Answer:... what is it?
Step-by-step explanation:
Answer:
Option (D).
Step-by-step explanation:
Initial population of the deer
= 4800
Decrease in the population of the deer after every 8 years = 
Decrease in population is an exponential process, so the expression representing population will be,

Where
is the population after 'x' slots of 8 years.
r = fraction of decrease in the population
x = 
By substituting the values of r and x in the expression,


Therefore, Sylvia should do few corrections in her expression.
(8) should be replaced by (
) and
should be replaced by
.
Option D. will be the 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
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