Question 6 1 pts What is the absolute value of the Jacobian of the mapping $(u,...
Question 20 1 pts What is the absolute value of the Jacobian of: x = uv, y = uż + v2 at the input point (u, v) = (2,3)?
9/: then the Jacobian of the transformation J(u, v) in 2. Ifs= vj and v= (A) 2u/v (B) tua (D) 0
U Question 22 1 pts Find the absolute minimum of f(x, y) = x2 + 4y? - 2x²y + 4 on the square given by -1 << < 1 and -1<y<1. 11 4 8 None of the above or below O-2 07
(1 point) Let (u, v) = (7u+ 3v, 5u + 8v). Use the Jacobian to determine the area of (R) for: (a)R = [0, 4] × [0,9) (b)R = [2, 19] x [6, 10] (a)Area (D(R)) = (b)Area (“(R)) = 1
a. Find the Jacobian of the transformation x = u, y = 4uv and sketch the region G: 1 s u s 2.4 s4uvs 8, in the uv-plane. b. Then usef(x.y) dx dy-f(g(u.v),h(u.v)|J(u,v)l du dv to transform the integral dy dx into an integral over G, and evaluate both integrals a. Find the Jacobian of the transformation x = u, y = 4uv and sketch the region G: 1 s u s 2.4 s4uvs 8, in the uv-plane. b. Then...
1- Two vectors are given as u = 2 – 5j and v=-{+3j. a- Find the vector 2u +3v (by calculation, not by drawing). (4 pts) b- Find the magnitudes luand il of the two vectors. (4 pts) c- Calculate the scalar product u•v. (5 pts) d- Find the angle between the vectors u and v. (6 pts) - Calculate the vector product uxv. (6 pts)
)Given a 4-node element in x-y plane as shown here: Node X 3 3 1 8 a) Using the shape functions in u-v plane, determine an expression for mapped points from u-v to x-y, i.e. x- x(u, v) and y -y(u, v), for points within the 4-node element in u-v plane. Then, determine value of x and y for a point with (u, v)-(0.3,0.3). (10 points) b) Determine the value of Jacobian matrix, [J], and its determinant for such mapping...
Question 11 1 pts Which of the following compounds is tert-butylamine? K. tot H2N А B NH2 С D А B C D
Compute the volume SSSx 1 dV where X is the solid defined by x2 + y2 < 4,0 Sz<10., A) 20 B) 407 C) 201 D) 801 ОА ОС OD OB Question 20 What is the absolute value of the Jacobian of : x = uv, y = u2 + v2 at the input point (u, v) = (2, 3)?
Question 3 0.8 pts Calculate the absolute value for the bending moment at 29 ft from the left for the beam shown. Show free diagrams. Values of the variables are: F=36 kip, P-17 kip, a 19 ft, b-56 ft, c-50 ft. Do not enter the negative sign if the answer is negative. F kips Pkip/ft A В a b с 0.8 pts Question 4