The Milky Way’s light profile can be written as
I(r) = Ie exp−b[(r/re)1/4−1], (1)
where b=7.67. Integrating over the entire surface brightness profile, show that the luminosity of the galaxy can be expressed in terms of re andIe as
Hint:
I have used property of gamma function in last step that
is...gamma(n+1)=n factorial
The Milky Way’s light profile can be written as I(r) = Ie exp−b[(r/re)1/4−1], (1) where b=7.67. Integrating over the ent...
i? (x, y) dA over the rectangle R - [a, b] x [c, d can Problem 1 Show that the integral be computed in terms of the numbers f(a, c), f(a, d), f (b, c) and f(b, d) 5 marks]
i? (x, y) dA over the rectangle R - [a, b] x [c, d can Problem 1 Show that the integral be computed in terms of the numbers f(a, c), f(a, d), f (b, c) and f(b, d) 5 marks]
Can you please also explain how you did it? Thank you.
i? (x, y) dA over the rectangle R - [a, b] x [c, d can Problem 1 Show that the integral be computed in terms of the numbers f(a, c), f(a, d), f (b, c) and f(b, d) 5 marks]
i? (x, y) dA over the rectangle R - [a, b] x [c, d can Problem 1 Show that the integral be computed in terms of the numbers f(a,...
B.2. The surface Sc of an ice-cream cone can be parametrised in spherical polar coordinates (r, 0, 0) by where θ0 is a constant (which you may assume is less than π/2) (a) Sketch the surface Sc (b) Using the expression show that the vector element of area on Sc is given by -T Sin where [41 (c) The vector field a(r) is given in Cartesian coordinates by Show that on Sc and hence that 4 2 (d) The curved...
The wave equation can be written as:∂^2 y/∂x^2 = 1/v^2 (∂^2 y /∂t^2) where y = y(x,t) has units of meters, x is also in meters, and t is in seconds. (a) Show explicitly that the function y(x,t) = ymsin(kx)cos(wt) satisfies the wave equation (6 points). (b) Is the function for y = y(x,t) describe a traveling wave? You must explain your answer to get full credit (2 points). 8. On a winter day with a temperature of Tc, the...
1. In the figure below, a solution containing lung extract
exhibits hysteresis in is surface tension versus area relationship.
This means the surface tension is higher during inflation of the
lung than deflation.
Thank you for answering!
1. In the figure below, a solution containing lung extract exhibits hysteresis in is surface tension versus area relationship. This means the surface tension is higher during inflation of the lung than deflation By recalling that mechanical work can be expressed as f...
5. (Telegraph equations) Using basic electrical theory, it can be shown that the current I(r, t) and voltage V(z, t) in an electrical transmission (eg., a power line or telephone line) at position in the lne andimt obey the equations Math 121 Applied DiffEqns II Homework 1 Due: Febuary 7, 2019 where C is the capacitance per u length, Gis the leakage per unit length, R is the resistance per unit length, and L is the inductance per unit length...
#2 please !
Ro le Astronomy 1F03 Problem Set 3 Thursday, Nov 10th, 2019 Write your answers on a separate sheet and show your work 1. The protesproton chain effectively c erta hyre en into hem according to 4 He. A Helium wus weighs 6.64518 x 10 IT kg and Hydrogen mucha proton) welches 1.67262 x 10 Workout the change in a when I kg of Hydrogen is converted completely into Helium 4. Convert the change in mass Per burning...
+ (3) ar2 2. Recall from lectures that the governing PDE for vibrations of a circular drum lid is 1 au 1 ay c? + 012 72 302 for r € (0,R), 0€ (-2,7), and t > 0, and the boundary condition is (R, 6,t) = 0 for t>0 and -150<7. rar (4) You will search for a solution of the form v(r,0,t) = G(r) sin(30) cos(w t), (5) for a function G that satisfies the ODE m2 G" +rG'...
Can you comment notes along with the code so I can
follow along and understand what is being written?? Thanks in
advance!
Let's say we're in a directory and we want to rename every file ending in·c, to end in .C (i.e., capitalize the c'). Here's one way to do it: $ for i in *. c; b-basename "$1" .c'; mv "8b.c" do "8b.C". done Things get more complicated if you want more complex renaming. Say for example you just...
S ale WILI LICUA YAHUICHI C I CILITIL SUWLC). TIW SULULI 15 TUU Home of vaporisation is approximately 85 K mol' for non-polar liquids" obeyed? Discuss! Questions 1. The vapour pressure of solid carbon dioxide is given by: inlp/pº)=-(3118.5) + 16.003 And that of liquid carbon dioxide as: Inſp/pº)=-(2,044.9) +11.050 At what temperature do solid and liquid carbon dioxide co-exist hint: to co-exist, the vapour pressure of the solid - the vapour pressure of the liquid], and what is the...