[10] (2) GIVEN: The surface given by : x² + y² + 2z² = 6and the line L: c(t) = (1-t, 2+t, 1+2t), t = RFIND: The set of points: LnQ.(Be careful: The form of the answer must be a set!& Remember your answer must be boxed)

Answered: Image /qna-images/answer/953045bd-5e07-4ff7-8ab9-69526497ae39.jpg

Answered: [10] (2) GIVEN: The surface given by :…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let (P) be the surface given by the following equation z = 5-x²-y² and (Q) be the surface given by the following figure: Then (P) is a circular paraboloid around z-axis and (Q) is the surface given by O This option (P) is a circular cone around z-axis and (Q) is the surface given by+4+5= O This option
Match the quadric surfaces to its graph. A. y = 1+ x? + z? C. x? + y? = 22 B. y? + 22 = x² D. 22 = 4+ 4x² + 4y? I. (0, 0,3) I. II. IV. (0, 0, 2) (0, 0, 2) (0, 3, 0) (1, 0, 0) (0, 4, 0) (2, 0, 0) 2, 0) (0, 2, 0) x (2, 0, 0) V. VI. VII. VIII. A Z (0, -1, 0) (0, 1, 0) (0, 0, 2)
Check the alternative that contains the points of intersection of the line r below with the coordinate planes:r:{y=2x+6z=4x+4 Choose the correct alternative a. (0,6,4) and (−6,0,−10) and (1,4,0) b. (0,6,2) and (6,0,−12) and (12,16,0) c. (0,−6,2) and (−3,0,−10) and (−4,5,0 d. (0,6,4) and (−3,0,−8) and (−1,4,0) e. (0,6,4) and (3,0,8) and (−1/2,5,0)
Calculate ∫ 3xzdx + 4yzdy + 2xydz, from the point A(0,0,0) to the point B(1,1,2), along the paths:i) line segment AB ii) intersection of surfaces z = x2+y2 and y = xThen, compare the results.note: answer for (i) is 6, and (ii) is 11/2i just dont know if they relate in some way
-Given two parallel planes, calculate the distance between them 1=5x+2y-12-2 2=15x+6y-3z+5 x = 0 Y = 0
Q2. A. Show that the plane 3x +y-z = 9 and the line {x 2,y -1+3t,z 1+ 3t} are parallel, then find the distance between them. (20 Marks)
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[10] (2) GIVEN: The surface given by : x² + y² + 2z² = 6 and the line L: c(t) = (1-t, 2+t, 1+2t), t = R FIND: The set of points: LnQ. (Be careful: The form of the answer must be a set! & Remember your answer must be boxed)