Homework Answers
moment of inertia of rectangular body about centroidal x axis
moment of inertia of rectangular body about centroidal y axis
moment of inertia of triangular body about centroidal x axis
moment of inertia of triangular body about centroidal y axis
parallel axis theorem
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Consider a section given below. Given that c = 11 mm.
Determine I(x1) and I(x2) and...
1. Consider the system described by the ODE's X1 = X2 i,--2x,-3x2 +11 Using the State Function of...
Write neatly please =)
1. Consider the system described by the ODE's X1 = X2 i,--2x,-3x2 +11 Using the State Function of Pontryagin to find the input u that minimizes u2 a. Determine the state function of Pontryagin H b. Find the optimal input and Ho c. Find the matrix A that will yield the governing equations Xy x2 12 If X1 (0) = 1,x2(0)=0 and x1(1)-x-(1)=0 determine the govern equations for λ! (0) and d. (0) in terms of...
Given random variables X1, X2, Y with E[Y | X1, X2] = 5X1 + X1X2 and...
Given random variables X1, X2, Y with E[Y | X1, X2] =
5X1 + X1X2 and E[Y
2
| X1, X2] =
25X2
1X2
2 + 15, find
E[(X1Y + X2)
2
| X1, X2].
ㄨ竺Bin(2.1/4). Suppose X and Y are independent random variables. Find the expected value of YX. Hnt: Consider conditioning on the events (X-j)oj0,1,2. 9. Given random variables XI,X2, Y with E'Y | XiN;|-5X1 + X1X2 and Ep2 1 X1,X2] 25XX15, find 10. Let X and Y...
Given initial conditions x1(0) = 1 and x2(0) = 0, determine solution components x1(t) and x2(t)....
Given initial conditions x1(0) = 1 and x2(0) = 0, determine
solution components x1(t) and x2(t).
7. Consider the following differential equation system for 11(t), 12(t), where x = (*1). x = (1 %)* (a) (7 points) Find the general solution.
Consider the subspace W C R4 given by X1 X2 W = ER4 X1 + x2...
Consider the subspace W C R4 given by X1 X2 W = ER4 X1 + x2 + x4 = 0 and x2 + x3 + x4 = 0 X3 X4 = Find an orthonormal basis H {h1, h2, h3, h4} for R4 with the property that hy and h2 are elements of an orthonormal basis for W, where orthonormality is defined with respect to the dot product on R4 x R4.
Consider the subspace W C R4 given by X1 X2 W = ER4 X1 + x2...
Consider the subspace W C R4 given by X1 X2 W = ER4 X1 + x2 + x4 = 0 and x2 + x3 + x4 = 0 X3 X4 = Find an orthonormal basis H {h1, h2, h3, h4} for R4 with the property that hy and h2 are elements of an orthonormal basis for W, where orthonormality is defined with respect to the dot product on R4 x R4.
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 -...
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 - X2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) No B) Yes Determine whether the matrix is in echelon form, reduced echelon form, or neither. [ 1 2 5 -7] 2) 0 1 -4 9 100 1 2 A) Reduced echelon form B) Echelon form C) Neither [1 0 -3 -51 300 1-3 4 0 0 0 0 LOO 0...
Consider the simplex tableau given below. X1 X2 S1 S2 Р 1 4 2 3 -...
Consider the simplex tableau given below. X1 X2 S1 S2 Р 1 4 2 3 - 3 0 1 0 0 3 24 0 -6 0 1 0 (A) The pivot element is located in column and row (B) The entering variable is (C) The exiting variable is O. (D) Enter the values after one pivot operation in the tableau below. X1 X2 S1 S2 Р 1 2 0 3 0 -4 1 1 0 12 09 96 0 1...
Consider the utility function: u(x1,x2) = x1 +x2.
1. Consider the utility function: u(x1,x2) = x1 +x2. Find the corresponding Hicksian demand function 2. For each of the three utility functions below, find the substitution effect, the income effect, and the total effect that result when prices change from p = (2,1) to p' = (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects to be found below. (b)...
QUESTION 11 Consider version I of the profit maximisation problem found in Additional_Information_for_Problem_Solving_Exercise.pdf With the technology...
QUESTION 11
Consider version I of the profit maximisation problem found in
Additional_Information_for_Problem_Solving_Exercise.pdf With the
technology in place, given output and input prices and fixed input
factor x_2, the maximum profit level that can be achieved is:
(Instruction: Type in the value in the cell below using two decimal
places. Do NOT use alphabetical characters, symbols such as $ or
commas as thousand separators. Example: “1000.00” is a valid entry,
but “Profit=$1,000.000” is not a valid numerical entry.)
Information for...
Consider the following data for a dependent variable y and two independent variables, x1 and x2...
Consider the following data for a dependent variable y and two independent variables, x1 and x2 . x1 x2 y 30 12 95 46 11 108 24 17 113 50 16 178 41 6 95 51 19 176 75 7 170 37 12 117 60 14 142 77 17 212 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. a. Develop an estimated regression equation relating y to x1. y^ = ___ +...
Write neatly please =)
1. Consider the system described by the ODE's X1 = X2 i,--2x,-3x2 +11 Using the State Function of Pontryagin to find the input u that minimizes u2 a. Determine the state function of Pontryagin H b. Find the optimal input and Ho c. Find the matrix A that will yield the governing equations Xy x2 12 If X1 (0) = 1,x2(0)=0 and x1(1)-x-(1)=0 determine the govern equations for λ! (0) and d. (0) in terms of...
Given random variables X1, X2, Y with E[Y | X1, X2] =
5X1 + X1X2 and E[Y
2
| X1, X2] =
25X2
1X2
2 + 15, find
E[(X1Y + X2)
2
| X1, X2].
ㄨ竺Bin(2.1/4). Suppose X and Y are independent random variables. Find the expected value of YX. Hnt: Consider conditioning on the events (X-j)oj0,1,2. 9. Given random variables XI,X2, Y with E'Y | XiN;|-5X1 + X1X2 and Ep2 1 X1,X2] 25XX15, find 10. Let X and Y...
Given initial conditions x1(0) = 1 and x2(0) = 0, determine
solution components x1(t) and x2(t).
7. Consider the following differential equation system for 11(t), 12(t), where x = (*1). x = (1 %)* (a) (7 points) Find the general solution.
Consider the subspace W C R4 given by X1 X2 W = ER4 X1 + x2 + x4 = 0 and x2 + x3 + x4 = 0 X3 X4 = Find an orthonormal basis H {h1, h2, h3, h4} for R4 with the property that hy and h2 are elements of an orthonormal basis for W, where orthonormality is defined with respect to the dot product on R4 x R4.
Consider the subspace W C R4 given by X1 X2 W = ER4 X1 + x2 + x4 = 0 and x2 + x3 + x4 = 0 X3 X4 = Find an orthonormal basis H {h1, h2, h3, h4} for R4 with the property that hy and h2 are elements of an orthonormal basis for W, where orthonormality is defined with respect to the dot product on R4 x R4.
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 - X2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) No B) Yes Determine whether the matrix is in echelon form, reduced echelon form, or neither. [ 1 2 5 -7] 2) 0 1 -4 9 100 1 2 A) Reduced echelon form B) Echelon form C) Neither [1 0 -3 -51 300 1-3 4 0 0 0 0 LOO 0...
Consider the simplex tableau given below. X1 X2 S1 S2 Р 1 4 2 3 - 3 0 1 0 0 3 24 0 -6 0 1 0 (A) The pivot element is located in column and row (B) The entering variable is (C) The exiting variable is O. (D) Enter the values after one pivot operation in the tableau below. X1 X2 S1 S2 Р 1 2 0 3 0 -4 1 1 0 12 09 96 0 1...
QUESTION 11
Consider version I of the profit maximisation problem found in
Additional_Information_for_Problem_Solving_Exercise.pdf With the
technology in place, given output and input prices and fixed input
factor x_2, the maximum profit level that can be achieved is:
(Instruction: Type in the value in the cell below using two decimal
places. Do NOT use alphabetical characters, symbols such as $ or
commas as thousand separators. Example: “1000.00” is a valid entry,
but “Profit=$1,000.000” is not a valid numerical entry.)
Information for...
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