19. Here are homogeneous coordinates for six points. Ai = (1, 0, 1) B1 (2, 0,...
Assume that the transition matrix from basis B = {b1, b2, b3} to basis C = {c1, c2, c3} is PC,B = 1/2*[ 0 -1 1 ; -1 1 1 ; 1 0 0 ]. (a) If u = b1 + b2 + 2b3, find [u]C. (b) Calculate PB,C. (c) Suppose that c1 = (1, 2, 3), c2 = (1, 2, 0), c3 = (1, 0, 0) and let S be the standard basis for R 3 . (i) Find...
the answer to 6 is 9 I just do not know 7 006 (part 1 of 2) 10.0 points A ladder rests against a vertical l There is no friction between the wall and t adder The coefficient of static friction between the ladder and the ground is0.581 ue 18-19 marder (OlsonM302K1819 2 6 A2, B, CI 7. Al. B C2 8. A2, B1, C3 9. Ai, B2, C3 10. B C3 007 (part 2 of 2) 10.0 points Determine...
006 (part 1 of 2) 10.0 points A ladder rests against a vertical wall. There is no friction between the wall and the ladder. The coefficient of static friction between the ladder and the ground is μ-0.581 Fu μ 0.581 Consider the following expressions: A1: f=Fe A2: f= For sin θ where the ground wall, f: force of friction between the ladder ar Fu: normal force on the ladder due to th 0: angle between the ladder and the groun...
5. Repeat the same questions in 4.) for the ODE Py"- tt+2)y+(t+2)y2t3, (t>0) (a) Find the general solution of the homogeneous ODE y"- 5y +6y 0. Particularly find yi and (b) Find the equivalent nonhomogeneous system of first order with the chan of variable y (c) Show that (nvand 2( re solutions of the homogeneous system of ODEs (d) Find the variation of parameters equations that have to be satisfic 1 for y(t) vi(t)u(t) + (e) Find the variation of...
Consider an ideal gas of noninteracting bosons of mass m 0 in 3-D. 1. The fugacity z-eß-c"/hT of the gas can be expanded as a polynomial of the density ρ(-1/v yv): Find Ao, A, and A2. Useful formula: /2(e)+ .. 2. Ί1Kjaessme can bc expanded as The pre where po-is the pressure of a classicla ideal gas Without any calculation, determine the sign of B2, and explain your reason. Calculate B2 Sketch B2 as a function of temperature Consider an...
Question 1. A linear homogeneous recurrence relation of degree 2 with constant coefficients is a recurrence relation of the form an = Cian-1 + c2an-2, for real constants Ci and C2, and all n 2. Show that if an = r" for some constant r, then r must satisfy the characteristic equation, p2 - cir= c = 0. Question 2. Given a linear homogeneous recurrence relation of degree 2 with constant coefficients, the solutions of its characteristic equation are called...
Problem 2. (a) Sketch the curves expressed here in polar coordinates r1=1+sin(0); r2 = 2 – sin(6). (b) Find the area of the plane region that lies inside both curves: r1=1+sin() and r2 = 2 - sin(0)
Problem 1 - Find all six possible dot products between the unit vectors of Cartesian coordinates. Find: and k and then values of θ for each of the dot products Do this by finding the magnitudes of you are solving for. Page 1/8 Worksheet 6- Vector Dot and Cross Products Problem 2- Use the answers to problem 1 to find a general equation for multiplying two vectors assuming you already know their components. To do this, substitute the unit vector...
(2 points) Here are several points on the complex plane: The red point represents the complex number zı = and the blue point represents the complex number Z2 = The "modulus" of a complex number z = x+iy, written [z], is the distance of that number from the origin: z) = x2 + y2. Find the modulus of zi. |zıl = 61^(1/2) We can also write a complex number z in polar coordinates (r, 6). The angle is sometimes called...
Question 1 Suppose we are given the data 2 -1 22: 2 -2 0 2 0 -1 -2 -3 30 2 2 2 1 0 -1 0 -1 We aim at fitting the linear model Y; = Bo + Bizil + B22i2 + Ei, i = 1, 2, ..., 7. (1) Find the least square estimate B; (2) Find the R2 statistic; (3) Find ô2 and Cov(); (4) Find a 95% confidence interval for B1; (5) Test Ho: B1 =...