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MrMuchimi
3 years ago
7

Please help! Need answered! Please and thank you.

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Answer:

1.  lim x→0  7e^x  =7

2.  lim f(x) does not exist

f(3) = 5

3.  1/12

Step-by-step explanation:

f(x) = 7e^x

lim x→0  7e^x  =7

AS we can see from the graph  it is around 7

We know that e^0 =1  so 7*1 =7


2.  The limit does not exists, because approaching the limit from the left f(3-) is 3.  Approaching the limit from the right f(3+) is 5.  f(3) = 5  since there is a closed circle at 3 with a value of 5.


3.  f(x) = x^ 1/2

We take the derivative

f'(x) = 1/2 x^ (-1/2)

    = 1/2 1/( x^.5)

To find it at x=36

     =  1/2 * 1/( 36^.5)

    = 1/2 * 1/6

   = 1/12

Since they are not equal, the limit does not exist.

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Answer:

m = 5

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Solve using elimination -x+4y=-19 -3x+3y=6
Liula [17]

Answer:x = -9, y = -7

Step-by-step explanation:

Equation 1)  -x + 4y = -19

Equation 2)  -3x + 3y = 6

Multiply ALL of equation 1 by 3 so that both equations include -3x in it.

1)  3(-x + 4y = -19)

Simplify.-3x + 12y = -57  → equation 3

Now, subtract equation 3 from equation 2.

-3x + 12y = -57    

(-)-3x + 3y = 6

Simplify.

9y = -63

Divide both sides by 9.

9y ÷ 9 = -63 ÷ 9

Simplify.

y = -7

Now that we have the value for y, simply plug in -7 for y into equation 1.

1)  -x + 4y = -19-x + 4(-7) = -19

Simplify.-x - 28 = -19

Add 28 to both sides of the equal sign.

-x - 28 + 28 = -19 + 28

Simplify.-x = 9

Divide both sides by -1.x = -9

Now we know that : x = -9, y = -7

To check our work, simply plug in -9 for x and -7 for y into equation 1.

1)  -x + 4y = -19-(-9) + 4(-7) = -19

Simplify.

9 - 28 = -19-19 = -19

Therefore, x = -9, y = -7

Hope this helped! :)

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3 years ago
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