Question 2 Find T(I) and N(t) at the given point. x = e' cosi, y =...
Question 2 Find T(t) and N(t) at the given point. x= e cost, y = e sint, z=e; t = 0 and the vector k as Enter the vector i as 7, the vector j as , T(0) = Edit N(0) = Edit
-US Help 1 System Announcements Anton, Calculus! Early Transcendentals, lle Start Time: 10:47 PM / Remaining: 79 min. ES Question 2 Find T() and N(t) at the given point. x = e' cost, y = e' sint, z = e'; t = 0 Enter the vector i as $7, the vector jas 7, and the vector k as T(0) = Edit N(0) = Edit US Anton, Calculus: Early Transcendentals, 11e Help | System Announcements tart Time: 10:47 PM / Remaining:...
Chapter 15, Section 15.1, Question 020 Find diy F and curl F. F(x,y,z) = 4e" i - 7 cosy j + 10 sin’z k Enter the exact answers. Enter a value in each entry area, even if the coefficients are 0 or 1 for curl F. div F = ? Edit curl F = 2 Edit Di + ? Edit Dj + ( 2 Edit k By accessing this Question Assistance, you will learn while you eam points based on...
(B)(C)(D)(E)(G)(I)(J) 39 Write the Taylor expansion of function f order n at to given below. 1 (a) (g)2+v1+ I, n 2,ro - 0 n = 7, xo = 0 1 -2-3 (b) sin z cos(2x), (c) z In(2+3z), VI+I n= 3, To = 0 1 +e-1/ (h) 2+x n =5,xo= +o0 n= 3, ro = 1 T (i) cos (2r), n 4, xo= 6 (d) n = 7,xo = 0 COSI i) V+-VI3-, n 4, 1o =+00 (e) In(1+ arcsin(2r)),...
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...
Question 7 Find the gradiant off at the indicated point. VT f(x,y) = 4 sin x + cos by; ,0 Enter your answer in unit vector notation; that is, in terms of i and j. Use "pi" or symbol i to enter the i. ,0 Edit
A 12-N force is applied at the point x=3m, y=1m. Find the torque about the origin if the force points in (a) the x direction, (b) the y direction, and (c) the z direction. Part A For example, for vector <1,1,1> enter i^+j^+k^. Part B For example, for vector <1,1,1> enter i^+j^+k^. Part C For example, for vector <1,1,1> enter i^+j^+k^.
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
Linear Algebra! Practice exam #1 question 1 Thanks for sloving! 1- Transformations (3 points each) a) Given a linear transformation T :N" N" T(x,y)-(x-y,x+y) and B= {< l, 0>.< 1,1 >} , B = {< l, l>,< 0, l>} V,-< 2, l> Find V,T,and TVg) b) Given a linear transformation T:n'->n2 T(x,y,2)-(x-z,x +2y)and V =< 2,-I, I> B= {<l, 0, 1>.< 1, 1, 0 >, < 0, l, 0 >}, B' = {<l, l >, < 0, 1 >} Find...
x =-y+2 = -z+2 The symmetric equations for 2 lines in 3-D space are given as: 1. L,: x-2 = -y+1 = z+1 a) Show that lines L1 and L2 are skew lines. b) Find the distance between these 2 lines x =1-t y=-3+2t passes through the plane x+ y+z-4=0 2. The line Determine the position of the penetration point. a. Find the angle that the line forms with the plane normal vector n. This angle is also known as...