Answer:
- <u>Question 1:</u>
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- <u>Question 2:</u>
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- <u>Question 3:</u>
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- <u>Question 4:</u>
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Explanation:
<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>
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a) By definition: 
b) Given: 
c) By substitution: 
<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>
a) <u>Separate variables</u>

b)<u> Integrate</u>


c) <u>Antilogarithm</u>



<u>Question 3. Which particular solution matches the additional information?</u>
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Use the measured rate of 4 grams per hour after 3 hours

First, find the mass at t = 3 hours

Now substitute in the general solution of the differential equation, to find A:

Round A to 1 significant figure:
<u>Particular solution:</u>

<u>Question 4. What was the mass of the bacteria at time =0?</u>
Substitute t = 0 in the equation of the particular solution:

Sagot:
100 cm
Hakbang-hakbang na paliwanag:
Kung ganoon :
Distansya na sakop ng Ruben = 900 centimetri
Distansya na sakop ng Jamie = 10 metro
Pagko-convert sa centimeter:
100 cm = 1 m
x cm = 10 m
Paggamit ng multiplikasyon ng krus:
x = 100 * 10
x = 1000 cm.
Dahil dito Distansya ni Jamie = 1000 cm
Distansya sa pagitan ng Jamie at Ruben;
1000 cm - 900 cm = 100 cm
Simple :)
Area of shaded part = are of 1/4 circle - area of both triangles.
Are of circle = pie r^2 so 100x3.14 = 314 cm2.
Area of triangle AOB= area of triangleDOE = bh/2= 5x10/2= 25 each
However, the traingles share a common area which is quad DOB(I)
Lets take traingle AOE, whose are is bh/2=10x10/2=50cm2.
50-area of triangle A(I)E= 50-(
1. 56 : 35 = 1.6
2. 1.6* 100 = 160
3. The answer is 160
Answer:
x > 16
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask