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Define the density parameter N. Hence derive the following forms of the Friedman equation: A) (i)...
QUESTION6 (a) The three-parameter gamma distribution has the probability density function x (r)- exp (r-c)-1,x> Derive...
QUESTION6 (a) The three-parameter gamma distribution has the probability density function x (r)- exp (r-c)-1,x> Derive the mean of the distribution. (b) Ifx beta I (m, n) show thatY ax +b(l-X) has the four-parameter beta distribution with parameters a, b, m and n.
2. Early Density Perturbations The density perturbations in non-relativistic matter om (above the...
2. Early Density Perturbations The density perturbations in non-relativistic matter om (above the Jeans length) has different time dependence in the matter-dominated era vs. the radiation-dominated era. We derived the former in class; here we will derive the behavior of in the radiation-dominated era. Assume a flat model with a,m 1 and Ω0.A 0 for simplicity. For clarity, we add subscript m to δ to denote perturbations in the matter component, and subscript r' to to denote perturbations in the...
gilleerg-2016 QUESTION 1 (Total of 39 marks) i) Define cavitation. How it forms and how to...
gilleerg-2016 QUESTION 1 (Total of 39 marks) i) Define cavitation. How it forms and how to avoid it? Give 2 examples where cavitation frequently occurs. (7 marks) ii) Sketch EGL and HGL and their components qualitatively. (7 marks) 5 m Water A PA 98.1 kPa gage
gilleerg-2016 QUESTION 1 (Total of 39 marks) i) Define cavitation. How it forms and how to avoid it? Give 2 examples where cavitation frequently occurs. (7 marks) ii) Sketch EGL and HGL and their...
2-Consider the reaction H2(g) + Br2(g)  
2-Consider the reaction H2(g) + Br2(g) 2 HBr (g⇌ ) where ΔHo = -36.4 kJ/mol. In one experiment, equal amounts in moles of H2(g) and Br2(g) were mixed in a 2.00 L chamber at 25 oC exerting a pressure P = 1.0 atm. After mixture reached equilibrium, partial pressure of H2 gas PH2 was measured using high sensitivity HVAC gauge recording, PH2 = 5x10-4 Pa. For this equilibrium reaction, answer the following: (i)Calculate the total amount nT of gases...
Let's consider the following fuzzy membership function: H(x)= 1+еxp {-n(x-5)} (i) For n+2 and n=-2 draw...
Let's consider the following fuzzy membership function: H(x)= 1+еxp {-n(x-5)} (i) For n+2 and n=-2 draw the graphic representation of the membership function (ii) What is the shape of the above equation for n=0 and n= o (iii What type of linguistic terms (Low, medium, high) the function represent for either a positive or a negative parameter n
Let's consider the following fuzzy membership function: H(x)= 1+еxp {-n(x-5)} (i) For n+2 and n=-2 draw the graphic representation of the membership...
I don't understand a iii and b ii, What's the procedure of deriving the limit distribution? Thanks. 6. Extreme...
I don't understand a iii and b ii, What's the procedure of
deriving the limit distribution? Thanks.
6. Extreme values are of central importance in risk management and the following two questions provide the fundamental tool used in the extreme value theory. (a) Let Xi,... , Xn be independent identically distributed (i. i. d.) exp (1) random variables and define max(Xi,..., Xn) (i) Find the cumulative distribution of Zn (ii) Calculate the cumulative distribution of Vn -Zn - Inn (iii)...
3. The Cosmological constant When formulating general relativity, Einstein believed that the Universe was static. In or...
3. The Cosmological constant When formulating general relativity, Einstein believed that the Universe was static. In order to arrange a static Universe, he proposed a change to the equations, something he would later famously call his "greatest blunder". That was the introduction of a cosmological constant, A, to the Friedmann equation (1) (a) (3 points) By referring to the Friedmann equation 1), derive an equation for a static Universe when k -0 (b) (8 points) Last week you derived an...
9. For F as in 8, define N:F-Q by N(a+bv2)--22 (i) Prove that N(a3)-N(a)N(8), for all α, β E F. (...
Question 9 (ii) and Question 10
9. For F as in 8, define N:F-Q by N(a+bv2)--22 (i) Prove that N(a3)-N(a)N(8), for all α, β E F. (ii) Find an element u E F such that N(u)-1 and such that all of the powers un are distinct. 10. Use 9 above to prove that the equation 2-2U2-1 has infinitely many solutions over Q. What can you conclude about the number of solutions over Z.
9. For F as in 8, define...
1. For an atmosphere in hydrostatic equilibrium the variation of particle number density (# of pa...
1. For an atmosphere in hydrostatic equilibrium the variation of particle number density (# of particles per unit volume) of each species as a function of altitude (z) is found by equating gravitational and pressure forces. The resulting expression is: N(z) = No * e^(-(z - zo)/H) where N0 is a constant for each species, and z0 is an arbitrary reference altitude. The parameter H is called the scale height, which is equal to KT/mg. In the scale height expression...
please can you answer All of these questions? thank you Part 1. Exercise Questions (Have to...
please can you answer All of these questions?
thank you
Part 1. Exercise Questions (Have to be submitted ) State Coulomb's law and give the mathematical expression. b) Write the definition of electric field strength. What is its SI unit? (Use your own words). c) Define electric displacement vector. What is its SI unit? i.Does the electric displacement vector due to a given charge distribution depend on the properties of the medium? Does the electric field intensity due to a...
QUESTION6 (a) The three-parameter gamma distribution has the probability density function x (r)- exp (r-c)-1,x> Derive the mean of the distribution. (b) Ifx beta I (m, n) show thatY ax +b(l-X) has the four-parameter beta distribution with parameters a, b, m and n.
2. Early Density Perturbations The density perturbations in non-relativistic matter om (above the Jeans length) has different time dependence in the matter-dominated era vs. the radiation-dominated era. We derived the former in class; here we will derive the behavior of in the radiation-dominated era. Assume a flat model with a,m 1 and Ω0.A 0 for simplicity. For clarity, we add subscript m to δ to denote perturbations in the matter component, and subscript r' to to denote perturbations in the...
gilleerg-2016 QUESTION 1 (Total of 39 marks) i) Define cavitation. How it forms and how to avoid it? Give 2 examples where cavitation frequently occurs. (7 marks) ii) Sketch EGL and HGL and their components qualitatively. (7 marks) 5 m Water A PA 98.1 kPa gage
gilleerg-2016 QUESTION 1 (Total of 39 marks) i) Define cavitation. How it forms and how to avoid it? Give 2 examples where cavitation frequently occurs. (7 marks) ii) Sketch EGL and HGL and their...
Let's consider the following fuzzy membership function: H(x)= 1+еxp {-n(x-5)} (i) For n+2 and n=-2 draw the graphic representation of the membership function (ii) What is the shape of the above equation for n=0 and n= o (iii What type of linguistic terms (Low, medium, high) the function represent for either a positive or a negative parameter n
Let's consider the following fuzzy membership function: H(x)= 1+еxp {-n(x-5)} (i) For n+2 and n=-2 draw the graphic representation of the membership...
I don't understand a iii and b ii, What's the procedure of
deriving the limit distribution? Thanks.
6. Extreme values are of central importance in risk management and the following two questions provide the fundamental tool used in the extreme value theory. (a) Let Xi,... , Xn be independent identically distributed (i. i. d.) exp (1) random variables and define max(Xi,..., Xn) (i) Find the cumulative distribution of Zn (ii) Calculate the cumulative distribution of Vn -Zn - Inn (iii)...
3. The Cosmological constant When formulating general relativity, Einstein believed that the Universe was static. In order to arrange a static Universe, he proposed a change to the equations, something he would later famously call his "greatest blunder". That was the introduction of a cosmological constant, A, to the Friedmann equation (1) (a) (3 points) By referring to the Friedmann equation 1), derive an equation for a static Universe when k -0 (b) (8 points) Last week you derived an...
Question 9 (ii) and Question 10
9. For F as in 8, define N:F-Q by N(a+bv2)--22 (i) Prove that N(a3)-N(a)N(8), for all α, β E F. (ii) Find an element u E F such that N(u)-1 and such that all of the powers un are distinct. 10. Use 9 above to prove that the equation 2-2U2-1 has infinitely many solutions over Q. What can you conclude about the number of solutions over Z.
9. For F as in 8, define...
please can you answer All of these questions?
thank you
Part 1. Exercise Questions (Have to be submitted ) State Coulomb's law and give the mathematical expression. b) Write the definition of electric field strength. What is its SI unit? (Use your own words). c) Define electric displacement vector. What is its SI unit? i.Does the electric displacement vector due to a given charge distribution depend on the properties of the medium? Does the electric field intensity due to a...
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