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:
(a) 100 fishes
(b) t = 10: 483 fishes
t = 20: 999 fishes
t = 30: 1168 fishes
(c)

Step-by-step explanation:
Given


Solving (a): Fishes at t = 0
This gives:






Solving (a): Fishes at t = 10, 20, 30






Solving (c): 
In (b) above.
Notice that as t increases from 10 to 20 to 30, the values of
decreases
This implies that:

So:
The value of P(t) for large values is:




Yoink:
hey imma yoink your points and not answer the question ok?
Jk:
jk, number 1 is b
number 2 is a
number 3 is d
and number 4 is c
Slope is 1/2. The equation to solve it is y2-y1 / x2-x1. I hope you understand it now :)
Answer:
-16y+2yx
Step-by-step explanation: