Chapter 2.2, Problem 5PR

5. Consider the following vectors 0.1 3.2 -0-0-0 = 5.4 6.0 = z= 3 0.1 For each of exercises a-e, either compute the desired quantity by hand with work shown or explain why the desired quantity is not defined. (a) 10x (b) 10-27 (c) J+Z (d) (x, y) (e) (x, z)

Consider the graph/network plotted below. 1 6 5 3 Explicitly give (i.e., write down all of the entries) the adjacency matrix A of the graph.

. Given the function f: XY (with X and Y as above) defined as f(2) = 2, f(4) = 1, ƒ(6)=3, ƒ(8) = 2, answer the following questions. Justify your answers. (a) [4 points] Is f injective? (b) [4 points] Is f surjective? (c) [2 points] Is f bijective?

1. Let 15 -14 A = -10 9 13-12 -8 7 11 15 -14 13 -12 -6 and B = -10 9 -8 7 -6 5 -4 3 -2 E 5 -4 3 -2 1 Explicitly give the values of A2,3, A1,5, and B1,4- Is A a 5 x 3 matrix? Explain your answer. Are A and B (mathematically) equal? Explain your answer.

Given the following set X = {2, 4, 6, 8} and Y = {1, 2, 3}, explicitly give (e.g., write down the sets with numerical entries) of the outputs of the following requested set operations: (a) [2 points] XUY (Union) (b) [2 points] XY (Intersection) (c) [3 points] X\Y (Difference) (d) [3 points] XAY (Symmetric Difference)

For what values of k will the equation (k + 1)x² + 6kx + 2k² - x = 0 have: a) one root equal zero b) one root the reciprocal of the other c) roots numerically equal but of opposite sign

1) Find The inverse The domain of m(x) = tion and of the function The inverse function 3- √x-a

Graph the following function. Please also graph the asymptote. Thank you.

File Edit View History Bookmarks Profiles Tab Window Window Help Things Quadratics! Part 1 X SM◄))) 61% Fri 25 student.desmos.com/activitybuilder/instance/67b739e7356cae7898fd0dbd/student/67b8f115811d42186c239e23#screenid=41a95 ngs Quadratics! Part 1: Parabolas Mitchell 30 30 foo feet 20- 20 10 0 -10 FEB 21 3 10 10 80 FS F3 X Intercepts #2 20 20 Approximately how tall is the shooter? > Which intercept did you use to solve the above problem? x-intercept y-intercept 30 feet Explain your thinking. 1 √E Submit 00000 acBook stv 399 ? DOD 000 F4 % 5 W E R F5 A F6 F7 F9 & * 7 8 9 0 Y U C 014