hi friends.
I need the solution of all these questions
hi friends. I need the solution of all these questions Let us find the directional derivative...
good evening. i need help with this calculus question. i will thumbs up your answer. Let C be the closed curve defined by r(t) = cos ti+ sin tj + sin 2tk for 0 <t<27. (a) [5 pts) Show that this curve C lies on the surface s defined by 2 = 2xry. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral s F. dr where F(x, y, z) = (y2 + cos z)i + (sin y +22)j...
Please explain all steps. Need to understand. Thanks Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
if answered correctly and neatly i will thumbs up!! please answer all thank you! Calculate the gradient of f(x, y) = sin(x2 – 4y) Vf = Calculate the gradient of h(x, y, z) = x-3y-22-2 Vh= Calculate the directional derivative of S(x,y) = xy in the direction of y = -1 + 2) at the point P = (1,2). Remember to normalize the direction vector. D.$(1.2) = 11 point Calculate the directional derivative of f(x,y) = cos (xy) in the...
Find the directional derivative of f at p in the direction of a. f(x,y,z)=xy+z^2; P(2,-2,2);A=i+j+k
6. (a) Find the directional derivative of f(, y,z)at Po(1,10 in the direction of u-i-2j+k. 4 marks] (b) Letz201), where f is a differentiable function, show that 08z 4 marks] (c) Use Lagrange Multiplier to find the absolute maximum and minimum of 10 (x,y)-x +y subject to 2 12 marks 6. (a) Find the directional derivative of f(, y,z)at Po(1,10 in the direction of u-i-2j+k. 4 marks] (b) Letz201), where f is a differentiable function, show that 08z 4 marks]...
Part 1:. Why the second derivative test works for extrema of functions of two variables We follow the Caleulus 1 example of making sure that the first derivative is 0. And you have seen us simply set the first two partials equal to 0: f-0 and y -0. Then we apply information about a version of the second derivative, namelyDy()in concert with the sign of Ju. Why does this work? Step 1 for this part of the explanation First, is...
Hi need help for these Questions: a. Given f = yi + xzk and g = xyz2, determine (∇ x f ) . ∇g at the point (1,0,3) b. Point A lies on the curve r(t) = 2 cos t i + 2 sin t j + t k for the range 0 ≤ t ≤ 2π . At point A, the tangent vector is T = - 21/2i + 21/2j + k. Determine the co-ordinates of point A and...
PLEASE SHOW ALL WORK AND EXPLAIN BOTH PARTS. Thanks Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
u=2i-j+k v = 37 - 4k w = -51 +7 QUESTION 1)Find the volume of the parallel face determined by the vectors QUESTION 2) f(x, y, z) = xy + y2 + zx a) Find the gradient vector of function f b) Calculate the gradient vector at point P (1, -1, 2) of function f. c) Direction in the direction of the vector v = 3i + 6j - 2k at point P (1,-1,2) of the function f find the...
Hi! Please help me with question #1. Thank you so much! 1) Let F be the function from R x (-1,1) to R3 given by F(u,0)= ( (2- sin u, vsin (2+v cos vcos COS u Let (u, ) and (u2, 2) belong to the domain R x (-1, 1) of F. Prove that F(u1, U1) (u1(4k 2),-v1) for some relative integer k. Hint: In terms of the spacial coordinates a, y,z compare the quantities 2 +y2 F(u2, 2) if...