University:
Georgia Southern University
Course:
MATH 2243 | Calculus 3
Academic year:

2024
Views:

133

Pages:

2
Author:

Jalen W.

Instructor: Shijun Zheng Course: Spring 2023 - Calculus III (MATH2243-A-B) Student: Jalen Wilson Date: 07/11/24 Assignment: Section 16.1 Enhanced Assign 1. Determine the graph corresponding to the given vector equation. r(t) = (3t)i + (3 − 3t)j, 0 ≤ t ≤ 1 Choose the correct graph below. A. B. 3 3 C. 3 3 D. 3 3 3 3 2. Determine the graph corresponding to the given vector equation. r(t) = (4 cos t)i + (4 sin t)j, 0 ≤ t ≤ 2π Choose the correct graph that corresponds to the given vector equation. A. B. C. 4 D. 4 4 4 4 4 4 4 3. Choose the graph that matches the vector equation. r(t) = ti + tj + tk, 0 ≤ t ≤ 2 Choose the correct answer below. A. B. z z 2 2 (2, 2, − 2) Evaluate z z (2, 2, 2) y x 4. D. (2, 2, 2) 2 2 C. y 2 x 2 y x 2 2 y x ∫ (x + y)ds where C is thestraight-line segment x = 2t, y = (6 − 2t), z = 0 from (0,6,0) to (6,0,0). C ∫ (x + y)ds = 36 2 C (Type an exactanswer.) 5. ∫ Evaluate x ds, where C is C a. the straight line segment x = t, y = t 2 , from(0,0) to (4,2) 2 b. the parabolic curve x = t, y = 3t , from(0,0) to (1,3) ∫ a. For the straight linesegment, x ds = 4 5 . (Type an exactanswer.) C ∫ b. For the paraboliccurve, x ds = C 1 108 3 37 2 − 1 . (Type an exactanswer.)