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: None
Step-by-step explanation: They are parallel and would never intersect
Answer:
The perimeter of a rectangular playground is 46 m. ... 46 – 14 = 32 32 / 2 = 16 ... new carpeting for her family room. Her family room is a 12 ft by 21 ft rectangle. ... Charles has a rectangular flower garden that is 5 yd long and 12 yd wide. ... After installing the carpet, Betty decides to also install floor wood molding for her living.
(i just added names for explanation)
9514 1404 393
Answer:
Birr 1341.67
Step-by-step explanation:
The tax is 15% of the price (p), so we have ...
0.15p = 175
p = 175/0.15 = 1166.67
When the tax is added, the total comes to ...
1166.67 +175 = 1341.67
The man actually paid Birr 1341.67.
If 21 Ib on moon=126 IB on earth
25 Ib on moon=?
25/21*126=150
Therefore the astronaut will weigh 150Ib on earth
