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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Yes, a rhombus is a rectangle if it has a similar shape of a square.Hope that helped
Maybe try using a converter
Answer:
y = x + 1
Step-by-step explanation:
y = mx + b
First, find the y-intercept. This is where the line intersects with the y-axis.
So, 1. -> y = mx + 1
Next, find the slope. For every 1/2 moving to the right, it also vertically increased by 1/2.
(1/2)/(1/2)
= 1 -> y = x + 1
Therefore, y = x + 1
the value of x is 36 degree
