For Exercises 15-22, determine whether the tests for symmetry in Table 7-2 detect symmetry with respect to a. The polar axis. Replace r , θ by r , − θ b. The line θ = π 2 . Replace r , θ by r , π − θ c. The pole. Replace r , θ by − r , θ Otherwise, indicate that the test is inconclusive. r 2 = 9 sin 2 θ
For Exercises 15-22, determine whether the tests for symmetry in Table 7-2 detect symmetry with respect to a. The polar axis. Replace r , θ by r , − θ b. The line θ = π 2 . Replace r , θ by r , π − θ c. The pole. Replace r , θ by − r , θ Otherwise, indicate that the test is inconclusive. r 2 = 9 sin 2 θ
Mid-Term Review
Find the formula for (f + g)(x).
f(x) = x² - 10x + 25 and g(x) = x² - 10x + 24
(f + g) (x) = [ 2 ]x²
X +
DELL
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S
Calculus III
May I please have some elaborations on Example 2 part a? Thank you.
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Polar Coordinates Basic Introduction, Conversion to Rectangular, How to Plot Points, Negative R Valu; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=aSdaT62ndYE;License: Standard YouTube License, CC-BY