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9) Find the statement forms in the connectives "and" "or" and "not" that have the following...
XTAX=1. determine their canon- 1. Write the following quadratic forms as V(x) ical forms, find the modal matrices (i.e....
XTAX=1. determine their canon- 1. Write the following quadratic forms as V(x) ical forms, find the modal matrices (i.e. the matrices of unit eigenvectors) of the corresponding transformations and write down explicite expressions for canonical cOordinates (y1, 2, y3) in terms of the original coordinates (x1, X2, X3). State what surfaces these quadratic forms correspond to = > (a) x + 4x1r2 + 4a13-8a2x3 = 1; (b) a3a3a^ + 4xj2 +4x131223 1; (c) 4a7 2a2 2axjx2 2x13+ 6x23 = 1....
Help me solve this 7 Mathematical logic questions Mathematical Logic Homework1 1)Write out the truth tables for t...
Help me solve this 7 Mathematical logic questions
Mathematical Logic Homework1 1)Write out the truth tables for the following. a) (A B) V(A) 2) Determine whether the following are tautologies. DO NOT USE A TRUTH TABLE. b) (AAB) (AVC) c) (A B)]-A 3) Write out the following as statement forms using statement letters to stand 10 atomic sentences -that is, those sentences that are not built out of other sentences. a) If Mr. Jones is happy, Mrs Jones is not...
What are the marginal utilities of x1 and x2 given the following utility functions, then find...
What are the marginal utilities of x1 and x2 given the following utility functions, then find the MRS: U(x1, x2) = 4 x1 + 8 x2 U(x1, x2) = (x1 + 2)(x2 + 1) Example. To find the marginal utility for x1, think about how a 1 unit increase in x1, keeping all else constant, will change the amount of utility U. Once you have the marginal utilities for both, you can calculate the MRS.
1) Classify the following quadratic forms. (a) 9(x, y) = 2x2 + 3xy + 3y2 (b)...
1) Classify the following quadratic forms. (a) 9(x, y) = 2x2 + 3xy + 3y2 (b) q(x, y, z) = x2 + 3xy – xz + 3y2 – 2yz
Find the gradient and hessian of each of the following functions and use the hessians to...
Find the gradient and hessian of each of the following functions and use the hessians to check whether the functions are convex. (b) f:R2 + R given by f(x,y) = x3 – 2xy - y6. (c) f: R3 + R given by f(x1, x2, x3) = cos(x1) + 222} eigenvalues of the hessian). (you may use a computer to find the
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4 9. Find the relative and absolute max and min of th...
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4
Find the optimal bundle for the following utility functions and for budget line (P1X1+P2X2=m) a) U(X1,X2)=X1X2...
Find the optimal bundle for the following utility functions and for budget line (P1X1+P2X2=m) a) U(X1,X2)=X1X2 b) U(X1,X2)=X1^2X2^3 c) U(X1,X2)=X1^2+2X2 d)U(X1,X2)= ln (x1^3X2^4) e) U(X1,X2)= 2X1+X2 f) U(X1,X2)= min (2X1,X2)
For the following utility functions, a. Find the marginal rate of substitution. b. Derive the equation...
For the following utility functions, a. Find the marginal rate of substitution. b. Derive the equation for the indifference curve where utility is equal to a value of 100. c. Plot the indifference curve where utility is equal to a value of 100. (1) u(x1, x2) = x1x2; (2) u(x1, x2) = x1x2 + 10x2; (3) u(x1, x2) = x12 + x2
Hicksian Demand
Find the Hicksian demand function and the expenditure functions for the agent who has following utility functions: • u(x1,x2)=x1 +2x2• u(x1,x2)=min{x1,4x2} • u ( x 1 , x 2 ) = x α1 x β2
9 Let Xi, X2, ..., Xn be an independent trials process with normal density of mean 1 and variance 2. Find the moment generating function for (a) X (b) S2 =X1 + X2 . (c) Sn=X1+X2 + . . . + Xn. (d) An...
9 Let Xi, X2, ..., Xn be an independent trials process with normal density of mean 1 and variance 2. Find the moment generating function for (a) X (b) S2 =X1 + X2 . (c) Sn=X1+X2 + . . . + Xn. (d) An -Sn/n
9 Let Xi, X2, ..., Xn be an independent trials process with normal density of mean 1 and variance 2. Find the moment generating function for (a) X (b) S2 =X1 + X2 . (c)...
XTAX=1. determine their canon- 1. Write the following quadratic forms as V(x) ical forms, find the modal matrices (i.e. the matrices of unit eigenvectors) of the corresponding transformations and write down explicite expressions for canonical cOordinates (y1, 2, y3) in terms of the original coordinates (x1, X2, X3). State what surfaces these quadratic forms correspond to = > (a) x + 4x1r2 + 4a13-8a2x3 = 1; (b) a3a3a^ + 4xj2 +4x131223 1; (c) 4a7 2a2 2axjx2 2x13+ 6x23 = 1....
Help me solve this 7 Mathematical logic questions
Mathematical Logic Homework1 1)Write out the truth tables for the following. a) (A B) V(A) 2) Determine whether the following are tautologies. DO NOT USE A TRUTH TABLE. b) (AAB) (AVC) c) (A B)]-A 3) Write out the following as statement forms using statement letters to stand 10 atomic sentences -that is, those sentences that are not built out of other sentences. a) If Mr. Jones is happy, Mrs Jones is not...
1) Classify the following quadratic forms. (a) 9(x, y) = 2x2 + 3xy + 3y2 (b) q(x, y, z) = x2 + 3xy – xz + 3y2 – 2yz
Find the gradient and hessian of each of the following functions and use the hessians to check whether the functions are convex. (b) f:R2 + R given by f(x,y) = x3 – 2xy - y6. (c) f: R3 + R given by f(x1, x2, x3) = cos(x1) + 222} eigenvalues of the hessian). (you may use a computer to find the
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4
9 Let Xi, X2, ..., Xn be an independent trials process with normal density of mean 1 and variance 2. Find the moment generating function for (a) X (b) S2 =X1 + X2 . (c) Sn=X1+X2 + . . . + Xn. (d) An -Sn/n
9 Let Xi, X2, ..., Xn be an independent trials process with normal density of mean 1 and variance 2. Find the moment generating function for (a) X (b) S2 =X1 + X2 . (c)...
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