Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- 4. Use first or second differences to determine the type of relation between x and y. 5 -1 2. 1 4. a) linear b) neither linear nor quadratic c) quadratic d) unable to determine 5. The graph of the quadratic relation y = x - 3x – 4 is shown below. For what value or values of x is y = 0? 5. a) x= -1 only b) x= -1 and x = -4 c) x = -4 only d) x= -1 and x = 4 6. The graph of y = x* is translated 3 units to the right. The equation for this new graph is 6. a) y=x² +3 b) y= 3x? c) y =x³ -3 d) y = (x-3)? 7. Decide which direction the graph of y = -x -6 opens, its vertex point, and what its translation from y =x is. 7. a) opens down, vertex at (0, -6), shifted b) opens down, vertex at (-6, 0 ), shifted down 6 units up 6 units c) opens up, vertex at (0, -6), shifted up 6 d) opens up, vertex at (-6,0), shifted units down 6 units 8. Which of the following equations represents an exponential relation? (Ready for Gr.11!? O) 8. a) y=x? b) y=x c) y= 6" d) y =x³ + 2x2 – 5x +1arrow_forwardR= {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)} is a relation on the set A = {1, 2, 3, 4}. 3.a. Show the digraph of R. 3 b. Show the matrx of R. 3.c. Determine whether R is reflexive, symmetric or transitive. You must give reasons for these answers. 100%arrow_forward9.12. Let S = {a, b, c}. Then R = {(a, a), (a, b), (a, c)} is a relation on S. Which of the properties reflexive, symmetric and transitive does the relation R possess? Justify your answers.arrow_forward
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