Daylight function for 40° N Verify that the function D ( t ) = 2.8 sin ( 2 π 365 ( t − 81 ) ) + 12 has the following properties, where t is measured in days and D is the number of hours between sunrise and sunset. a. It has a period of 365 days. b. Its maximum and minimum values are 14.8 and 9.2, respectively, which occur approximately at t = 172 and t = 355, respectively (corresponding to the solstices). c. D (81) = 12 and D (264) ≈ 12 (corresponding to the equinoxes).
Daylight function for 40° N Verify that the function D ( t ) = 2.8 sin ( 2 π 365 ( t − 81 ) ) + 12 has the following properties, where t is measured in days and D is the number of hours between sunrise and sunset. a. It has a period of 365 days. b. Its maximum and minimum values are 14.8 and 9.2, respectively, which occur approximately at t = 172 and t = 355, respectively (corresponding to the solstices). c. D (81) = 12 and D (264) ≈ 12 (corresponding to the equinoxes).
Daylight function for 40° N Verify that the function
D
(
t
)
=
2.8
sin
(
2
π
365
(
t
−
81
)
)
+
12
has the following properties, where t is measured in days and D is the number of hours between sunrise and sunset.
a. It has a period of 365 days.
b. Its maximum and minimum values are 14.8 and 9.2, respectively, which occur approximately at t = 172 and t = 355, respectively (corresponding to the solstices).
c.D(81) = 12 and D(264) ≈ 12 (corresponding to the equinoxes).
Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below.
Let g(x) = √ƒƒ(t) dt .
0
3
2
-2
2
4
5
6
7
8
9
10
11
12
13
14
15
1. g(0) =
2. g(2) =
3. g(4) =
4. g(6) =
5. g'(3) =
6. g'(13)=
The expression 3 | (3+1/+1)
of the following integrals?
A
Ов
E
+
+
+ +
18
3+1+1
3++1
3++1
(A) √2×14 dx
x+1
(C) 1½-½√ √ ² ( 14 ) d x
(B) √31dx
(D) So 3+x
-dx
is a Riemann sum approximation of which
5
(E) 1½√√3dx
2x+1
2. Suppose the population of Wakanda t years after 2000 is given by the equation
f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000
people? Show all your work, round your answer to two decimal places, and include units. (4
points)
Chapter 1 Solutions
Student Solutions Manual, Single Variable for Calculus: Early Transcendentals
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.