2. Find the following: a. 13 - 4i| b. 1-5 + 12i| 3. Simplify into one vector: a. 3[3,2] - 25,2] b. }-4,8,10] + [-3,5,–7] – [16, -8,4] 4. Find the dot product: a. [3,4] • (-5,2] b. [-1, -3, -5,7] - [2, 4, 6, 8]
Find A* for the following matrix A: A= =( -3-12i 3 - 10i 6-5i -4+ 7i
16. Find the direction of the force between Q1-5uC r1 (x1-2,y1-3,z1-3) and Q2-4uC r2 (x2-2, y2-3,z2-2) A) 0i 0j-1.3k 21 B) OiOj-56k R12 0 c) 0i 0j-1.45k 17. Find the force (vector) between Q1-33uCr1 (x1-1, y1-2, z1-3) and Q2-63uC r2 (x2-3, y2-3,z2-1) A) .76i .38j -.77k F2 B) .971 48j-.98k R12 C) 1.17i .58j-1.18k D) 1.38i .69-1.39k 16. Find the direction of the force between Q1-5uC r1 (x1-2,y1-3,z1-3) and Q2-4uC r2 (x2-2, y2-3,z2-2) A) 0i 0j-1.3k 21 B) OiOj-56k R12...
7) Find the derivative of the function at P. (-7,-8) in the direction of ū= 12i – 5j for f(x,y) = tan-1 -4633)
Fall (25) 2. Find the limit lim 3z + 12i 27-4i 22 +16 (25) 3. Evaluate the integral positive orientation. cos(12) 4z2 + 8z - 5 dz where C is the circle C: 12+3+ i = 2
0i 62 \Cable 2 Cable 1 nl
2 147 a. Evaluate the triple integral (convert to oylindrical)12I, J xz dz dx dy b. Find the moment of inertia about the z-axis for the solid in the first octant bounded by x2+y2 -4 and z2-x2 + y2 if the density is given by: z. (Use cylindrical.) c. Find the mass of the solid bounded by z2 -x2 +y2 and z 1 in the first octant, if the density is given by: cos. (Use spherical.) 2 147 a. Evaluate...
Question 8 Find the Rel(-1+-7i)/(-4+5i)) This is division. Question 9 Find the Im((9+-61)(-8+7i))
please but the answer in radians if you can thankyou Question 9 Find the Im (w)where w is a solution to Z2 =8+10i Question 10 Find the Im((8+71)(0+-61)) MacBook Air
Problem 4. Find basis and dimension of ker and im y for 9: R3 → R2 4(x, y, z) = (2x + y − 32, x + 4y + 2z)