Question

In: Advanced Math

(12%) For the following 4 functions, check if you can calculate a constant c so that...

(12%) For the following 4 functions, check if you can calculate a constant c so that the function is a PDF over the whole plane or state that such c does not exist and the corresponding function is not a PDF (state the reason for that). Note the signs of the coefficients of x2 and y2 are all different). You do not have to calculate the constant c; just provide reasoning for if that exists or not.

f(x, y) = c e^(-x^2+xy-y^2 )

g(x, y) = c e^(-x^2+xy+y^2 )

h(x, y) = c e^(x^2+xy-y^2 )

k(x, y) = c e^(x^2+xy+y^2 )

f(x, y) = c e^(-x^2+xy-2y^2 )

g(x, y) = c e^(-x^2+xy+〖2y〗^2 )

h(x, y) = c e^(x^2+xy-2y^2 )

k(x, y) = c e^(x^2+xy+〖2y〗^2 )

Solutions

Expert Solution

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

For each of the following functions, does a constant c > 0 exist such that the...
For each of the following functions, does a constant c > 0 exist such that the function is a joint probability density function? If yes, what is c? If not, why not? Part (a) gives 2 points, parts (b)–(d) give each one point. (a) f(x, y) = ( cxye −x−2y if x ≥ 0 and y ≥ 0, 0 otherwise. (b) f(x, y) = ( cxye −x−2y if x ≥ −1 and y ≥ 1, 0 otherwise. (c) f(x, y)...
In C++, please check for memory leaks Recursive Functions Goals Create and use recursive functions In...
In C++, please check for memory leaks Recursive Functions Goals Create and use recursive functions In this lab, we will write a program that uses three recursive functions. Requirements: Important: You must use the array for this lab, no vectors allowed. First Recursive Function Write a function that recursively prints a string in reverse. The function has ONLY one parameter of type string. It prints the reversed character to the screen followed by a newline character. Example: Input of “Hello,...
A C++ question: Implement the following functions. Each function deals with null terminated C-strings. You can...
A C++ question: Implement the following functions. Each function deals with null terminated C-strings. You can assume that any char array passed into the functions will contain valid, null-terminated data. Your functions must have the signatures listed below. 1. This function returns the last index where the target char can be found in the string. it returns -1 if the target char does not appear in the string. For example, if s is “Giants” and target is ‘a’ the function...
A C++ question: Implement the following functions. Each function deals with null terminated C-strings. You can...
A C++ question: Implement the following functions. Each function deals with null terminated C-strings. You can assume that any char array passed into the functions will contain valid, null-terminated data. Your functions must have the signatures listed below. 1. This function returns the last index where the target char can be found in the string. it returns -1 if the target char does not appear in the string. For example, if s is “Giants” and target is ‘a’ the function...
A C++ question: Implement the following functions. Each function deals with null terminated C-strings. You can...
A C++ question: Implement the following functions. Each function deals with null terminated C-strings. You can assume that any char array passed into the functions will contain valid, null-terminated data. Your functions must have the signatures listed below. 1. This function returns the last index where the target char can be found in the string. it returns -1 if the target char does not appear in the string. For example, if s is “Giants” and target is ‘a’ the function...
A C++ question: Implement the following functions. Each function deals with null terminated C-strings. You can...
A C++ question: Implement the following functions. Each function deals with null terminated C-strings. You can assume that any char array passed into the functions will contain valid, null-terminated data. Your functions must have the signatures listed below. 1. This function returns the last index where the target char can be found in the string. it returns -1 if the target char does not appear in the string. For example, if s is “Giants” and target is ‘a’ the function...
Calculate the diffusion constant of argon at 20°C and at the following pressures. Take σ =...
Calculate the diffusion constant of argon at 20°C and at the following pressures. Take σ = 0.36 nm2. If a pressure gradient of 1.0 bar·m−1 is established in a pipe, what is the flow of gas due to diffusion? (a) 2.02 Pa (b) 202 kPa (c) 20.2 MPa
For the following exercises, compute the value of the expression. C(12, 4)
For the following exercises, compute the value of the expression.C(12, 4)
1. For each of the following production functions (a-c) answer the following questions (i-v): i) Calculate...
1. For each of the following production functions (a-c) answer the following questions (i-v): i) Calculate the marginal products MPL and MPK. ii) Calculate MRTSL;K and determine if this is diminishing as good L increases. iii) If Q0 = 100, w = 8 and r = 2, determine long-run cost minimizing combination of labor and capital and the associated total cost. iv) If Q0 = 100, w = 8 and r = 2, determine short-run cost minimizing combination of labor...
Please check it out within 30 minutes. Please provide explanation or working so I can check...
Please check it out within 30 minutes. Please provide explanation or working so I can check with my answer. Question: In a study of the system, Cl2(g) + Br2(g) 2BrCl(g), several different reaction mixtures were prepared, placed in a 15.00 × 10–3 m3 container, and allowed to reach equilibrium at 350 K. Despite having different starting compositions, three of the four mixtures had an identical composition at equilibrium. Which one of the systems has a different equilibrium composition than the...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT