The total number of cars produced by TESLA each year is y = 200000(1.25)x , where x represents the number of years after 2020. h
2 answers:
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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:
- A = 10.
<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:
A=384
Step-by-step explanation:
A =2(wl+hl+hw)
A=2(8*8+8*8+8*8)
A=2(64+64+64)
A=2(192)
A=384
Answer:
The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)
<u>Solution:</u>
Given, equation is
We have to find the vertex of the given equation.
When we observe the equation, it is a parabolic equation,
We know that, general form of a parabolic equation is
Where, h and k are x, y co ordinates of the vertex of the parabola.
By comparing the above equation with general form of the parabola, we can conclude that,
a = -6, h = 1 and k = 9
Hence, the vertex of the parabola is (1, 9).