1. Evaluate (ſ v*+3rdd where Dis the region in the 3* quadrant between xº+y=l and +++y*=9.
9. Evaluate || 7x?+14ydd where D is the region bounded by r=2y” and x=8 in the order given below. (a) Integrate with res... 查看全部
Use row operations to change the matrix below to reduced form. 1 6 -6 1 0 5 - 25 1 1 0-1 5 5 5 1 6 -6 - 1 0 5 - 25 1 0 -... 查看全部
Suppose a, b∈R with a < b, and R is endowed with theeuclidean topology.(a) Prove that [a, b) is not open in R. (b) Pr... 查看全部
Solve using Gauss-Jordan elimination 3x + 2x2 2x2 - 6x3 = -28 4x, +26x2 - 72x3 = - 136 Xy + 4x2 - 11x3 = - 23 Select the... 查看全部
2. Find the eigenvalues and eigenspaces for A -6 .
(a) Let S={0,1,1/2,1/3,1/4, . . . ,1/n, . . .}. Prove that S isclosed in the euclidean topology on R.(b) What if we remo... 查看全部
4. Use Cramer's Rule to solve the following: (8 points) 2x1 + x2 = 3 4x1 – 3x2 = 4 5 Find the area of the triangle ... 查看全部
That is, find P, P-1, and D such that 2 0 0 3. Diagonalize the matrix A = 13 4 -6 3 3/2 -5/2 P-AP = D.
Reproduce the tangency of Figure 5 using a pair of compass and pencil and indicate all the dimensions. Use a scale of 1:... 查看全部