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(a) Find parametric equations for the line segment that joins the point P(-1,-4,-3) to the point Q (3, 2, 2).

(a) Find parametric equations for the line segment that joins the point P(-1,-4,-3) to the point Q (3, 2, 2).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 27RE
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Question 1 (a) Find parametric equations for the line segment that joins the point P(-1, -4,-3) to the point Q (3, 2, 2). (b) Find the point (if any) at which the line given by the parametric equations x = 4-5t, y = 4 + 6t, z = 6 + t intersects the plane-x+3y+3z-6=0. Question 2 (a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(31)] when t - 0. (b) Evaluate the integral [^(-4²7 +31° 7 + 3+²+1 k) dr -4ti dt Question 3 (a) Find and sketch the domain of the function f(x,y)=√x-1+√y-4 (b) Evaluate the limit 4xy lim (x,y) → (0,0) x²-3y² along the y-axis and along the line y the limit exist? = x. Does
Transcribed Image Text:Question 1 (a) Find parametric equations for the line segment that joins the point P(-1, -4,-3) to the point Q (3, 2, 2). (b) Find the point (if any) at which the line given by the parametric equations x = 4-5t, y = 4 + 6t, z = 6 + t intersects the plane-x+3y+3z-6=0. Question 2 (a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(31)] when t - 0. (b) Evaluate the integral [^(-4²7 +31° 7 + 3+²+1 k) dr -4ti dt Question 3 (a) Find and sketch the domain of the function f(x,y)=√x-1+√y-4 (b) Evaluate the limit 4xy lim (x,y) → (0,0) x²-3y² along the y-axis and along the line y the limit exist? = x. Does
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