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Readme [11.4K]
3 years ago
13

Lim as x goes to 0: (2sinxcosx)/(2x^2+x)=

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0
\displaystyle\lim_{x\to0}\frac{2\sin x\cos x}{2x^2+x}=2\left(\lim_{x\to0}\frac{\sin x }x\right)\left(\lim_{x\to0}\frac{\cos x}{x+1}\right)=2(1)\left(\frac1{0+1}\right)=2
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The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from
makvit [3.9K]

Answer:

|T- 98.6| \geq 3

And in order to solve this we have two possibilities:

Solution 1

T -98.6 \leq -3

And solving for T we got:

T \leq 98.6- 3

T\leq 95.6

Solution 2

And the other options would be:

T -98.6 \geq 3

T \geq 101.6

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

|T- 98.6| \geq 3

And in order to solve this we have two possibilities:

Solution 1

T -98.6 \leq -3

And solving for T we got:

T \leq 98.6- 3

T\leq 95.6

Solution 2

And the other options would be:

T -98.6 \geq 3

T \geq 101.6

6 0
3 years ago
The gradient of the line y= -2x -3​
N76 [4]

Answer:

-2

Step-by-step explanation:

The equation of the line is written in y=mx+c form, where m is the gradient and c is the y-intercept.

In this case, your m is a -2 and your c is a -3.

Hence the gradient of the line is -2.

5 0
3 years ago
3.19x10^8 /8.23x10^5<br><br> Please show work
suter [353]

Answer:

257 is the answer

Step-by-step explanation:

If you take and divide 8.23 and 3.19 u come out with a big number but the first three are all that matter. then you need to subtract 8-5 and u get 2.579937 but since your exponent is only 10^3 you get 257.9937, but you can get rid of the numbers after 257.

8 0
2 years ago
Is 0/3 undefined or equal to 0
ira [324]
It is equal to 0. :)
5 0
3 years ago
Read 2 more answers
Please help me anyone please
Alja [10]

Answer:

74

Step-by-step explanation:

12 x 8 = 96

96 - 75% = 24

96 - 24 = 72

72 square inches will have grey paint

Oof, I made a mistake on my previous answer. My tablet is acting weird

7 0
3 years ago
Read 2 more answers
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