Answer:
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given
sin xy = x² + 2xy ...(i)
Apply
![\frac{d}{dx} UV = U^{l} V + U V^{l}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20UV%20%3D%20U%5E%7Bl%7D%20V%20%2B%20U%20V%5E%7Bl%7D)
![\frac{d}{dx} x^{n} = nx^{n-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20x%5E%7Bn%7D%20%3D%20nx%5E%7Bn-1%7D)
Differentiating equation (i) with respective to 'x', we get
![cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))](https://tex.z-dn.net/?f=cosxy%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28xy%29%20%3D%202x%20%2B%202%28%20x%5Cfrac%7Bdy%7D%7Bdx%7D%20%2B%20y%281%29%29)
![cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))](https://tex.z-dn.net/?f=cosxy%20%20%28x%5Cfrac%7Bdy%7D%7Bdx%7D%20%2By%281%29%29%20%3D%202x%20%2B%202%28%20x%5Cfrac%7Bdy%7D%7Bdx%7D%20%2B%20y%281%29%29)
![cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)](https://tex.z-dn.net/?f=cosxy%20%20%28x%5Cfrac%7Bdy%7D%7Bdx%7D%29%20%2B%20ycosxy%20%3D%202x%20%2B%202%28%20x%5Cfrac%7Bdy%7D%7Bdx%7D%29%20%2B2%20y%29)
![cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy](https://tex.z-dn.net/?f=cosxy%20%20%28x%5Cfrac%7Bdy%7D%7Bdx%7D%29%20-%202%28%20x%5Cfrac%7Bdy%7D%7Bdx%7D%29%20%3D%202x%20%2B2%20y-%20ycosxy)
![(cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy](https://tex.z-dn.net/?f=%28cosxy-2%29%20%20%28x%5Cfrac%7Bdy%7D%7Bdx%7D%29%20%20%3D%202x%20%2B2%20y-%20ycosxy)
X= -b / (2a)
Then once you find x plug it in to find y
Answer:
1.5
Step-by-step explanation:
4 bags of sugar=6 kg so
1 bags= x
cross multiply
4x=6
x=6/4
x=3/2=1.5
<h3>
Answer: A and B (first answer choice)</h3>
Explanation:
Both figures shown in A and B are triangular pyramids. The base is a triangle, and the lateral sides are also triangles. Another example would be rectangular pyramids where the base is a rectangle, and the lateral sides are triangles.
Choice C is ruled out because cones aren't considered pyramids.
Choice D is a combination of a rectangular prism, and a rectangular pyramid stacked on top, so it's not purely a pyramid only. We can rule out choice D.
Answer:
c-24
a-156
Step-by-step explanation:
a=180-24( angles on s straight line)=156
c= 24 opposite angles