1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brums [2.3K]
2 years ago
9

The rate at which the temperature is dropping is 6t 5t2 degrees Celsius per hour t hours after sundown. How much had the tempera

ture decreased between sundown and 3 hours after sundown
Mathematics
1 answer:
Whitepunk [10]2 years ago
5 0

Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>

The rate at which the temperature is dropping is 6t + 5t^2 degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:

\frac{dT}{dt} = 6t + 5t^2

Applying <em>separation of variables</em>, we find the solution as follows:

\frac{dT}{dt} = 6t + 5t^2

dT = (6t + 5t^2) dt

\int dT = \int (6t + 5t^2) dt

T(t) = \frac{5t^3}{3} + 3t^2 + T(0)

In which T(0) is the temperature at sundown.

In 3 hours, the change will be of:

C = T(3) - T(0) = \frac{5t^3}{3} + 3t^2|_{t = 3}

Hence:

\frac{5(3)^3}{3} + 3(3)^2 = 45 + 27 = 72

The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

You can learn more about differential equations at brainly.com/question/24348029

You might be interested in
What is the product? (-2a^2+a)(5a^2-6s)
ANEK [815]
The answer would be A
6 0
3 years ago
HELP NOW (+ brainlist)
schepotkina [342]

Answer:

2/6

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
12. The weight of 7 chocolate bars in grams are 131, 127,125,127,133,129 and 127
Amanda [17]

Answer:

The range is from 125 to 133.

Step-by-step explanation:

That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.

7 0
3 years ago
Every month Miss Thomas pays her car loan through automatic payments from her savings account. she pays the same car loan each m
ivann1987 [24]
Im pretty sure the answer is 244.25
8 0
3 years ago
Please help it is due today
nata0808 [166]

A

Step-by-step explanation:

because i did this and i pass this

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the exact volume of the cylinder?
    14·2 answers
  • Y is directly proportional to x when y=30, x=6
    14·1 answer
  • Is -7 bigger than - 8​
    9·1 answer
  • How do you solve 100-99+98-97+96-85+.........+4-3+2-1? and show the pattern for it
    7·1 answer
  • I need help with this question
    10·1 answer
  • What is an equation of the line that passes through the points (-6, 3) and (-5,2)
    11·1 answer
  • What is the gcf of 9 and 36​
    6·1 answer
  • Can someone help me out here please?
    14·1 answer
  • First convert these fractions to twelfths then order them.Write your
    7·1 answer
  • How to get 5% of 100?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!