Answer:
as shown in the attached file.
Step-by-step explanation:
The detailed, step by step explanation and application of integral with appropriate substitution to get the expression for the time of extinction is as shown in the attachment.
Hi!
This question is worded a little funny, but i think in understand what it's asking. Forgive me if i'm wrong.
Place values in math are pretty self-explanatory. It's just asking you what place each number is in.
For example:
If you were to write the number 12, the 1 would be in the tens place and the 2 would be in the ones place.
When speaking about decimals, you pretty much just have to add the letters 'th' to the end of the place value, but instead of decreasing as the numbers grow smaller, you increase and the ones place doesn't exist.
So in this case:
With 249.637, 2 is in the hundreds place. 4 is in the tens place. 9 is in the ones place. 6 is in the tenths place. 7 is in the hundreths place. 3 is in the thousandths place.
Hope this helps :)
Answer:
Ask your mom
Step-by-step explanation:
Answer:
a) factors of polynomial are: (x+1)(x-2)(x-5)
b) the required polynomial in standard form is: 
Step-by-step explanation:
The polynomial has zeros at -1,2,5
Part A) Write the three factors of the polynomial
we have x=-1, x=2 and x=5 as zeros of polynomial
so factors will be:
(x+1)=0, (x-2)=0, (x-5)=0
So, factors of polynomial are: (x+1)(x-2)(x-5)
Part B) Write the polynomial in standard form
For finding polynomial, we will multiply all the factors i.e
(x+1)(x-2)(x-5)

So, the required polynomial in standard form is: 
Answer:

Step by step explanation:
![\text{Given that, two roots are}~ -4~ \text{and}~ 4i.\\\\\text{Let,}\\\\~~~~~~~x = 4i\\\\\implies x^2 = 16i^2~~~~~~~;[\text{Square on both sides}]\\\\\implies x^2 = -16~~~~~~~~;[i^2 = -1]\\\\\implies x^2 +16 = 0\\\\\text{So,}~ x^2 +16~ \text{ is a factor of the 3 degree polynomial}.\\ \\ \text{The polynomial is ,}\\\\ f(x) = (x+4)(x^2 +16)\\\\~~~~~~~=x^3 +16x +4x^2 +64\\\\~~~~~~~=x^3 +4x^2 +16x +64](https://tex.z-dn.net/?f=%5Ctext%7BGiven%20that%2C%20%20two%20roots%20are%7D~%20-4~%20%5Ctext%7Band%7D~%20%204i.%5C%5C%5C%5C%5Ctext%7BLet%2C%7D%5C%5C%5C%5C~~~~~~~x%20%3D%204i%5C%5C%5C%5C%5Cimplies%20%20x%5E2%20%3D%2016i%5E2~~~~~~~%3B%5B%5Ctext%7BSquare%20on%20both%20sides%7D%5D%5C%5C%5C%5C%5Cimplies%20x%5E2%20%3D%20-16~~~~~~~~%3B%5Bi%5E2%20%3D%20-1%5D%5C%5C%5C%5C%5Cimplies%20x%5E2%20%2B16%20%3D%200%5C%5C%5C%5C%5Ctext%7BSo%2C%7D~%20x%5E2%20%2B16~%20%5Ctext%7B%20is%20a%20factor%20of%20the%203%20degree%20polynomial%7D.%5C%5C%20%5C%5C%20%5Ctext%7BThe%20polynomial%20is%20%2C%7D%5C%5C%5C%5C%20f%28x%29%20%3D%20%28x%2B4%29%28x%5E2%20%2B16%29%5C%5C%5C%5C~~~~~~~%3Dx%5E3%20%2B16x%20%2B4x%5E2%20%2B64%5C%5C%5C%5C~~~~~~~%3Dx%5E3%20%2B4x%5E2%20%2B16x%20%2B64)