WTW164 - Mathematics 164 - QUIZ

WTW164 · Mathematics 164

University of Pretoria

Practice 10 questions on WTW164 - Mathematics 164 at University of Pretoria. Free AI-generated quiz on uNotes — track your score, retake anytime.

Questions

1Based on the course material, which of the following Cartesian coordinates represent the polar point (2, π/3)?

2A curve is represented by the polar equation r = 2 cos θ. Which of the following statements about this curve are correct?

3Regarding the symmetries of polar graphs r = f(θ), which conditions imply the specific symmetry mentioned?

4When converting a double integral from Cartesian coordinates to polar coordinates, which of the following components must be included?

5Consider the cardioid r = 1 + sin θ. Which of the following correctly describe the behavior of 'r' as θ increases?

6What is the slope of the tangent line to the polar curve r = e^θ at θ = π/2?

7For the region D described as the left half of a disk with center at the origin and radius 1, which polar boundaries are correct?

8The volume of the solid bounded by the plane z = 0 and the paraboloid z = 1 - x² - y² is calculated as:

9Which trigonometric identities are frequently used in evaluating double integrals in polar coordinates as per the text?

10The curve r = 6 sin θ corresponds to which Cartesian circle?