For each of the following curves in R², draw a picture and give a parametriza-tion using a single vector function (including domain) of the following curves in R².A. the linear path along z-y = 9 from (9,0) to (5,--4).

we have to find parametrization for the given curve ;-- a linear path along x - y =9 from (9,0)…

Answered: on using a single vector function…

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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Similar questions

1) Find the length of the function r = (9-2t, 4+2t, √2t²) on 0 ≤ t ≤ 1. 2) For the vector function from the previous problem, what is T T (+) ²
Use the function to find the image of v and the preimage of w. T(V1 V2, V1 + V2, 2V1 - 2 v = (8, 8), w = (-3/2, -2, -10) 1' 1 2 2 (a) the image of v (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)
If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector AP that is orthogonal to the vector AB. P A B Use the method above to find the distance from the point P(-3, 1, 11) to the line through A(1, 1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance
Suppose a, b, and c are positive real numbers satisfying a2 = b2 + c2.r(t) = acos(t),bsin(t),csin(t) , 0 ≤ t ≤ 2πThen the vector-valued functiondescribes a tilted circle (a circle in a plane that is not parallel to one of the coordinateplanes). The center of the circle is O(0, 0, 0).(a) Show that |r(t)| is constant and determine the constant. This is the radius of thecircle.(b) Find an equation for the plane that contains the circle by doing the following:(i) Find three points on the circle.(ii) Use the three points to find a normal vector to the plane containing the three points.(iii) Find an equation for the plane. Check: does the plane contain the center of the circle?(iv) Simplify the equation as much as possible. (Since a, b and c are positive real numbers, you can divide by them without dividing by zero.)
||x)、メ Hiwi frnd the Curvatare for each the Fallowing vector function Pl =
Use the function to find the image of v and the preimage of w. T(V1, V2) = (V1 + V2, V1 – V2), v = (5, –6), w = (3, 17) (a) the image of v (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)
If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector AP that is orthogonal to the vector AB. P L B Use the method above to find the distance from the point P(-3,1, 12) to the line through A(1,1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance = %3D

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