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SVETLANKA909090 [29]
3 years ago
15

Evaluate lim x → 0+ x ln(x3). solution the given limit is indeterminate because, as x → 0+, the first factor (x) approaches 0 co

rrect: your answer is correct. while the second factor ln(x3) approaches −∞. writing x = 1/(1/x), we have 1/x → ∞ as x → 0+, so l'hospital's rule gives lim x → 0+ x ln(x3) = lim x → 0+ ln(x3) 1/x = lim x → 0+ 3/x −1/x2 = lim x → 0+ incorrect: your answer is incorrect. = .
Mathematics
1 answer:
Degger [83]3 years ago
6 0

\displaystyle\lim_{x\to0^+}x\ln x^3=\lim_{x\to\infty}\frac{\ln\frac1{x^3}}x=-3\lim_{x\to\infty}\frac{\ln x}x=\frac\infty\infty

L'Hopital's rule tells us the limit is equal to

-3\displaystyle\lim_{x\to\infty}\frac{\frac1x}1=0

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The distance from Palo Alto, CA and Columbus, OH is 2,470 miles. Due to the winds it takes 4 hours and 20 minutes to fly to Ohio
frutty [35]

Answer: 494 mph

Step-by-step explanation:

S=d/t

4 0
2 years ago
The volume of a right cylinder is V = πr2h. If we have an oblique cylinder, like in the figure, what is the volume of a cross-se
olchik [2.2K]
Since you did not attach any picture we cannot say for sure what is the correct answer, but we can discuss the options in order to find the most probable correct answer.

First of all, according to the Cavalieri's principle, an oblique cylinder has the same volume as a right cylinder with the same base surface area and same height.
A cross-section of an oblique cylinder will be a small right cylinder with the same base surface area and a height as small as possible.

I guess the oblique cylinder has height h and it is divided into many (probably 10) cross-sections.

Option A: <span>πr2h
This is exactly the volume of the right cylinder, therefore, unless you are given a cross-section of height h (which would be too easy), this won't be the correct answer.

Option B: </span><span>4πr2h
This is 4 times the right cylinder. Again, here the height of the cross-section should</span> be 4h, but it doesn't sound like a possible data (too easy again).

Option C: <span>1 10 πr2h
Here comes a n issue with the notation: I think the right number you meant to write is (1/10)</span>·πr2h and not 110·<span>πr2h.
If I am right, this means that your oblique cylinder of height h is divided into 10 cross-sections, and therefore the volume of each of these cross-sections will be a tenth of the volume of the oblique cylinder, which means </span>1/10·<span>πr2h.

Option D: </span><span>1 2 πr2h
Here, we have the same notation issue as before. I think you meant (1/2)</span>·<span>πr2h.
Here, your oblique cylinder height h should be divided into only 2 cross-sections. Now, we said the cross-section's height should be the smallest as possible, so an oblique cylinder divided only into two pieces doesn't sound good.

Therefore, the most probable correct answer will be C) </span>(1/10)·<span>πr2h</span>
8 0
3 years ago
Read 2 more answers
. Which graph has f(x) = 1xI as its parent function?
Blababa [14]

Answer: Im not sure

Step-by-step explanation:

you didnt list/provide the graphs for me to answer. :I

6 0
1 year ago
How to solve the equation (5-7 (8+4)×2)
xxMikexx [17]

The correct answer is -163

Explanation:

First you calculate within the parentheses; (8+4)= 12: 5-7*12*2

Next you multiply and divide; 7*12 is 84*2 is 168

Then you add and subtract; 5-168 is -163

Hope This Helps!!!

5 0
3 years ago
Find the slope of the line that passes through (0, -5) and (3, -4)
Scorpion4ik [409]

Answer: I believe it is 2

slope=y2-y1/x2-x1

y2-y1= (0,-3)

x2-x1= (4,5)

m=5-(-3)/4-0

m=2

4 0
2 years ago
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