solve this question: data <- read.csv("data.csv") data data.b <- data$D[1:5] data.b data.a <- data$D[6:19] data.a # t-test t.test(data.b, data.a) # random sampling sample(data$D, 19)

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2. \(-8\) - \(+9\) - \(-7\)?

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