5.Complete the following short answer questions.. You do not need toshow any work.3a. Express the vector ( 2,2-8 ) in our 7jk format.b. Compute the following: 7i=c. Compute the following: ij =

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Answered: 5. Complete the following short answer…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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If c = 14, is the vector 2i + 5j in the span of ci – 12j and 7i – 6j? If c + 14, is the vector 2i + 5j in the span of ci – 12j and 7i – 6j? Show your work and justify your answer.
Determine the vector 2a – b if a = –4i + 5j and b = 7i + 2j.
Loblolly is a built-in R dataset that that records the growth of Loblolly pine trees. We are interested in the height column of Loblolly. The values in the height column can be converted into a vector of name x by the assignment: x <- Loblolly$height We can see the values in x by typing x and Return or Enter. Remember x <- Loblolly$height After this assignment, we can see the first six values in x by typing head(x) and Return or Enter a. Give the R code to assign the values in in the height column of Loblolly to the vector named x. (Easy-see above) b. Calculate the interquartile range of x using the R, IQR() function. c. Calculate the sum of the squares of the values in x. d. Calculate the sample mean of x. e. Calculate the sample variance of x. f. Calculate the sample standard deviation of x. f. Using R, calculate a trimmed mean of x. [ h.Enter your R script in the box below.
a. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =
. Create a vector named prob18a that has 10 elements of which the first is 8, the increment is 7, and the last element is 71. Then, assign elements of prob18a to a new vector prob18b such that prob18b has 7 elements. The first 4 elements of prob18b are the first 4 elements of the vector prob18a and the last 3 elements of prob18b are the last 3 elements of prob18a. Do not type the vector elements explicitly.

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5. Complete the following short answer questions.. You do not need to show any work. 3 a. Express the vector ( 2, 2 -8 ) in our 7jk format. b. Compute the following: i= c. Compute the following: ij =