#7, #11, #17 please Calculating the Curl and the Divergence In Exercises 1-20, calculate curl F and divF of the given vector fields F. F = 1 1. F= (°yz?, xyz, wy) 2. F= (x+y23, xyz2, xz) 3. F= (zey, well, ye**) 4. F = (xeyz, zety, ye** ) 5. F= (xsin yz, y sin xz, zsin zy) 6. F = (y sin uz, e sinyz, 2 sinxy) 7, F = (sin x cos z, sin y cos x, sin...
What is the domain and range of the function f(x, y, z) = xz + e^y?
8Two vector fields are given: F(x,y,z) - (esin(yz), ze* cos(yz), ye* cos(yz)) and F(x,y,z) = (z cos y, xz sin y, x cos y). a) Determine which vector field above is conservative. Justify. Foly = fjol so, <ea sin(J2), 20% cos(82), y acos (92)) Conservative. b) For the vector field that is conservative, find a function f such that F - Vf. Lxelsing2, zetos yea, yet cosy 2 c) Use the Fundamental Theorem of Line Integrals to find the work...
Numbers 1 and 2 please • Giren f(x, y, z) = ye" + x1nz Find E, ly, la, tra, Exy 2 Given w= xy + y +XZ. X= s. cost y=s. sint z =t Find dw and dw dt
+y 5. For the function f(x, y, z) = x cos(y + xz), find fazyz. (7 Pts) 6 Find annuntian ful
If x, y, and z ∈ Z show that (x + y)z = xz + yz, where x = (a, b), y = (c, d), and z = (e, f)
Given the function f(x, y, z) = xy +xz write f (x, y, z) as a sum of min terms and a product of max terms.
just answer pls Find fyy if f(x,y) = x In y + yet. Ox+ y 20 er + ye*
Find dy/dx of the next relations 16) y e'B 17) y VB 18) y [e'(B] e (Br) are cos(x) 19) y 20) y [e [5 ] 21)y [log(arctan x)] [logs(arccot x)] 16) y e'B 17) y VB 18) y [e'(B] e (Br) are cos(x) 19) y 20) y [e [5 ] 21)y [log(arctan x)] [logs(arccot x)]
I. a) (4 points) For a given function F(x, y, z) = xz + (y + z)(x + z) Draw the logic circuit diagram of the function: b) Using Boolean Algebra to simply the above function c) Use Demorgan's Theorem to find out the complement of the above function F(x,y,z)xz+ + 2)(x +z)