Answer:
y' = (2x + y cosxy)/(2y + x cosxy)
Step-by-step explanation:
Using implicit differentiation:
y^2 = x^2 + sin xy
2y y' = 2x + cos xy * (xy' + y)
2y y' = 2x + xy' cos xy + y cos xy
2y y' - xy' cosxy = 2x + ycos xy
y' = (2x + y cosxy)/(2y - x cosxy)
Step-by-step explanation:
By Descrates' Rule of Signs,
x² + 99x + 127 changes sign 0 times.
Hence it has 0 positive roots.
Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.
Hence both the roots are negative. (B)
The answer for this question I don’t think could be answered by anyone but yourself. To help you figure this out, just simply think about all of the math courses you’ve had previous to your current course and think about which course you did best in.
<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u>
![y + 3 = \frac{2}{3}(x -5)](https://tex.z-dn.net/?f=y%20%2B%203%20%3D%20%5Cfrac%7B2%7D%7B3%7D%28x%20-5%29)
<u><em /></u></h3>
<em><u>Solution:</u></em>
<em><u>The equation of line in point slope form is given as:</u></em>
![y - y_1 = m(x-x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x-x_1%29)
Where, "m" is the slope of line
Given that,
slope = 2/3
![m = \frac{2}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
The line passes through (5, -3)
Substitute m = 2/3 and
= (5, -3) in point slope form
![y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)](https://tex.z-dn.net/?f=y%20-%20%28-3%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D%28x%20-5%29%5C%5C%5C%5Cy%20%2B%203%20%3D%20%5Cfrac%7B2%7D%7B3%7D%28x%20-5%29)
Thus equation of line in point slope form is found
My room is made up of four walls, both the floor and the ceiling are rectangular in shape.
- There are four walls in my room.
- The shape of the floor is a rectangle and given that the ceiling is the same form above the floor, it is also shaped as a rectangle.
To get the area of a rectangle, you use this formula since my floor and ceiling are rectangle.
Area = L * W
where
L = length
W= width
But if you have a square floor and ceiling, the area of a square is
Area = s²
given that it is side * side.
<em>In conclusion, there are </em><em>4 walls</em><em> in every room. The shape of the ceiling or floor could be a </em><em>rectangle or a square</em><em>. It depends on your room and its measurements. To get the area, </em><em>multiply </em><em>the length by the width.</em>
<em>read more at brainly.com/question/24359958?referrer=searchResults</em>