Answer: 120362
Step-by-step explanation:
The exponential function for finding population is given as :
A = P
Where :
A = Total amount of growth after some given time
P = Original population
r = growth rate
t = total years
From the question , we will notice that there is a decrease in the population , then the formula to be used will be
A = P )
A = ?
P = 14000
r = 1.5% = 0.015
t = 10
substituting each given values into the formula , we have
A = 1400 ()
A = 14000 ( )
A = 14000 X 0.859730442
A = 120362.2619
Therefore : The population after 10 years is ≈ 120362
Answer:
See below.
Step-by-step explanation:
1)
So we have:
This can be interpreted as:
"There exists a natural number <em>x</em> and an integer <em>y</em> such that x² is equal to y²."
2)
So we want even numbers are in the set of integers.
This is interpreted as:
"The set of even numbers (2n such that n is an integer) is in the set of integers"
Answer:
second one
Step-by-step explanation:
y needed to be itself
Split up the integration interval into 4 subintervals:
The left and right endpoints of the -th subinterval, respectively, are
for , and the respective midpoints are
We approximate the (signed) area under the curve over each subinterval by
so that
We approximate the area for each subinterval by
so that
We first interpolate the integrand over each subinterval by a quadratic polynomial , where
so that
It so happens that the integral of reduces nicely to the form you're probably more familiar with,
Then the integral is approximately
Compare these to the actual value of the integral, 3. I've included plots of the approximations below.