Palb blem ffect σ -u plane cuct? cmo S-i plane, theffeet nction en with c Cross secn Conslantlung a luc Palb blem ffect σ -u plane cuct? cmo S-i plane, theffeet nction en with c Cross...
Question 2. Define σ: R2-R by σ(u,t)-(u+cosu, sinu, u), and let S be the image of σ. (1) Show that S is a ruled surface. (2) Give a quadratic equation for S, and show S is a quadric. (3) Show that S is an elliptic cylinder, so that a cross section of S perpendicular to the rulings is an ellipse. What are the lengths of its axes? Question 2. Define σ: R2-R by σ(u,t)-(u+cosu, sinu, u), and let S be...
5. Suppose σ is a parametric surface with vector equation r(14. u) x (u, u)i + y(u, u)j + z(u, v)k If σ has no self-intersections and σ 1s smooth on a region R in the uu-plane, then the surface area of ơ is given by 5. Suppose σ is a parametric surface with vector equation r(14. u) x (u, u)i + y(u, u)j + z(u, v)k If σ has no self-intersections and σ 1s smooth on a region R...
How do i solve the incorrect answers? (i) if (s = σ + jw) denotes a point on the s-plane and z = re" denotes the same point on z-plane that is mapped by bilinear trasformation. Give expressions for r and 0 in terms of σ and ω given the sampling rate is 1/T, where T is a constant. Hint: You can type in w as 'omega', and σ as 'sigma', and tan-1 as 'atan' sqrt((1-(T^2*sigma"2)/4-T"2"omega^2/4). r= Your last answer...
(2) Let S be the surface parametrized by r(u, v) = (u? – 12)i + (u + v)j + (u? + 3v)k. (a) Find a normal vector to S at the point (3,1,1). (b) Find an equation of the tangent plane to S at (3, 1, 1).
please help me solve this whole mechanical design problem thanks Q3. (30 points) For the state of plane stress shown, Stresses, σ. σ2 (b) the orientation of the principal stresses, s, (c) the maximum in plane shearing stress, Tmar and (d) its orientation, p. (e) the normal stress at the plane of maximum shear stress, (1) sketch of the rotated plane element for the principal stresses and the rotated plane element for maximum shear stress similar to figure 1, below...
Q1. Given the points A: (0,0,2), B: (3,0,2), C: (1,2,1), and D: (2, 1,4 a) Find the cross product v - AB x AC. b) Find the equation of the plane P containing the triangle with vertices A, B, and C c) Find u the unit normal vector to P with direction v d) Find the component of AD over u and the angle between AD and u, then calculate the volume of the parallelepiped with edges AB, AC, AD...
5.Steady-state flow in a nozzle of unknown cross sectional area is given by u-u(x) ax3+ bx+c where a, b, and c are unknown coefficients to be determined. At the inlet (x 0) the velocity is 2 m/s, at the outlet (x=L = 2 m) the velocity is 8 m/s and a velocity extremum (maximum or minimum) is known to occur at midpoint (x L/2 1 m). Derive the equation of acceleration as a function of x. Calculate the acceleration at...
5. [20+5+5] In the regression modely, x,B+ s, pe,+u, ,where I ρ k l and , , let ε, follow an autoregressive (AR) process u' ~ID(Qơ:) , t-l, 2, ,n . <l and u, - Derive the variance-covariance matrix Σ of (q ,6, , , ε" )". From the expression of Σ, identify and interpret Var(.) , t-1, 2, , n . Find the CorrG.ε. and explain its behavior as "s" increases, (s>0). (ii) (iii) 5. [20+5+5] In the regression...
1 G.3.e.1) Here is: , Norma c und i st tx, μ, σ] Clear(x, μ, σ]; Normal cumdist[x, μ, σ] You can be sure that Norma lcumdist[x. μ, σ] computes out to the same value no matter what μ and σ are Agre Disagree... Here is: Clear(x, μ, σ]; Norma!cumdist [x, μ, σ] when you put x μ + s ơ, you find that Normalcumdist μ + s σ. μ σ Agre..Disagree.. computes out t the same value no ma...
Let 0 < a <b<e<d for a, b, c, d E R. Consider the set S={(u, ujo < u < 1, 0<u<1) and let D be the region in the r-y plance that is the image of S under the variable transformation (a) Sketch D in the r-y plane for the case ad - be>0. (a) Sketch D in the r-y plane for the case ad - be < 0. (c) Calculate the area of D. Show all working.