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:
C ) She needs to save AT LEAST 20 months
Step-by-step explanation:
Half of her income each month is $250
m= months
250m ≥ 5000
m≥ 20
Answer:
Step-by-step explanation:
No. Each side must be less than the sum of the remaining two sides.
10 ≮ 5+1
Answer: 0.0136
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
The formula to calculate the z-score :-
For x = 24
The p-value = 
Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136
