Workshop #22 (Calculus III) - Edubirdie

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

2024
Views:

354

Pages:

1
Author:

Emilee Weeks

Workshop #22 1. Evaluate the √ integral by first sketching the region of integration, and then changing to polar coordiZ 0 Z 4−y2 sin(x2 + y 2 ) dxdy. nates: −2 0 2. Using a double integral and polar coordinates to find the volume of the solid bounded by the paraboloids z = 12 − 2x2 − y 2 and z = x2 + 2y 2 . 3. Cylindrical Coordinates consist of polar coordinates in the xy-plane, with the added height variable of z, so a point is denoted by (r, θ, z). Sketch a graph of the region describe by the following equations and inequalities in R3 . −π (a) (r, θ, z) = 2, ,5 3 π (b) θ = 6 (c) r = 2 (d) 0 ≤ θ ≤ π 4 (e) 0 ≤ r ≤ 2, 2 ≤ z ≤ 5 (f) −3π −π ≤θ≤ , 0 ≤ r ≤ 3, −7 ≤ z ≤ −2 2 2

Related Documents

Workshop #22 (Calculus III)

Workshop #22 (Calculus III) - Page 1

of 1

Recommended Documents

Workshop #21 (Calculus III)

Workshop #21 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #20 (Calculus III)

Workshop #20 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #2 (Calculus III)

Workshop #2 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #7 (Calculus III)

Workshop #7 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #8 (Calculus III)

Workshop #8 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #29 (Calculus III)

Workshop #29 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #17.75 (Calculus III)

Workshop #17.75 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #10 (Calculus III)

Workshop #10 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #14 (Calculus III)

Workshop #14 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #19 (Calculus III)

Workshop #19 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key

Workshop #3 (Calculus III)

Workshop #3 (Calculus III)

Seattle Pacific University MAT 1236 | Calculus III

Answer Key