We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
• When you multiply two fractions (a/b) and (c/d) the product is ac/bd. Use a unit...
e) Use the triangle inequality to prove that (ac + bd)2 (a2 + b2)(c2 + d2) for all a, b, c, d e R. Total: [20 marks] e) Use the triangle inequality to prove that (ac + bd)2 (a2 + b2)(c2 + d2) for all a, b, c, d e R. Total: [20 marks]
(on this page, A, B, C, D are all positive integers and A/B <C/D.) We saw in the previous assignment that CA CB - AD 1 DB=BD ? BD (The numerator must be an integer, and since the two fractions are unequal, it can't be 0.) In other words, "the closest two unequal rational numbers and can be is BD" (9.1) A sort of average of two fractions: . Show that <A+O- We gave an intuitive explanation of this in...
Let R(A,B,C,D) be a relation with FDs F = {A—B, AC, C-A, B,C, ABC-D} Which of the following statements is correct ? (2 points) Select one: G = {A-B, B-C, C-A, AC=D } is a canonical cover of F H = { AC, CA, BC,BD} is a canonical cover of F. o F is a canonical cover of itself. O G and H are canonical covers of F. None of the above.
4. The beam AC shown in Figure 4 is supported by two columns AE and BD, and carries a load P (P-50 kN). The columns have the same square cross section hxh, Young's modulus E 2x105 MPa. Determine the minimum dimension h of the cross section such that both columns do not fail in elastic buckling. Use the factor of safety of 1.2 against buckling. Pin connections are used for ends E, A, and B as shown in Figure 4....
4. The beam AC shown in Figure 4 is supported by two columns AE and BD, and carries a load P (P-50 kN). The columns have the same square cross section hxh, Young's modulus E 2x105 MPa. Determine the minmum dimension h of the cross section such that both columns do not fail in elastic buckling. Use the factor of safety of 1.2 against buckling. Pin connections are used for ends E, A, and B as shown in Figure 4....
Q1. Given the points A: (0,0,2), B: (3,0,2), C: (1,2,1), and D: (2, 1,4 a) Find the cross product v - AB x AC. b) Find the equation of the plane P containing the triangle with vertices A, B, and C c) Find u the unit normal vector to P with direction v d) Find the component of AD over u and the angle between AD and u, then calculate the volume of the parallelepiped with edges AB, AC, AD...
4. The beam AC shown in Figure 4 is supported by two columns AE and BD, and carries a load P (P = 50 kN)、The columns have the same square cross section h xh, Young's modulus E = 2x105 MPa. Determine the minimum dimension h of the cross section such that both columns do not fail in elastic buckling. Use the factor of safety of 1.2 against buckling. Pirn connections are used for ends E, A, and B as shown...
Given two matrices A and B (whose entries are unknown), do the following and A13 (a) Given that A , compute AC. (Hint: Use the linearity property of matrix/vector multiplication.) (b) Given that BF -Eland BE-1,2] con pute BE b) Given that B = 2 (c) Why couldn't you solve this if the question asked you to use B 2 2 -11-13] to.it plite B (d) What must be true about the vectors given in (a) and (b) in order...
8. A different way to multiply two square matrices, called the Lie product and denoted A x B, is defined by A x B = AB - BA 1. (2 pts) Show A x B = -(B x A) 2. (4 pts) Show A ~ (B+C) (A x B) +(AXC) 3. (4 pts) Show Ax(B x C) + B x (C x A) + C (A x B) = 0
0.12 Villages A, B, C and D are connected by overhead telephone lines joining AB AC, BC, BD and CD. As a result of severe gales, there is a probability p (the same for each link) that any particular link is broken. (a) Show that the probability that a call can be made from A to B is