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Sergeu [11.5K]
3 years ago
5

For what value of the number k is the following function differentiable at x=2

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Answer:

For f(x) to be differentiable at 2, k = 5.

Step-by-step explanation:

For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.

For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.

Now,

f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.

As h tends to 0, lim (5 – 2h) = 5

Also

f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h

As h tends to 0, lim (5 + 3h) = 5.

So, for f(2) to be continuous k = 5

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The total cost to attend the university Daniel wants to attend is going to be $12,000 for the first year.
Zielflug [23.3K]

Answer:

$395.83

Step-by-step explanation:

to solve, we first need to subtract what we already have, first the scholarship, wich is a set amount being taken from the original amount

12'000 - 2'500 = 9'500

now we have the second subtracting factor, but this one isn't set in stone and defined, it is half of the amount his parents will pay, so what we can do is divide what we have by two, wich will give us 2 halves

9'500 / 2 = 4'750

now all we have to do is divide again but this time for each month that Daniel needs to save up in, in this case 12

4'750 / 12 = 395.83 (note1)

and there we have it, that is the minimum amount Daniel would save each month

note1: (3 goes on for infinity, usualy this is represented by a line above the repeating number, this is the case of a repeating decimal)

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3 years ago
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sergejj [24]

Answer:

find where they intersect on the graph or find each line's individual equation and set them equivalent to eachother. x=2

8 0
2 years ago
..........................
AleksandrR [38]

Answer:

Give me a question to answer

3 0
3 years ago
joseph is shopping for school supplies he can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76. which is a better bu
Ugo [173]
I would say it’s better to buy the 36 box pens. 24\4.32=5.6 on the other hand the box of 36 is 36/5.76=6.25
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2 years ago
2x+4y=16 what is the slope intercept form
Eva8 [605]
Since slope intercept is y=mx+b, you first want to get rid of the 2x by subtracting it from both sides. after, you should end up with 4y=16-2x or 4y=-2x+16, they both are the same, but some teachers might prefer the slope first. after that, you want to get the y alone, so you divide everything by 4. you should end up with the slope intercept form being y=-2/4x+4, simplified to y=-1/2x+4.
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3 years ago
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