Hakeem puts $59 from each paycheck into his saving account. He gets paid every two weeks or 26 times per year. His goal is to sa
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We will use seperation of variables
tmes both sies by 1/(y^2)
times both sides by dx
we get
1/(y^2)dy=1/(x^3)dx
integrate both sides
-1/y=1/(2x^2)+c
initial condition, (1,1)
-1/1=1/(2(1^2))+c
-1=1/2+c
-3/2=c
-1/y=1/(2x^2)-3/2
solve for y
-1=y(1/(2x^2)-3/2)
y=-1/(1/2x^2-3/2)
tmes both sies by 1/(y^2)
times both sides by dx
we get
1/(y^2)dy=1/(x^3)dx
integrate both sides
-1/y=1/(2x^2)+c
initial condition, (1,1)
-1/1=1/(2(1^2))+c
-1=1/2+c
-3/2=c
-1/y=1/(2x^2)-3/2
solve for y
-1=y(1/(2x^2)-3/2)
y=-1/(1/2x^2-3/2)
Answer: The radius is 12.54 feet, and the diameter is 25.08 feet.
Explanation: By applying the circumference into the equation r = , we get r =
which simplifies the radius. And since radius is half of diameter, we multiply by 2 to get the diameter as well to solve the other blank in the problem.
Hope this helps! :D