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cestrela7 [59]
4 years ago
9

Number 12 I’m not sure what to do

Mathematics
1 answer:
VMariaS [17]4 years ago
7 0

The curve in question is f(x) = e^x / x.  To find the slope of the tangent line to this curve, we differentiate, using the quotient rule:

           xe^x - e^x       e^x(x-1)

f '(x) = ----------------- = --------------  

              x^2                  x^2

at x=a=1, this slope is f '(1) = 0.

Find the value of the function at x = a =1:      f(1) = e

Thus, the tangent line has slope 0 and passes thru (1,e).  From this info we can readily surmise that the tangent line is horiz. and is given by y = e.

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Ierofanga [76]

Answer:

a_{11} =-1\\a_{12} =3\\a_{21} =5\\a_{22} =3/2\\

Step-by-step explanation:

2X-\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] =\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right]\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] +\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right])\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4+2&8-2\\2+8&-2+5\end{array}\right] )\\X=\frac{1}{2} (\left[\begin{array}{ccc}-2&6\\10&3\end{array}\right] )\\X= (\left[\begin{array}{ccc}\frac{1}{2}(-2)&\frac{1}{2}(6)\\\frac{1}{2}(10)&\frac{1}{2}(3)\end{array}\right] )\\

X= (\left[\begin{array}{ccc}-1&3\\5&3/2\end{array}\right] )

a_{11} =-1\\a_{12} =3\\a_{21} =5\\a_{22} =3/2\\

8 0
3 years ago
Find the mean of the following set of data. Round your answer to two decimal places.23, 50, 49, 48, 49, 32, 37, 40, 41, 42, 41,
tekilochka [14]
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4 0
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Which equation can be used to calculate the area of the shaded triangle in the figure below?
zzz [600]

Answer:

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Step-by-step explanation:

<u>Using rectangle area formula and considering half of it as shaded:</u>

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<u>Given</u>

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8 0
3 years ago
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Alex17521 [72]

Answer:6h+9

Step-by-step explanation:

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Open the brackets

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7 0
3 years ago
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Leviafan [203]

Answer:

9/20

Step-by-step explanation:

You have to multiply both numerators and both denomenators!

3/4 x 3/5 = 9/20

3 x 3 = 9

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therefore, your answer is 9/20!

Hope this helps, Have a nice day!

5 0
3 years ago
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