Answer:
D is the correct answer.
Step-by-step explanation:
Distribute (−6x^4 + x^2 − 1)(2x^3 - 4x + 3)
-12x^7 + 24x^5 - 18x^4 + 2x^5 - 4x^3 + 3x^2 - 2x^3 + 4x - 3
Combine Like Terms
-12x^7 + 26x^5 - 18x^4 - 6x^3 + 3x^2 + 4x - 3
Answer:
a) dx/dt = kx*(M - h/k - x)
Step-by-step explanation:
Given:
- The harvest differential Equation is:
dx/dt = kx*(M-x)
Suppose that we modify our harvesting. That is we will only harvest an amount proportional to current population.In other words we harvest hx per unit of time for some h > 0
Find:
a) Construct the differential equation.
b) Show that if kM > h, then the equation is still logistic.
c) What happens when kM < h?
Solution:
- The logistic equation with harvesting that is proportional to population is:
dx/dt = kx*(M-x) hx
It can be simplified to:
dx/dt = kx*(M - h/k - x)
- If kM > h, then we can introduce M_n=M -h/k >0, so that:
dx/dt = kx*(M_n - x)
Hence, This equation is logistic because M_n >0
- If kM < h, then M_n <0. There are two critical points x= 0 and x = M_n < 0. Since, kx*(M_n - x) < 0 for all x<0 then the population will tend to zero for all initial conditions
If she can make 15 per hour that would mean that each hour she is making 15 cans.
She has 6 hours that means that she will make 90 products.
How To Do The Math: 15<span>×6=90
Since we are finding out how many pins she need and not haw many products we will have to check how many pins she will need per product.
She needs 3 pins per product.
Since she will be making 90 products all we have to do is multiply 90 by 3 which will equal 270.
How To Do The Math:90</span><span>×3=270
Your Answer will be 270 Pins.</span>
Model:actual
55 : 2
27.5 : 1(divide by 2)
8.25: 3.33(3s.f.) (divide by 8.25)
