syms x y z X = -3; Y = 4; Z = 2; field = [X^2Y X 2*Y*Z]; vars = [x y z]; divergence(field,vars)
MATLAB ONLY how to find the divergence through MATLAB of A=x^2y + x + 2yz with...
3. Divergence Find the divergence of: a) F(x,y,z)=(-2y x b) F(x, y, z) = (y2– 2x 5x’y x+32] c) i = [3y – 2yx xy2 +6z²x]
3. Divergence Find the divergence of: a) Ē(x, y, z)=(-2y x 0] b) F(x,y,z)= (y2 – 2x 5x’y x+37] c) v =[3y–2yx xy? -62?x]
find maximum value with steepest ascent method of f(x,y)=5+2xy+2y-x^2-2y^2 by: a)program code(any but matlab is preferred) b)without program code Do 3times of iteration with initial guess is (x,y)=(0.25,0.25)
Please use matlab for the following problem
I. For the function. /(x) -X-4X+2XY+2Y+2Y+14 a. Plot the surface function for X over [5 6]. and Y over [-4, -2]. ecolour plot for X over [O 101 and Yover [43] and values for the contours of V [1 1.25 1.5 22.5 3] c. Write an m-file to find the minimum of the function using the gradient descent method Use a starting value of [4, -4].
I. For the function. /(x) -X-4X+2XY+2Y+2Y+14 a....
5 Use the Divergence theorem to find the outward flux. a. F(a, y,z)-(6x2+ + 2xy, 2y + xz, 4x2y); G: The solid cut from the first octant by the cylinder x2+y - 4 and the plane 3. (In(x2+Уг),-2z arctan(y/x), z (x2 +y2); G:The solid between the b. F(r, y, z) Vx + y*); G: The solid between the cylinders x2 + y.2 1 and x2+ y2 2, -1szs4. c Fxy)-(2xy', 2x'y, -): G: The solid bounded by the cylinder x?1...
x²y + 5. Find the exact value of lim (5,7,2)=(0,0,0) 3&4 + 4y2 + 2yz? if it exists. 9 -524
Let C be the curve (x - 3)2 + 9(y – 1)2 = 36, x +2y + z = 4, oriented counterclockwise when viewed from high on the z-axis. Let F be as shown below. Evaluate $.F. F.dr. F= (32² + 3y² + sin x? )i + (6xy + 3z)j + (x2 + 2yz)k $. F. dr= (Type an exact answer.) с
Use the Divergence Theorem to compute the ux of the vector eld F(x, y, z) = .5x^2i-(1/3)y^3zj+1/2y^2z^2k through the boundary of the cylinder determined by x2 + y 2 ≤ 4, 0 ≤z ≤ 2.
ANSWER FOR NEWTON'S METHOD ON MATLAB ONLY
PLEASE
Implement Newton's method for finding minima. Compare these for the following task: find all maxima and minima of (-- 1)(x+ 3) exp(-x?). You can compare the methods byla the number onerationen 14 Fe 41 to 09/17 nahihicul lou choosing starting points e la reconegut
Ila A three-dimensional velocity distribution is given by u=-x, v-2y, w-5-. Find the equation of the streamline through (2,1,1). Ans:x,5-2-(5-z)/x A three-dimensional velocity distribution is given by u=-x, v=2y, w= 6-2. Find the equation of the streamline through (1,2,3). Ans : xv) 1414 and (6-2)/x = 3 fundb L