A) is 2x
b) is
c) is -2x
I think these are correct.
![log_{10}1000^{x] = log_{10}10^{2x}=2x](https://tex.z-dn.net/?f=log_%7B10%7D1000%5E%7Bx%5D%20%3D%20log_%7B10%7D10%5E%7B2x%7D%3D2x)
I did similar things to get other answers
b) is
c) is -2x
I think these are correct.
I did similar things to get other answers
Which one is more percise 5kg or 5212g?
1 answer:
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Answer:
16.5 square units
Step-by-step explanation:
You are expected to integrate the function between x=1 and x=4:
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<em>Additional comment</em>
If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.
The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.
This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...
area = 4.5 +3×4 = 16.5 . . . square units
