1. 12 is your answer
2. -33 is your answer
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
For more information about areas, visit
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Answer:
Step-by-step explanation:
(6x+1)4 = 124
6x+1 = 31
x = 5
Answer:
3,535 cm
Step-by-step explanation:
55cm=88km
Let's make that "one unit" - 55cm=1 unit. How many units are in the distance 5656km?
5656km/88km=64.2727... units.
55cmx64.2727... = 3,534.999 cm (depending on what your teacher requires, we can probably round to 3,535).
Therefore, we know that the two cities are 3,535 cm apart on the map.
2x=y
two times the number of minutes = the amount of pages
