Question A point charged particle of 8 μC is held at the center of a conducting spherical shell of inner radius 4 cm and outer radius 10 cm. The shell has total charge 22 μC . What is the magnitude of the electric field; A)   at radial distance,r=2cm? B)   at radial distance, r=7cm? C)   at radial distance, r=12cm?

Suppose it is known that a 5-MHz transducer axis makes an angle of 20 degree relative to the direction of motion of blood in a vessel. If the Doppler frequency is measured to be -600 Hz, what is the velocity of the blood? Is it moving toward or away from the transducer?

Two thin parallel slits that are 0.0116 mm apart are illuminated by a laser beam of wavelength 585 nm. (a) On a very large distant screen, what is the total number of bright fringes (those indicating complete constructive interference), including the central fringe and those on both sides of it? Solve this problem without calculating all the angles! (b) At what angle, relative to the original direction of the beam, will the fringe that is most distant from the central bright fringe occur?

Group__ Hmwk carboxylic acid derivatives Name 1) Give the product and byproduct of each reaction below. ( 1 + Nu QH OH- HOCH.CH o L 'OCCHICH, 6 CH, whatarieven OH,O) HOCH, OH, 2) Give the reagents necessary to make each product. a certama memanas my - myoran smo

Photon Technologies, Inc., a manufacturer of batteries for mobile phones, signed a contract with a large electronics manufacturer to produce three models of lithium-ion battery packs for a new line of phones. The contract calls for the following: Photon Technologies can manufacture the battery packs at manufacturing plants located in the Philippines and Mexico. The unit cost of the battery packs differs at the two plants because of differences in production equipment and wage rates. The unit costs for each battery pack at each manufacturing plant are as follows: The PT-100 and PT-200 battery packs are produced using similar production equipment available at both plants. However, each plant has a limited capacity for the total number of PT-100 and PT-200 battery packs produced. The combined PT-100 and PT-200 production capacities are 175,000 units at the Philippines plant and 160,000 units at the Mexico plant. The PT-300 production capacities are 75,000 units at the Philippines plant and 100,000 units at the Mexico plant. The cost of shipping from the Philippines plant is $0.18 per unit, and the cost of shipping from the Mexico plant is $0.10 per unit. a. Develop a linear program that Photon Technologies can use to determine how many units of each battery pack to produce at each plant to minimize the total production and shipping cost associated with the new contract. b. Solve the linear program developed in part (a), to determine the optimal production plan. c. Use sensitivity analysis to determine how much the production and/or shipping cost per unit would have to change to produce additional units of the PT-100 in the Philippines plant. d. Use sensitivity analysis to determine how much the production and/or shipping cost per unit would have to change to produce additional units of the PT-200 in the Mexico plant.  

= Find the distance between the skew lines: x = 8 + 9t, y = 4+ 5t, y = 4 + 5t, z = 5 – 9t 5 x = 9-t, t y=7, 2= 8 + 8t NOTE: Enter the exact answer. D

Willing to provide the best breakfast under a minimum cost for a group of senior citizens, a company formulated a LP model. The breakfast needs to include at least 420 calories, 5 milligrams of iron, 400 milligrams of calcium, 20 grams of protein, 12 grams of fiber, and must have no more than 20 grams of fat and 30 milligrams of cholesterol. The model is Willing to provide the best breakfast under a minimum cost for a group of senior citizens, a company formulated a LP model. The breakfast needs to include at least 420 calories, 5 milligrams of iron, 400 milligrams of calcium, 20 grams of protein, 12 grams of fiber, and must have no more than 20 grams of fat and 30 milligrams of cholesterol. The model is described as follows: Minimize Z = .18x₁ + .22x2 + .10x3 +.12x4+.10x5 +.09x6+ .40x7+.16x8+.50x9 +.07x10 subject to: 90x1 + 110x2 + 100x3 +90x4 + 75x5 + 35x6 + 65x7 + 100xg+ 120x9 + 65x10 ² 420 (calcium) 6x₁ +4x2+2x3 + 3x4 + X5 + X7 + X10 ≥ 5 (iron) 20x₁ +48x2 + 12x3 + 8x4 + 30x5 + 52x7 + 250xg+ 3x9 +26x10 ≥ 400 (calcium) 3x1 + 4x2 + 5x3 + 6x4 + 7x5+2x6+X7 + 9x8+ X9 + 3x10 > 20 (protein) 5x1 + 2x2 + 3x3 + 4x4 + X7 + 3x10 ≥ 12 (fiber) 2x2 + 2x3 + 2x4+ 5x5 + 3x6 + 4Xg+ X10 ≤ 20 (fat) 270x5 + 8x6 + 12xg ≤ 30 (cholesterol) Xij 20 The following table shows the final result. In other words, the best combination of decision variables to obtain the minimal Z (cost). Breakfast Food Bran cereal (x1) = Dry cereal (x2) = Oatmeal (x3) = Oat bran (x4) = Egg (x5)= Bacon (x6) = Orange (x7) = Milk -2% (x8) = Orange juice (x9) = Wheat toast (x 10) = Serving 0.00 0.00 1.02 0.00 0.00 0.00 0.00 1.24 0.00 2.98 O None of the above O x3 ≤ 0.65; x8 ≤ 1.1; and x10 ≤ 2.68; O x3 s 1.65; x8 s 2.1; and x10 s 2.99; Unfortunately, this is not a very tasteful breakfast, as it does not show many options for them in terms of food. Which one of the following options (new constraints that would be added to the model) could help the company to provide a more diversified breakfast, improving the quality of life of the senior citizens (regardless the fact that the cost will be increased)? O x1 ≤ 0.45; x4 ≤ 0.14; and x7 ≥ 3.68; O x2 ≥ 0.65; x7 2 1.8; and x9 ≥ 3; Unit cup cup cup cup egg slice orange cup cup slice