please help solve 4 and 5 4a. Find the directional angle of 5π/4 with the x-axis....
Find the directional derivative of f(x,y,z)=xy+z^3 at the point (2,3,1) in the direction of a vector making an angle of 3π/4 with ∇f(2,3,1).
Please do the parts in the given order tyā (x,y)メ(0,0) (x,y)= (0,0). if if 1 (d) Given the unit vector u-( find the directional derivative of f(x, y) at the 리지, ,- point (to,m) = (0,0), in the direction of the vector a. (e) Find the gradient of f(x, y) at the point (zo,o) (0,0) (c) Find the equation of the tangent plane to the graph of the function z -f(x, y) at the point (x,y,z) (1,0,0). tyā (x,y)メ(0,0) (x,y)=...
6) a (15 pts) Find the derivative of (x,y,z-xy, + x3yz + z3yx in the direction of v -2 -4k at the function fix.y z) at the point vo Can you find any direction(s) where the surface is neither increasing nor decreasing? e point vo (2, 1, -3). What is the rate of maximal increase to the b. (10 pts) Find a normal vector and the tangent plane to the following level surface x'y t yz+2 3 at (1, 1,...
(5 points) (a): Find the directional derivative of \(f(x, y)=y^{2} \ln x\) at \(P(1,4)\) in the direction of \(\mathbf{u}=-3 \mathbf{i}+3 \mathbf{j}\)(b): Find the equation for the tangent plane and normal line to the surface \(\cos (\pi x)-x^{2} y+e^{x z}+y z=4\) at \(P(0,1,2)\)
please solve now (a) 3 marks The directional derivative of f(x,y) at a point P in the direction of the vector <2,3 > equals 7, and the directional derivative of f(x,y) at a point P in the direction of the vector < 1,-2 > equals 5. Find Vf at P. (b) 4 marks (c) 4 marks Find Zxy if z3 = xz+y. (d) 4 marks Find and classify all local extreme points of f(x,y) = x3 + y3 - 3x...
hi friends. I need the solution of all these questions Let us find the directional derivative of (a) f-: 3.rs_ Зуг in the direction j at (1.2.3). (b) f ะ: V.e2 +1,2 in the direction 2i + 2j + k at (0,-2,1). (c) ,f-sin(z) + cos(y) + sin(z) in the direction 2 +TJ at (r,0,T)
Can i have this as soon as possible please? I will give a rate!! or f(x, y, z) x2y + y2 + xz , compute a) the directional derivative at ( 1, 2, 4) in the direction of 12,2,1) , b) the maximum value of the directional derivative of fat (1.2,4), and c) the direction of the minimum directional derivative of fat (1,2,4). (10 pts) or f(x, y, z) x2y + y2 + xz , compute a) the directional derivative...
12. (5 points) (a): Find the directional derivative of f(x, y) = y² In r at P(1,4) in the direction of u = -3i + 3j. (b): Find the equation for the tangent plane and normal line to the surface cos(70) – z’y+e*2 + y2 = 4 at P(0,1,2).
4. Let f(x, y) = 2 - 2x – y + xy. (a) Find the directional derivative of f at the point (2,1) in the direction (-1,1). [2] (b) Find all the critical points of the function f and classify them as local extrema, saddle points, etc. [2]
DUE DATE: 23 MARCH 2020 1 1. Let f(x,y) = (x, y) + (0,0) 0. (x, y) = (0,0) evaluate lim(x,y)=(4,3) [5] 2r + 8y 2. Show that lim does not exist. [10] (*.w)-(2,-1) 2.ry + 2 3. Find the first and second partial derivatives of f(x,y) = tan-'(x + 2y). [16] 4. If z is implicitly defined as a function of x and y by I?+y2 + 2 = 1, show az Əz that +y=z [14] ar ду 5....