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LekaFEV [45]
3 years ago
9

Decide whether Rolle's theorem can be applied to f(x) = x2 + 5 on the interval [0, 3]. If Rolle's theorem can be applied, find a

ll value(s) of c in the interval such that f '(c) = 0.
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

Answer:

Step-by-step explanation:

it is continuous in [0,3]

f'(x)=2x which exists in (0,3)

f(0)=0²+5=5

f(3)=3²+5=14

f(0)≠f(3)

so Rolle's theorem can't be applied.

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Can someone help me with this please??? (;
Otrada [13]

Answer:

(2,6)

Step-by-step explanation:

substitute the given value of x into the equation

-4 (-4 + y ) +2 = -y

solve for y

y=6

substitute the value of y into x= -4 + y

x= -4 + 6=2

x=2

y=6

(2,6)

7 0
3 years ago
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When Jonas does his math homework, he spends an average of 4 minutes on each problem. Last night he spent 1.8 hours on his non-m
Natali [406]

Answer:

2.6 hours.

Step-by-step explanation:

That would be 1.8 hours plus 4 * 12 = 48 minutes.

48 minutes = 48/60 = 0.8 hours.

Total is 1.8 + 0.8 = 2.6 hours.

6 0
3 years ago
A hotel calculates that 16% of its customers will come back to stay again. Out of 850 people the hotel predicts 102 will come ba
Aloiza [94]
Calculate 16% of 850.

The way I do this is by breaking it up into smaller pieces.

First I would find 10% of 850. To do this I need to divide 850 by 10, as 100%/10 gives us 10%, which is what we need.

So 10% = 85

Then we need 5%, which is half of 10%, therefore half of 85,

So 5% = 42.5

Then we need 1% which is 10%/10, so 85/10.

So 1% = 8.5

Then we add all these together to get 16%.

So 16% = 136

They predict that 102 people will come back, which is less than the 16% that should come back to stay again, so their prediction is too low.
4 0
4 years ago
Find the remainder when f(x) = 2x3 – 12x2 + 11x + 2 is divided by x – 5.
Oksana_A [137]

When dividing polynomial f(x) by linear polynomial x-a, the remainder is equal to f(a).

In your case a=5. Find f(a)=f(5):

f(5) = 2\cdot 5^3 - 12\cdot 5^2 + 11\cdot 5 + 2=2\cdot 125-12\cdot 25+55+2=250-300+55+2=7.

Answer: correct choice is C.

3 0
3 years ago
Read 2 more answers
I need somebody’s help
lisabon 2012 [21]

Answer:

x= 40

so

3x-5= 115

2x-15= 65

Step-by-step explanation:

C is the correct answer. I see that you put a mark on that choice so you are right if you thought that. I hope this helps!

6 0
3 years ago
Read 2 more answers
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