The area of the surface is 144.708
The equation of the given surface is,
z=g(x,y)=xy
Solving the partial derivatives,
∂g∂x=y,∂g∂y=x
Substituting to the formula
S=∬√1+( ∂g∂x)2+(∂g∂y)2dA
Thus,
S=∬√1+(y)2+(x)2dAS=∬√1+x2+y2dA
The region in the XY-plane is defined by the intervals 0≤θ≤2π,0≤r≤4
Converting the integral into polar coordinates,
S=∫2π0∫40√1+r2rdrdθ
Integrating with respect to r
S=∫2π0[13(1+r2)32]40dθ
S=∫2π0(17√173−13)dθ
Integrating with respect to θ
S=(17√173−13)[θ]2π0
S≈144.708
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Answer:
D
Step-by-step explanation:
Answer:
1. Reflection
2. Dilation
3. Rotation
Step-by-step explanation:
Hey!
You can tell number one is a reflection because it didn’t change side or turn upside down or anything, it just flipped over to the other side.
You can tell number two is a dilation because it changes size.
You can tell number three is rotation because it rotated.
Hope this helps! :D
If you have any further questions, comment down below!
Well we're just looking at oil paintings so let's say each shows 2 paintings...
30/2 = 15
so at most- 15 artists
5=3(-2) +b
5=(-6)+b
+6 +6
11=b
