Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
Answer:
First one Equivalent but not simplified fully (Can combine the two y terms)
Second: Equivalent but not simplified fully (Can combine the two x^2 terms)
Third: Equivalent and simplified fully
Fourth: Not equivalent (y term is not correct)
Fifth: Not equivalent (x^2 term is not correct and the constant terms [ones without variables] can be combined)
Sixth: Not Equivalent (y term is not correct and the constant terms can be combined)
Step-by-step explanation:
You just need to know if two terms have the same variable they can be added or subtracted. But if it is say x and x^2 it cannot, they need to be brought to the same power as well. or if there is a term with xy, it can only be added and subtracted to other xy terms
Answer:
I) There are 
hours in 1 year.
II) The exact number of hours in one year is 
hours.
Step-by-step explanation:
Given : 1 hour=3600 seconds
1 year = 31556952 seconds.
To find :
I) Use scientific notation to estimate the number of hours in one year.
1 day = 24 hours
1 year = 365 days
So, number of hours in one year is given by,
In scientific notation,
So, there are hours in 1 year.
II) 1 year = 31556952 seconds.
1 hour = 3600 seconds
In one year the number of hour is given by,
In scientific notation,
So, the exact number of hours in one year is hours.
III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.
- The exact numbers of hours using 365 days is 8760 which is written as in scientific notation but using the given data we get hours.
- Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.
- If we round these we get
hours which has two significant numbers.
THE FACTOR TREE IS : 8=2^3
