What is the radius of a sphere with a volume of 623.3cm? Round to the nearest tenth ?
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The population is increasing every year. so we use exponential growth function
Where 'a' is the initial population
r is the rate of increase
x is the years
y is the final population
In 2015, the population of a small town in Florida is 95
Initial population a= 95
r= 15%= 0.15
x = 2023 - 2015 = 8 years
Plug in all the values and find out y
y = 290.607
The population in 2023 is 291
The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
<h3>What is integration?</h3>It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)
x(t) = (1-t)0 + t×2 = 2t
y(t) = (1-t)0 + t×3 = 3t
z(t) = (1-t)0 + t×4 = 4t
Finding its derivative;
x'(t) = 2
y'(t) = 3
z'(t) = 4
The line integral is given by:
After solving the integration over the limit 0 to 1, we will get;
or
= 73037.99 ≈ 73038
Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
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