Workshop #12 (Calculus III) | Seattle Pacific University - Edubirdie

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

2024
Views:

448

Pages:

1
Author:

Payton Perry

Workshop #12 1. Find and sketch the domain. What dimension does the domain live in? What dimension does the graph live in? √ (a) f (x, y) = 2x − y p p (b) f (x, y) = y + 25 − x2 − y 2 √ (c) f (x, y, z) = x + y − z 1 (d) f (x, y, z) = 2 x + y2 + z2 2. Sketch the graph of each function. (a) f (x, y) = x2 + y 2 p (b) f (x, y) = x2 + y 2 (c) f (x, y) = 2x2 + 5y 2 p (d) f (x, y) = 4 − x2 − y 2 p (e) f (x, y) = 3 + 4 − x2 − y 2 (f) f (x, y) = x + y (g) f (x, y) = xy (h) f (x, y) = x2 (i) f (x, y) = 7 3. (a) Sketch the curve given by x2 + y 2 = 1 in R2 . (b) Sketch the surface given by x2 + y 2 = 1 in R3 . (c) Sketch the curve given by y = x2 in R2 . (d) Sketch the surface given by y = x2 in R3 .

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