Problem

The motion of a spring that is subject to a ficti…

02:36

Problem 82 Hard Difficulty

In Example 1.3.4 we arrived at a model for the length of daylight (in hours) in Philadelphia on the $ t $ th day of the year:
$ L(t) = 12 + 2.8 \sin [ \frac {2 \pi}{365}(t - 80] $
Use this model to compare how the number of hours of daylight is increasing in Philadelphia on March 21 and May 21.

Answer

$80 < t < 171.25$

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 4

The Chain Rule

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University

Joseph L.

Boston College

Watch More Solved Questions in Chapter 3

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Problem 94

Problem 95

Problem 96

Problem 97

Problem 98

Problem 99

Problem 100

Video Transcript

So here we take it ho. The number of hours of daylight is increasing. So? So how much is increasing? We can take the derivative, and this one should be two point eight times to pie over his three sixty five co sign to pie over three sixty five T minus eighty. They just have to ah, clubbing those t value. So So for march twenty first, t should be generally has just thirty one days. February, assuming it's not a special years is twenty eight days and made twenty one. You have thirty one clause twenty, eh? Post large and April there are thirty days. So you just pulling these two t value kes into the original equation and you can use culturally threatened simplify that.

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 4

The Chain Rule

Top Calculus 1 / AB Educators

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University

Joseph L.

Boston College