Find... Find if f(x, y, z) = (x2yz6 + xy) 24c-yz (x2yz6 + xy) 4 (12x25...
Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 10z) k C is the line segment from (3, 0, -3) to (4, 4, 1) (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate [s vf. dr along the given curve C.
Compute fjs = ds == f) Fonds Giver F(x, y, z)=(xy, 8x², yz) and is the surface z=xey where oL x S 1 and obyL3 With upward orientation
1. 2. (1 point) Let f(x,y,z) = 4x2 + xy + yz +5z?. Find the linearization L(x, y, z) of f(x,y,z) at the point (-1, -3, -1). L(x,y,z) = -5x-2y+72-3 Find an upper bound for the magnitude El of the error in the approximation f(x, y, z) ~ L(x, y, z) over the box |x +11 30.04, \y +31 < 0.04, 12 +11 30.04. E 3 (1 point) Let f(x, y) = 3 In(x) +2 In(y). Find the linearization L(av)...
- bram , July It, 2014 I (a) If z=f(x,y) welt u=x²-yz and U=xy find the Tacoblan of le, U with respect to yy. (b) Use the chain rule to evaluate az and dz When Z= sin ax cosby for x=sity-s-t व
Which expression below is equivalent to F(X,Y,Z) = ((X'Y)'(XY)'(YZ')')' a. X'YZ' b. X'YZ + X'Y'Z c. X'Y + XY + YZ' d. X'Y + XY'Z'
(1 point) Find the maximum and minimum values of the function f(x, y, z) = yz + xy subject to the constraints y2 + z2 Minimum value is | = 196 and xy = 8. Maximum value is
5. Let F(x, y, z) = (yz, xz, xy) and define Cr,h = {(x, y, z) : x2 + y2 = p2, z = h}. 1 Show that for any r > 0 and h ER, Sony F. dx = 0
7. (a) Find an example of a Boolean algebra with elements x, y, and z for which xty-x + z but yz. (b) Prove that in any Boolean algebra, if xy- z and+ yxz, then y -z 7. (a) Find an example of a Boolean algebra with elements x, y, and z for which xty-x + z but yz. (b) Prove that in any Boolean algebra, if xy- z and+ yxz, then y -z
(solve) > Implement the boolean function F(x,y,z) = xy + x'y + yz write all the steps and identify the law rule
5. Let F(x, y, z) = (yz, xz, xy) and define 2 Crin = {(x,y,z) : x2 + y2 = r2, 2 = h} Show that for any r > 0 and h ER, le F. dx = 0 Crih