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:
40m^2 based on what you've given. provide more information if this answer is wrong
Answer:
X = 6
Step-by-step explanation:
2x + (-6x) = -24
2x - 6x = -24
-4x = -24
4x = 24
x = 6
Answer:56
Step-by-step explanation:do 180-68, then divide by 2(because the x angles are equal to each other.
Subtract 24 from both sides (-45t=-8) then divide both sides by -45 (t=0.177)
