Parts d and e needed! 1) Here are two rank 1 tensors of differing types, written...
dr - 0 dz 1 dx P x² + y² + 하공 8. OP 11 위공 d츠 1 ㅇ d² 0= 이 1) Here are two rank 1 tensors of differing types, written in Cartesian co-ordinates: 1 -4 vi(x, y, z) = wi(x,y,z) 2 3 a) Calculate their scalar product viw. (2 marks) b) Using the appropriate tensor transform equations, and expressions for the partial derivatives obtained from class, transform both tensors into cylindrical polar co-ordinates (r, 0, z). (6...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...
A). 1-Heptene; B). 1-Propene ; C). 1-Butene ; D). CEN E). CH3NH2 ; F). -CO-H; G). CHỊCH,Br; H). NO, nyu, im Krui, ir CH3 OH Настен M H3C MC ;N HỌC-CH-CH, 0). an in the file can os centras 2005,8,0, Consider PHYSICAL PROPERTIES and the E/Z priority of the compounds/substituents above 1. Arrange in ascending order the boiling point and identify the non-covalent bonding : a)compound compounds Q, R, T, U; b) compound B, M, N c),arrange in ascending order...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
IB math studies
1. Ten students were asked for their average grade at the end of their last year of high school and their average grade at the end of their last year at university. The results were put into a table as follows: Student High School grade, University grade, y 90 3.2 2.6 75 80 3.0 70 95 3.8 85 90 3.8 2.8 70 95 85 3.0 3.5 10 Total 835 30.4 (a) Given that s, 8.96, sy-0.610 and...