2. Let e1(x) = 1, ez(x) = x, p1(x) = 1 – x and p2(x) = –2 + x. Let E = (e1,e2) and B = (P1, P2). 2 a) Show that B is a basis for P1(R). 4 b) Let ce : R → R3 be the change of coordinates from E to ß. Find the matrix representation of C. Leave your answer as a single simplified matrix. 6 c) Let (:,:) be an inner product on P1(R). Suppose...
2. 2.1 Draw the indifference curves for the utility function U(21, 22) = x1 + 3x2. 2.2 What is the marginal rate of substitution evaluated at an arbitrary consumption bundle (21, 22)? 2.3 Suppose that p1 = 5, P2 = 2, and M = 10. Find the utility-maximizing consump- tion bundle (among those that satisfy the budge constraint) for this agent. You should be able to do this without using any calculus: it should be clear from your indifference curves....
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...
Let T: P1 → P2 be a linear transformation defined by T(a + bx) = 3a – 2bx + (a + b)x². (a) Find range(T) and give a basis for range(T). (b) Find ker(T) and give a basis for ker(T). (c) By justifying your answer determine whether T is onto. (d) By justifying your answer determine whether T is one-to-one. (e) Find [T(7 + x)]], where B = {-1, -2x, 4x2}.
Let P1 be the proportion of successes in the first population and let P2 be the proportion of successes in the second population. Suppose that you are testing the hypotheses: H. : P1 P2 = 0 Ha:P1 - P2 = 0 Futhermore suppose that z* = 1.73, find and input the p-value for this test. Round your answer to 4 decimal places. To answer the question input only the actual number. Do not include units. Do not give your answer...
Let P1 be the proportion of successes in the first population and let P2 be the proportion of successes in the second population. Suppose that you are testing the hypotheses: H. : P1 P2 = 0 Ha:P1 - P2 = 0 Futhermore suppose that z* = 1.73, find and input the p-value for this test. Round your answer to 4 decimal places. To answer the question input only the actual number. Do not include units. Do not give your answer...
Exercise 2 Let B= (Po, P1, P2) be the standard basis for P2 and B= (91,92,93) where: 91 = 1+2,92 = x+r2 and 43 = 2 + x + x2 1. Show that S is a basis for P2. 2. Find the transition matrix PsB 3. Find the transition matrix PB-5 4. Let u=3+ 2.c + 2.ra. Deduce the coordinate vector for u relative to S.
Let X, Y Geometric(p) be independent, and let Z a. Find the range of 2. b. Find the PMF of Z c. Find EZ. Let X, Y Geometric(p) be independent, and let Z a. Find the range of 2. b. Find the PMF of Z c. Find EZ.
part b find (x,y,z)= for both (a): (8, pi/3, pi/6) (b): (7, pi/2, 3pi/4) webassin.net Watch Player Cengage Learning HW 1 Section 15.3 - Math 201, section 9585, Spring 2020 Assignment scoring Your last submission is used for your score. -14 POINTS SCALCET8 15.8.001. Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point. (a) (8,/3, /6) (b) (7,1/2, 34/4) WebAssign Plot
Let f be the function defined below on the given region R, and let P be the partition P=P1×P2. Find Uf(P). f(x,y)=3x+4y R:0≤x≤2,0≤y≤1 P1=[0,1,3/2,2],P2=[0,1/2,1] a) Uf(P)=23/4 b) Uf(P)=37/4 c) Uf(P)=39/4 d) Uf(P)=93/8 e) Uf(P)=57/4 f) None of these.