15. how do the personality traits of married couples compare to randomly coupled people ?
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The volume of the base of the region enclosed by the parabola is; V = 9
<h3>Integral Volume of a Solid</h3>The length of each cross-section is determined by the horizontal distance (parallel to the x-axis) from one end of the parabola to the other.
Thus;
y = 3 - 2x²
Making x the subject gives us;
x = ±√[(3 - y)/2]
Thus;
The horizontal distance is;
√[(3 - y)/2] - (-√[(3 - y)/2])
⇒ 2√[(3 - y)/2]
The area of each cross-section is simply the square of the section's side length, so the area would be;
A = (2√[(3 - y)/2])²
A = 6 - 2y
Thus, volume is;
V =
Solving this gives V = 9
Read more about integral volume of solids at; brainly.com/question/14845570
The function that shows how quickly the weeds grow each day is and the weed grows at a rate of approximately 3% daily
The standard form of an exponential function is given as y = ab^x
Given the exponential function that shows the rate at which the weed grew each day expressed as g(x) = 197(1. 25)^x
- x is the time in weeks
- Since<u> there are 7 days in a week,</u> the time will in the day will be expressed as 7x where x is in days.
Substitute x as 7x in the given exponential function to have:
If the growth rate was 25% each week, then;
0.25 = 7 days
x = 1 day
7x = 0.25
x = 0.25/7
x = 0.0357
Hence the weed grows at a rate of approximately 3% daily
Learn more on exponential function here: brainly.com/question/12940982