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Find the following: z2+9 e) lim 23į 2-3i z2+i f) lim 2-i 24-1 Write given numbers in the polar form reio: 3 a) (cos 29 + i sin 27)
xx=50 yy=27 zz=69
Question: 03 (8 Points) Note that xx , yy 12, and zz can be found as follows: If your PMU student ID number is 201502675, then xx = 50 12, yy = 262, and zz = 750 xx zz (Important note: Use your student ID to find the values of xx, yy, and zz as explained above irrespective of the ID digits) Find the current 'I' in the circuit shown in Figure 3. 20 V + 1...
find the limits analytically, show all steps
x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2 x-3 1 3. lim 3+ x 3 x2 - 2x -15 4. lim *+-3 x2 + 4x +3 x0 X (4+ x)-16 5. lim X>0 x² - 4 6. lim 1+2 r -8 x x+sin x 7. lim 10 X sin²x 8. lim :-) x 3 sin(4x) 9. lim *** sin(3x) r? 10. lim 1981-COSI 1 11. lim x → X-1 = 1 12....
hw help
Use L'Hospital's rule, if applicable to find the limit. x3-27 lim- * +3 e*2-9-1 Select the correct answer. 0 27 ООО DNE or Use L'Hospital's rule, if applicable, to find the limit In(3x2+5) lim X3-7 X00 Select the correct answer. DNE or 00 5 3 -7 Solve the following limit using any valid method. x3 + 9 lim *** in (X? + 6) DNE or o 1 انہتا
(2) (a) Let {n}nen be a sequence of complex numbers. Show that if lim, toon = 2, then lim 21+z2+ + + Zn 100 (b) Using (a), find the limit limn7 (m_ +i i zm).
40 Show the following results. 1-e2 (e) lim(2+3-12)tan(/4) (24.3)-4/ 2 (a) lim -+0 isin(3r) エ→2 3 (f) lim(cos x)In | = 1 エ→0 1+ tanz1/sin z 1+ tanh r (b) lim = 1 -+0 nT nT (g) lim cos no0 +sin 6n+1 (c) lim (sin r)1/(2r-) - 1 エ→/2 = e 3n+1 2 + sin r 1 (h) lim 0. (d) lim エー→0 1 In (1 - V-1) - . 2 In(cos x) r+1+
40 Show the following results. 1-e2...
Describe by words and/or pictures, z, z1, z2, such that: 1) |z+5| = 3 2) -3 < Re(z) < 5 3) Arg(z1) = Arg(z2) 4) |z1| = |z2| 5) Im(z1 z*2) = 0 6) |z| = |z*| ** z* = "complex conjugate of z"
Matching problem. Calculate for Z1, Z2 and Z3 the following items: a) Real Power and b) Reactive Power - Be sure to show ALL your work for Canvas upload to get full points. Vs1 Vs2 Vsi = 17.20 V rms Vs2 = 172. 27/2 V rms w = 377 rad/s Z1 = 0.72% 12 Z2 = 1.520.105 2 Zz = 0.3 + j0.4 12
i
found 8pi(2-sqrt(2))
(5) (20 points total) The region W lies between the spheres x2y z2 1 and x2y2 + z2 9 and within the cone z22 +y2with z 2 0; its boundary is the closed surface, S, oriented outward. For G-: < x, y, z >, where -A2 + y2 + z2 . Use the divergence Theorem to computeJI, .ds
(5) (20 points total) The region W lies between the spheres x2y z2 1 and x2y2 + z2 9...
2. Evaluate the surface integral (cos(zz),3ev,-e y) and S is the part of the sphere z2+-2)2 8 where F(x, y,z) that lies above the ry-plane, oriented by outward normal.
2. Evaluate the surface integral (cos(zz),3ev,-e y) and S is the part of the sphere z2+-2)2 8 where F(x, y,z) that lies above the ry-plane, oriented by outward normal.