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Question: 18 find equations that describe the intersection of the surfaces...

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18. Find equations that describe the intersection of the surfaces and identify the intersection curve 19. Sketch the graph of the cylindrical surface in 3D space. 20. Sketch the graph of the cylindrical surface x2+y*-4 In 3D space. 21. A rectangular box in 3D space has edges that are parallel to the coordinate axes The edge parallel to the x-axis has length 2, the edge parallel to the y-axis has length 4, and the edge parallel to the z-axis has length 7. If P is the top left front corner of the box, and Q is the bottom back right corner of the box, find the scalar components of the displacement vector from P to Q, and write the vector in elbow 22. A vector in the xy-plane has initial point (0,0) and terminal point in the first quadrant. The magnitude of the vector is 7, and the vector makes an angle of 30 degrees with the positive x-axis. Find the exact scalar components of the vector, and write the vector in elbow notation. No trigonometric functions will appear in your final answer 23. S is the sphere of radius 5 centered at (1,2, 3). Find the displacement vector from the highest point on the sphere to the lowest point on the sphere.

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