Homework Answers
Ans: none of the above
Reason: Endogenous variable is one which is determined within the model. As we can see, Y, G or r are clearly exogenous in nature and are used to determine S in the model, therefore here S is an endogenous variable.
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QUESTION 7 In the equation S-Y -T). , which of the following is an endogenous variable?...
7. Identify the impulse response function for the differential equation below. y" +24' + 5y =...
7. Identify the impulse response function for the differential equation below. y" +24' + 5y = sin(t), y(0) = 1, y'(0) = 2. (a) Not enough information to tell (b) h(t) = 2e' sin(t) (c) h(t) = ecos(2t) (d) h(t) = {e- sin(21) 8. Which of the following equations is valid for functions f(t) and g(0)? (a) C{28 +7.9}(s) = 2C{S}(s) +tL{9}(3) (b) C{t.g}(8) = -(L{9}) (c) C{e-at.g}(s) = ({9}(s - a) (d) None of the above.
Use the equation below to answer the following question(s) x(t) = cos(a)t)u(t) 4. Using the definition...
Use the equation below to answer the following question(s) x(t) = cos(a)t)u(t) 4. Using the definition of the Laplace Transform, what is the Laplace Transform of the function above? (Note Y ou must show all work in deriving the transform. You will get no points for picking the correct choice only!) ( +20) c. s2 +203 s2 +23 23
Question 7 Which of the following is an equation of an ellipse? x² + 2y² =...
Question 7 Which of the following is an equation of an ellipse? x² + 2y² = 1 x² + y² = 1 x3 + 2y3 = 1 O x² – 2y² = 1
7 Question Six: (5 marks) Solve the following integral equation using the Laplace transform. y(t)-/ sin(2t)y(t-r)dr-3....
7 Question Six: (5 marks) Solve the following integral equation using the Laplace transform. y(t)-/ sin(2t)y(t-r)dr-3. 0
1. Consider the following regression model with a single endogenous variable, ya : and given the...
1. Consider the following regression model with a single endogenous variable, ya : and given the reduced from for x: where z and are exogenous variables in the sense that cov(u,21) = cov(11,2 ) = 0 and cov(v,21) = cov(ng) = 0 (i.e., both zi and z2 are uncorrelated with u and v, and u is uncorrelated with v) (a) By substituting x into the equation for y, we obtain the reduce formed equation for y: Find the a in...
4. Real world relations involving rates at which one variable, say y, may change with respect to another variable, t. o...
4. Real world relations involving rates at which one variable, say y, may change with respect to another variable, t. or variables, t, s, r, .... Most often, these relations take the form of equations containing y and certain of the derivatives y' y",... , yofy with respect to t. The resulting equations are then referred to as differential equations. In other words, a differential equation is an equation containing an unknown function and its derivatives. Design by showing all...
Which of the following statement is NOT true? Question 3 options: a) In the endogenous growth...
Which of the following statement is NOT true? Question 3 options: a) In the endogenous growth model, the marginal productivity of capital is diminishing. b) In the Solow model, the marginal productivity of capital diminishes as capital increases. c) In the endogenous growth model, the marginal productivity of capital is constant. d) In the Solow model, the marginal productivity of capital depends on the level of capital.
Identify the type of the following differential equation. Note: y is the dependant variable in the...
Identify the type of the following differential equation. Note: y is the dependant variable in the equation. dy dx -2y 2 (4+lny-lnx) Select all that apply. Seperable Linear Exact Homogeneous Bernoulli Linear Substituion Identify the type of the following differential equation. Note: y is the dependant variable in the equation. 31/2 dy - 4 = y3/2 dx Select all that apply Seperable Linear Exact Homogeneous Bernoulli Linear Substituion dy The differential equation 6 - dx 949,6 – 24 can be...
QUESTION 5 Estimate the Nyquist rate of sin(4t)u(t) (in rad/s) 7. 4 0 8 O 16...
QUESTION 5 Estimate the Nyquist rate of sin(4t)u(t) (in rad/s) 7. 4 0 8 O 16 O None of the above. 4 cos (4t) Estimate the Nyquist rate of- (in ra d/s). 4 16 32 O infinity O None of the above.
Question 17 5 pts Which of the following is the equation for all straight-line graphs? Y...
Question 17 5 pts Which of the following is the equation for all straight-line graphs? Y = a + b (x) O e=Y- [(y-) Y = a (b)
7. Identify the impulse response function for the differential equation below. y" +24' + 5y = sin(t), y(0) = 1, y'(0) = 2. (a) Not enough information to tell (b) h(t) = 2e' sin(t) (c) h(t) = ecos(2t) (d) h(t) = {e- sin(21) 8. Which of the following equations is valid for functions f(t) and g(0)? (a) C{28 +7.9}(s) = 2C{S}(s) +tL{9}(3) (b) C{t.g}(8) = -(L{9}) (c) C{e-at.g}(s) = ({9}(s - a) (d) None of the above.
Use the equation below to answer the following question(s) x(t) = cos(a)t)u(t) 4. Using the definition of the Laplace Transform, what is the Laplace Transform of the function above? (Note Y ou must show all work in deriving the transform. You will get no points for picking the correct choice only!) ( +20) c. s2 +203 s2 +23 23
Question 7 Which of the following is an equation of an ellipse? x² + 2y² = 1 x² + y² = 1 x3 + 2y3 = 1 O x² – 2y² = 1
7 Question Six: (5 marks) Solve the following integral equation using the Laplace transform. y(t)-/ sin(2t)y(t-r)dr-3. 0
1. Consider the following regression model with a single endogenous variable, ya : and given the reduced from for x: where z and are exogenous variables in the sense that cov(u,21) = cov(11,2 ) = 0 and cov(v,21) = cov(ng) = 0 (i.e., both zi and z2 are uncorrelated with u and v, and u is uncorrelated with v) (a) By substituting x into the equation for y, we obtain the reduce formed equation for y: Find the a in...
4. Real world relations involving rates at which one variable, say y, may change with respect to another variable, t. or variables, t, s, r, .... Most often, these relations take the form of equations containing y and certain of the derivatives y' y",... , yofy with respect to t. The resulting equations are then referred to as differential equations. In other words, a differential equation is an equation containing an unknown function and its derivatives. Design by showing all...
Identify the type of the following differential equation. Note: y is the dependant variable in the equation. dy dx -2y 2 (4+lny-lnx) Select all that apply. Seperable Linear Exact Homogeneous Bernoulli Linear Substituion Identify the type of the following differential equation. Note: y is the dependant variable in the equation. 31/2 dy - 4 = y3/2 dx Select all that apply Seperable Linear Exact Homogeneous Bernoulli Linear Substituion dy The differential equation 6 - dx 949,6 – 24 can be...
QUESTION 5 Estimate the Nyquist rate of sin(4t)u(t) (in rad/s) 7. 4 0 8 O 16 O None of the above. 4 cos (4t) Estimate the Nyquist rate of- (in ra d/s). 4 16 32 O infinity O None of the above.
Question 17 5 pts Which of the following is the equation for all straight-line graphs? Y = a + b (x) O e=Y- [(y-) Y = a (b)
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