(b) Let r(t)ti-j+(4-e) k, then the vector equation of the line tangent tothe graph of r(t) at the point (4, 1,0) on the curve isA.r-(4i+ j) + t(-4i+j+4k) B. r-(4i- 3) + t(-41+j+ 4k)(e) The

Given:- r(t) =t2 i -(1+t)-1j +(4-t2)k To find:- Vector Equation of tangent line passing through…

Answered: (b) Let r(t)-ti- +(4-t) k, then the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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In R3, derive the equation of a line in vectorial, parametric and canonical form.
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16. Find both the vector equation and the parametric equations of the line through (-2,2,8) and (1, - 4,0), where t =0 corresponds to the first given point. The vector equation is (x,y,z) = + (1). Find the parametric equations of the line through (-2,2,8) in the direction from (-2,2,8) toward (1,-4,0). The parametric equations are x = (Use the answer from the previous step to find this answer.) y%3D (1) O t(3,-6,-8). O t(-6,3,-8). O t(-8,-6,3). O t(-8,3,-6). 17. If possible, find the absolute maximum and minimum values of the following function on the region R. f(x,y) = 5 e-X-Y; R={(x,y): x20, y2 0} Determine the absolute maximum value of f(x,y) on R. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute maximum value of f on R is O B. The function f(x,y) has no absolute maximum value on R. Determine the absolute minimum value of f(x,y) on R. Select the correct choice below and, if necessary, fill in the answer box to…
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(b) Let r(t)-ti- +(4-t) k, then the vector equation of the line tangent to the graph of r(e) at the point (4, 1,0) on the curve is A.r-(4i +j) + t(-4i+j+4k) B.r-(4i-3)+ t(-41 +j+ 4k) Cr-(4i+j) + t(4i +j+ 4k) D.r (4i+5) + t(-4i +j-4k)