Question 2 Find T(t) and N(t) at the given point. x= e cost, y = e...
Question 2 Find T(I) and N(t) at the given point. x = e' cosi, y = e' sint, z = d'; 1= 0 Enter the vector i as 7, the vector jas 7, and the vector k as T(0) = ? Edit N(0) = 2 Edit MapleNet
-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:...
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^.
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...
Suppose C is a curve parametrized by r(t)=<cost,sint,1> and S is the portion of z=x^2+y^2 enclosed by C, located in the vector field F=<z,-x,y>. 25. Suppose C is the curve parametrized by F(t) = (cost, sint, 1) and S is the portion of z = x2 + y2 enclosed by C, located in the vector field F = (2, -,y). Verify Stokes' theorem. That is, find show they are, in fact, the same. fe dr and SIC (curl ) ñds...
(1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 0 < t < π (1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 0
Given the path C: x(t) = (cost, sint, t), 0<t<2n. Let f(t, y, z) = x2 + y2 + 22. Evaluate (12 pts) f(,y,z)ds.
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...