Workshop #7 (Calculus III) - Edubirdie

University:
Seattle Pacific University
Course:
MAT 1236 | Calculus III
Academic year:

2024
Views:

336

Pages:

1
Author:

hakulap1d

Workshop #7 1. Graph each of the equations twice. Your first graph of each should be in R2 , and your second graph of each should be in R3 . (a) 4x2 + y 2 = 4 (b) y = x2 (c) y = x (d) y = ln x 2. Sketch the graph in R3 . (a) y 2 + 9z 2 = 9 (b) z = x2 (c) z = y + 1 3. Use traces to sketch and identify the surface. Identify the surface by its proper name, and, if appropriate, along which axis the graph is centered. (a) z = x2 + y 2 (b) x2 + 4y 2 + z 2 = 4 (c) 4x2 + 2y 2 − z 2 = 8 (d) 4 − 11x2 − 11y 2 − 11z 2 = 0 (e) y 2 − x2 − z 2 = 0 (f) x2 − y 2 − z 2 = 16 (g) y = 1 − x2 − z 2 (h) x + y 2 = 5

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