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7. Describe and sketch the surface in R³ represented by the equa- tion x + y = 2.

7. Describe and sketch the surface in R³ represented by the equa- tion x + y = 2.

Advanced Engineering Mathematics
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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7 please The final answer is (7A vertical plane that intersects the xy-plane in the line y = 2 - x, z = 0)
points (x, y, z) whose alities represent the region that lies between (or on) the spheres so given that z 0, so the points lie on or below the xy-plane. dx² + y² + ² = 4 and beneath (or on) the xy-plane. It is 5. h 5 7. Describe and sketch the surface in R³ represented by the equa- tion x + y = 2. 8. Describe and sketch the surface in R³ represented by the equa- tion x² + z² = 9. at 9-10 Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles triangle? 9. P(3, -2, -3), Q(7, 0, 1), R(1, 2, 1) 10. P(2, -1,0), Q(4, 1, 1), R(4, -5,4) 11. Determine whether the points lie on a straight line. (a) A(2,4, 2), B(3,7,-2), C(1,3,3) (b) D(0, -5,5), E(1, -2, 4), F(3, 4, 2) 12. Find the distance from (4, -2, 6) to each of the following. (a) The xy-plane (c) The (1) L lone
Transcribed Image Text:points (x, y, z) whose alities represent the region that lies between (or on) the spheres so given that z 0, so the points lie on or below the xy-plane. dx² + y² + ² = 4 and beneath (or on) the xy-plane. It is 5. h 5 7. Describe and sketch the surface in R³ represented by the equa- tion x + y = 2. 8. Describe and sketch the surface in R³ represented by the equa- tion x² + z² = 9. at 9-10 Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles triangle? 9. P(3, -2, -3), Q(7, 0, 1), R(1, 2, 1) 10. P(2, -1,0), Q(4, 1, 1), R(4, -5,4) 11. Determine whether the points lie on a straight line. (a) A(2,4, 2), B(3,7,-2), C(1,3,3) (b) D(0, -5,5), E(1, -2, 4), F(3, 4, 2) 12. Find the distance from (4, -2, 6) to each of the following. (a) The xy-plane (c) The (1) L lone
(2825) 2.0 EA ZA 2 2 y=2-x + (z - 5)² = 16; , x = 0 (a circle) +(z - 1)² = 30 (2, 0, -6), 9/√2 y=2-x, z=0 MI MI (1-) Z 6.21 = 2√10, |RP| = 6; isosceles triangle
Transcribed Image Text:(2825) 2.0 EA ZA 2 2 y=2-x + (z - 5)² = 16; , x = 0 (a circle) +(z - 1)² = 30 (2, 0, -6), 9/√2 y=2-x, z=0 MI MI (1-) Z 6.21 = 2√10, |RP| = 6; isosceles triangle
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