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:
Event D
Step-by-step explanation:
Complementary events are those events that are opposites of each other. i.e. in this case the complementary event for choosing a green marble is not choosing a green. It has nothing to do with choosing or not choosing marbles of colors other than green.
<h3><u>The value of x is greater than or equal to -4.</u></h3>
(3x + 17) ≥ 5
Subtract 17 from both sides.
3x ≥ -12
Divide both sides by 3.
x ≥ -4
Answer:
21110
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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