3. Find the product. a) 3p'(2p +5p)(p +2p+1) b) p(3p+7)(3p-7) c) -(4r-2) d) (2a+3)(a -a' +a-a+ 1)
3. Consider the two planes, P and P2, where Pi is given by the general equation 2x y+2-5 and P2 passes through the points (0,0,-1), (3,2,4) and (2, 4,5). (a) Find L, the line of intersection of the two planes. (b) Suppose another line, L2, has vector equation (x, y, z) = (8,3,-2) + t2(-2, 1, 1). 6 marks] Find where Land L2 intersect 4 marks 3. Consider the two planes, P and P2, where Pi is given by the...
Solve for X in the equation, where -5-4 A=| 3 01 and B =| 2 L 2-5 L3-2 X=3A-2B X= Need Help? Read ItTalk to a Tutor
Let's have the following two goods economy: (i) Qa1 = 4-P1 +2P, (ii) Qx1 = -3+P - 2P, (iii) Qd2 = 1 - 3P + P2 (iv) Qx2 = -5-P1-P. a) Solve for the equilibrium Q.1, Qs1, Qd2, Q.x2, P1, and P2. b) Does your answer make economics sense?
Solve the equation. 3 2t + 2 4 5 (Type t = an integer or a simplified fraction.) Solve the equation. 3 2t + 2 4 5 (Type t = an integer or a simplified fraction.)
or at a 6 for 5 Solve the equation by using implicit FDM(,t)-4 (3,t)-2 or at a 6 for 5 Solve the equation by using implicit FDM(,t)-4 (3,t)-2
Given Q-10-Sp Demand Q-6+3P Solved for P and Q 0-5p-6+3P 4-8P QElo-5 Q-p Q75 a 75 Draw the graph for the two functions G-6-3P9P &6+ 3 G1o-5 a2-P O10-5 P22 C-613p O-622 3 3 39-2-P
pls solve all! thanks! Solve the equation on the interval 10,360"). (3 each) 1) 5 sin 0.1-sino 2) 2 cos20.3 cos 0 1 - 0 3) 4 tan2o. 7 tan 0-2 - 0 4] 3 sin x + sin = 0 Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles to the nearest tenth of a degree. (+5) B с 5) B-35, b 572
dP 7. For the equation = (P+2)(P2 - 6P+5)find the equilibrium points and make a phase dt portrait of the differential equation. Classify each equilibrium point as asymptotically stable, unstable or semi-stable. Sketch typical solution curves determined by the graphs of equilibrium solutions. (6pts)
1. Suppose U(X1, X2) = 2lnx, + 3lnx, and P, = 4, P2 = 1, and m = 20. (15pts) a. Solve for the Utility maximizing amounts of x, and X2. b. Is this an interior or corner solution? c. Is the budget exhausted here? Yes/no d. Assume that the above prices and income have all doubled. How does this change your solution in a? e. Set up the Lagrangian for this problem (but do not solve it) 2. Suppose...