Question 4.11 A pressure wave generated as a result of an explosion satisfies the equation Pu - 16Pxx = 0 in the domain {(x,1) - 00<x< 0,1 >0}, where P(x, 1) is the pressure at the point x and time 1. The initial conditions at the explosion time 1 = 0 are 10 x < 1, P(x,0) = 1o x|>1, P(x,0) = {1 l sl. P:(x,0) = 10 x > 1. A building is located at the point Xo = 10. The engineer who designed the building determined that it will sustain a pressure up to P=6. Find the time to when the pressure at the building is maximal. Will the building collapse?

= Let Ô = d/dx (the derivative operator). Find (a) (sinD)x5 (b) (7-62) cos(x) 1 Reading: Occasionally we shall work on functions of operators. They are typically defined by the power series expansion.

4. A 2-wire d.c. distributor is 250 m long. It is to be loaded as shown in Fig 13.10 at 50 m intervals. If the maximum voltage drop is not to exceed 10V and the resistivity of core material is 0-7 x 2-54 µ2 cm, determine the maximum cross-sectional area of each conductor. (1-602 cm'] Supply End 120 A 90 A 60 A 50 A 80 A Fig. 13.10

1. ( \( 20 \mathrm{pts}) \) Evaluate the line integral by one method, (a) directly or (b) using Green's Theorem. \[ \oint_{C} x y d x+x^{2} y^{3} d y \] Where \( C \) is the triangle with vertices \( (0,0),(1,0) \) and \( (1,2) \). Answer:

Asap please Thank you❤ lodine-131 is used to treat Graves disease, a disease of the thyroid gland. The amount of 1311 used depends on the size of the gland. If the dose is 86 microcuries per gram of thyroid gland, how many grams of 1311 should be administered to a patient with a thyroid gland weighing 30 g? Assume all the iodine administered accumulates in the thyroid gland. x 10 PA 8 131 294 In 2006, the synthesis of 118 Uuo (an isotope of element 118) was reported to involve the bombardment of 248Cf with 48Ca. Select an equation for the nuclear reaction, being sure to include any other products of the reaction. 248 48 118 98 248 118 n 0 Cf + 20 Ca → 19Uuo + He 294 Uuo +ó Cf + 294 Uuo + 2 n Cf + 294 Uuo + 2 ) n+2e 98 248 48 Cf + Ca → 20 48 Ca → 20 98 248 48 Ca → 20 98 At 25 °C, the following concentrations were found for the gases in an equilibrium mixture for the reaction N2O(g) + NO2(g) = 3NO(g) [NO2] = 0.18 M, [NO] = 5.1 x 10-8 M, and [N2O) = 0.078 M. What is the value of Kp for this reaction? Enter your answer in scientific notation. Kp i x 10 i

please I badly need to know the right answer tysm lodine 131 is used to treat Graves disease, a disease of the thyroid gland. The amount of 191 used depends on the size of the land. It the dose is B6 microcuries per gram of thyroid gland, how many grams of 154 should be administered to a potient with a thyroid gland weighing 34 g? Assume all the iodine administered accumulates in the thyroid gland. x 10 8134 The fuel for a thermonuclear bomb (hydrogen bomb) is lithium deuteride, a salt composed of the ions Land; H. Considering the nuclear reaction + n - He + H explain how a 23Su fission bomb could serve as a trigger for a fusion bomb. A 235 92 Uproduces and the Uhssion bomb could serve as a trigger for fusion bomb because the reaction of could be used in the reaction of Li-6 to form He-4 and H-3. Select all the appropriate balanced nuclear equations for this process. 11 215 U +- Kr + Ba + 3 U + He 3 He+ Ra Select all the appropriate balanced nuclear equations for this process. 235 94 36 56 235 227 88 D 92 235 92 235 92 Cs + U +ón → Kr + '3% Ba +3;n U - U + He → 3, He + 23% Ra 2U → He + 3, Th U +on → Xe +3% Sr + n U ton → Rb +on Kr + Baton 2U +ón y Cs + Rb + 3) n. 24 He + "38 Ra U +1e3e+ 75 U + n = 44 Xe + + 231 90 140 54 140 55 94 36 140 55 227 235 92 235 94 38 93 37 139 56 93 37 5U + n 72- 92 235 U 92 235 92 225 92 235 Pu 94 140 54 Sr + 20 38

Evaluate the line integral by two methods: (a) directly and (b) using Green's Theorem.C is the triangle with vertices (0,0), (1,0), and (1,2) $c xy dx+ x²y³ dy,