Concepts of Database Management
Concepts of Database Management
8th Edition
ISBN: 9781285427102
Author: Philip J. Pratt, Mary Z. Last
Publisher: Cengage Learning
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Chapter 3, Problem 2CATC
To determine

To write SQL query to list the name and start location of trip that has the type biking.

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1. Show that S₁ = S2 if and only if S₁ U S2 = S₁n S2. 2. Show that if S1 and S2 are finite sets with |S₁ = n and |S₂| = m, then S₁ U S2 ≤n+m. 3. If language L is regular and is given by L ={awa : w = {a, b} *} Then show that L² is regular.
Problem 3: Consider the two-link planar elbow manipulator shown below with link information: a₁ = 3, a₂ = 3. a2 S 3/0 Link | a | ai | di ai | di | 0i | มา 02 21 02. 12 01 0 0 01 02 0 0 02 01 To (a) Find the location of the end-effector P° if the joint angles are: 0₁ = 140°, 0₂ = 30° (b) Find the values of joint variables 01, 02 if the robotic manipulator is commanded to reach the desired location of Pº = [4.5, 3,0]. Notice there are possibly two sets of solutions. (c) Also sketch the two poses of the robot for the computed joint variables. Page 5 of 7
Problem 5: The following shows the schematic of a SCARA robot and its DH parameters. Complete the following questions based on this information. 20 01 21 02. 22 done by ai α; di Ꮎ ; 21 d3 1 a1 0 0 0₁** 2 a2 180° 0 0% 3 0 0 d3 0 The Jacobian matrix of this robot is given below: -a1S1a2S12 -a2S12 J(q) = a1c1 + a2c12 0 a2C12 0 10° (a) For a₁ = 1, a2 = 2, is q = 180° a singularity configuration of this robot? a1 3 [10°1 (b) For a₁ = 1, a2 = 2, is q = | 0° a singularity configuration of this robot? 3
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