4. Consider the following AD equation: t(mn a) What is the slope of this AD curve? b) What is the...
2) A. Linearize the following equation where s and t are the variables: pep B. What are the slope and intercept of your new equation? C. Check that your new equation is dimensionally correct (s is a distance, v is a velocity, a is an acceleration, and t is a time) 3) A. Linearize the following equation where D and h are the variables: B. What are the slope and intercept of your new equation? C. Check that your new...
And the LM curve is given by the following equation: In a standard AS-AD framework: Explicitly derive the AD curve. What are the slope and intercept of this curve? Derive the demand for labor if the production function is given by F(I)-11/2 Illustrate the labor market graphically. Assuming the Classical Paradigm and that the economy consists of 100 total individuals (workers), derive the AS curve. Define equilibrium in words and solve for all equilibrium values. Which of the following two...
Consider an economy where the IS curve is given by the following equation: i = (C+I+G-mT+b(pie)^e)/b - ((1-m)Y/b) And the LM Curve is given by the following equation: i = (M + (M/P))/h + (k/h)Y In a Standard AS-AD Framework: a) Derive AD Curve. what are the slope and intercept of this curve? b) Derive the labour demand curve if the production function is given by F(L) = L^1/2. Illustrate the labour market graphically. c) Assuming the classical paradigm and...
Answer the following questions about the AD curve used in Macro 1. 1. What two (endogenous) variables are related by the AD curve? Answer: 2. Explain how the behaviour of the central bank determines the slope of the AD curve. Answer: 3. Below is the equation for the AD curve. 1-c(1-t)-m] Draw a diagram to show the effect on the AD curve of a decrease in exports 3.1. Answer: Draw a diagram to show the effect on the AD curve...
Consider the differential equation dy dt = t - 2 According to the differential equation, what is the value of y (0)? Question 3 Consider the differential equation dy dt = t - 2 and the given information y(0) = 1. Select the figure that shows the correct graphical representation of y' (O). 0 O 3 y 21 + -2 y 2 1 2 1 2 A z -1 O 3 y 2 X 2. z -1 O 3 2+...
1. Consider the differential equation y' = y-t. (a) Construct a slope field for this equation. (b) Find the general solution to this differential equation. (c) There is exactly one solution that is given by a straight line. Write the equation for this line and draw it on the slope field.
4. (10 pts) Let De Mn (R) be invertible and define the map T: Mn(R) → Mn (R) by T(A) = D2 AD-1. 3 (a) (3 pts) Show that T is a linear map. 3 (b) (7 pts) Show that T is an isomorphism.
4 a) Linearize the following equation where L and T are the variables: m me b) What are the slope and intercept of your new equation? c) check that your new equation is dimensionally correct (L is a length. g is an acceleration, and T is a time)
Question 8 (10 points) Consider the following parametric curve: æ(t) = ť- 2t+2, y(t) = ť- 2+ + 2t - 3 In the FIRST answer box, write the SLOPE of the tangent line at t-2 and in the SECOND answer box, write the EQUATION of the tangent line at t-2. You do NOT need to show work. -
Question 8 (10 points) Consider the following parametric curve: æ(t) = ť- 2t+2, y(t) = ť- 2+ + 2t - 3 In the FIRST answer box, write the SLOPE of the tangent line at t-2 and in the SECOND answer box, write the EQUATION of the tangent line at t-2. You do NOT need to show work. -