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Mamont248 [21]
2 years ago
6

find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]

Mathematics
2 answers:
Liono4ka [1.6K]2 years ago
8 0

Answer:

View the graph for a visual

Step-by-step explanation:

damaskus [11]2 years ago
6 0

Answer:

Step-by-step explanation:

f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\

f'(x)=0, gives x=-2

we find f(x) at x=-3,-2,1

f(-3)=-3e^(-3/2)≈-0.67

f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74

f(1)=1 e^(1/2)=√e≈1.65

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Write the following as a root in radical form 2^-4/5
erastovalidia [21]

Answer:

Given that:

=2^(-4/5)

This means that 2 is the base and -4/5 is the exponent.

To change it in radical form:

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Function tables with two-step rules Fill in the table using this function rule.<br> help asap
NeTakaya

Answers:

Answer for row one:     1

Answer for row two:     11

Answer for row three:   16

Answer for row four:     36

=========================================

Work Shown:

Whatever the x value is, we multiply by 5 and subtract off 14 to get the corresponding y value. This is following the order of operations PEMDAS

------------

If x = 3, then

y = 5*x - 14

y = 5*3 - 14  ..... note how x is replaced with 3

y = 15 - 14

y = 1

This means that when x = 3, the y value is y = 1.

So 1 goes in the box in the first row.

---------------

Repeat for x = 5

y = 5*x - 14

y = 5*5 - 14

y = 25 - 14

y = 11

We have 11 as the second answer.

--------------

Repeat for x = 6

y = 5*x - 14

y = 5*6 - 14

y = 30 - 14

y = 16

The third answer is 16.

--------------

Repeat for x = 10

y = 5*x - 14

y = 5*10 - 14

y = 50 - 14

y = 36

The last answer is 36.

3 0
3 years ago
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