Solved: Writing The initial and terminal points of the vector are and Describe the set

Chapter 11, Problem 102

(choose chapter or problem)

Writing The initial and terminal points of the vector are and Describe the set of all points such that 107. Let and be vertices of a triangle. Find 108. Let and Describe the set of all points such that 109. Numerical, Graphical, and Analytic Analysis The lights in an auditorium are 24-pound discs of radius 18 inches. Each disc is supported by three equally spaced cables that are inches long (see figure). (a) Write the tension in each cable as a function of Determine the domain of the function. (b) Use a graphing utility and the function in part (a) to complete the table. (c) Use a graphing utility to graph the function in part (a). Determine the asymptotes of the graph. (d) Confirm the asymptotes of the graph in part (c) analytically. (e) Determine the minimum length of each cable if a cable is designed to carry a maximum load of 10 pounds. 110. Think About It Suppose the length of each cable in Exercise 109 has a fixed length and the radius of each disc is inches. Make a conjecture about the limit and give a reason for your answer. 111. Diagonal of a Cube Find the component form of the unit vector in the direction of the diagonal of the cube shown in the figure. Figure for 111 Figure for 112 112. Tower Guy Wire The guy wire to a 100-foot tower has a tension of 550 pounds. Using the distances shown in the figure, write the component form of the vector representing the tension in the wire. 113. Load Supports Find the tension in each of the supporting cables in the figure if the weight of the crate is 500 newtons. Figure for 113 Figure for 114 114. Construction A precast concrete wall is temporarily kept in its vertical position by ropes (see figure). Find the total force exerted on the pin at position The tensions in and are 420 pounds and 650 pounds. 115. Write an equation whose graph consists of the set of points that are twice as far from as from B1, 2, 0. Px, y, z A0, 1, 1 A. AB AC 6 ft A C D 10 ft B 18 ft 8 ft x y z A B C D 60 cm 45 cm 70 cm 65 cm 115 cm F 100 z 50 75 x y y x v v = 1 z v limr0a T r L a 0 , T L. 18 in. L L r r0 x, y, z 2. r r x, y, z 0 1, 1, 1. AB\ BC\ CA\ A, B, C . v 4. x x,