Ln(xy) - 2x =0
slope of the tangent line = derivative of the function
[ln(xy)]' = [2x]'
[1/(xy)] [y + xy'] = 2
y + xy' = 2(xy)
xy' = 2xy - y =y(2x-1)
y' = y(2x-1)/x
Now use x = -1 to find y and after to find y'
ln(xy) = 2x
x=-1
ln(-y) =-2
-y = e^-2
y = - e^-2
y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2
Answer: option 6. from the list
Answer:

Step-by-step explanation:
<em>Nothing can be done with the equation because there is no quotient. </em>
If there was, would be able to solve for x.
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
By definition, the area of a rectangle is:

Where,
w: width of the rectangle
l: length of the rectangle
The total area is given by:

Where,
A1: rectangular wooden board 1
A2: rectangular wooden board 2
Substituting we have:

Rewriting we have:




Answer:
The width is given by:

Very good question, well the answer you might be looking for is
Revenue: 28,500 $
Profit: 13,500
From what I calculated
Have a blessed day and God bless.