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:

Answer: (fºg)(x) = 28x + 2
(Step-by-step explanation:
A number (we will call X) times 8 Is 8x
Answer: 9 lb of fresh tomatoes
6 c peeled chopped cucumbers
3 c chopped red bell peppers
3 c chopped red onions
6 small jalapenos
6 garlic cloves
1 1/2 olive oil
6 limes, juiced
12 tsp balsamic vinegar
12 tsp Worcestershire sauce
3 tsp cumin
6 tsp salt
1 1/2 tsp black pepper
12 tsp basil
I really hope this helps.
Step-by-step explanation:
Answer:
18 cm
Step-by-step explanation:
The ratio of Actual length (L) to scale length is 27 : 3.6
27 ÷ 3.6 = 7.5
Therefore, actual width (W) = scale width x 7.5
= 2.4 x 7.5
= 18 cm