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Question 1 (a) Fd parametric equations for the line segment that joins the point P(2, 3, -3) to the point Q(3, -3, -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 2x+4y+2z-8=0.

Question 1 (a) Fd parametric equations for the line segment that joins the point P(2, 3, -3) to the point Q(3, -3, -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 2x+4y+2z-8=0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 23E
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Question 1 (a) Fd parametric equations for the line segment that joins the point P(2, 3, -3) to the point Q(3, -3, -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 2x+4y+2z-8=0. Question 2 (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t, 3sin(4t)] when t = 0. (b) Evaluate the integral 8 √² (3t 7 + 3ti + 41³ + 1 2t+1 k dt Question 3 (a) Find and sketch the domain of the function f(x,y)=√x+2+√y+3 (b) Evaluate the limit -8xy lim (x,y) → (0,0) 3x² - y² along the y-axis and along the line y = x. Does the limit exist?
Transcribed Image Text:Question 1 (a) Fd parametric equations for the line segment that joins the point P(2, 3, -3) to the point Q(3, -3, -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 2x+4y+2z-8=0. Question 2 (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t, 3sin(4t)] when t = 0. (b) Evaluate the integral 8 √² (3t 7 + 3ti + 41³ + 1 2t+1 k dt Question 3 (a) Find and sketch the domain of the function f(x,y)=√x+2+√y+3 (b) Evaluate the limit -8xy lim (x,y) → (0,0) 3x² - y² along the y-axis and along the line y = x. Does the limit exist?
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