A logarithmic spiral is represented by r = a e b θ . a. Graph r = 0.5 e 0.1 θ and r = 0.5 e − 0.1 θ over the interval 0 ≤ θ ≤ 4 π . b. What appears to be the difference between the graphs for b = 0.1 and b = − 0.1 ?
A logarithmic spiral is represented by r = a e b θ . a. Graph r = 0.5 e 0.1 θ and r = 0.5 e − 0.1 θ over the interval 0 ≤ θ ≤ 4 π . b. What appears to be the difference between the graphs for b = 0.1 and b = − 0.1 ?
Solution Summary: The author explains how to graph the logarithmic spiral r=0.5e0.1theta over the interval.
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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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
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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