Answer:
Exactly one solution
Step-by-step explanation:
It would take 70 years for the deer population to reach 800.
An exponential function is in the form:
y = abˣ
where b is the multiplier, y, x are variables and a is the initial value.
Let y represent the population and x represent the time in years.
a = 200, b = 100% + 2% = 102% = 1.02
y = 200(1.02)ˣ
For a population of 800:
800 = 200(1.02)ˣ
ln(4) = xln(1.02)
x = 70 years
It would take 70 years for the deer population to reach 800.
Find out more on exponential function at: brainly.com/question/2456547
Answer:
since its 10%percent annualy(compound interest),at the end of 1year it would be 1000+(1/10 *1000)that is 1100,then for the second year it would be 1100+(1/10 * 1100)that is 1210.please mark me as brainliest
The critical points of <em>h(x,y)</em> occur wherever its partial derivatives
and
vanish simultaneously. We have

Substitute <em>y</em> in the second equation and solve for <em>x</em>, then for <em>y</em> :

This is to say there are two critical points,

To classify these critical points, we carry out the second partial derivative test. <em>h(x,y)</em> has Hessian

whose determinant is
. Now,
• if the Hessian determinant is negative at a given critical point, then you have a saddle point
• if both the determinant and
are positive at the point, then it's a local minimum
• if the determinant is positive and
is negative, then it's a local maximum
• otherwise the test fails
We have

while

So, we end up with
