Temperatures on Mars The air temperature one chilly spring morning at your time share condominium at the base of Olympus Mons, t hours after 6:00 am, was given by the function f ( t ) = − 5 t 2 + 50 − 80 degreesFahrenheit ( 0 ≤ t ≤ 4 ) . 58 What was the temperature at 7:00 am, and how fast was it rising? (Use the method of Example 1(a)
Temperatures on Mars The air temperature one chilly spring morning at your time share condominium at the base of Olympus Mons, t hours after 6:00 am, was given by the function f ( t ) = − 5 t 2 + 50 − 80 degreesFahrenheit ( 0 ≤ t ≤ 4 ) . 58 What was the temperature at 7:00 am, and how fast was it rising? (Use the method of Example 1(a)
Solution Summary: The author calculates the temperature at 7:00 am and the rate of rise at the base of Olympus Mons.
Temperatures on Mars The air temperature one chilly spring morning at your time share condominium at the base of Olympus Mons, t hours after 6:00 am, was given by the function
f
(
t
)
=
−
5
t
2
+
50
−
80
degreesFahrenheit
(
0
≤
t
≤
4
)
.58 What was the temperature at 7:00 am, and how fast was it rising? (Use the method of Example 1(a)
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
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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