Answer:

Step-by-step explanation:
We are given: 
We will use integration by parts.


Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively
Step-by-step explanation:
Ratio of the ages of three children is 2:5:1.
Total ratio =2+5+1=8
So that
the 1st Child's age =2/8 x 32=8 years
2nd Child's age =5/8 x 32= 20 years
3rd Child's age =1/8 x 32= 4 years
Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.
Answer:
i got you :D
Step-by-step explanation:
f(x)= 2x²+4x-6 and g(x)=2x-2, find each function
1. (f/g) (x) = f(x)÷g(x) = (2x²+4x-6)÷(2x-2)
First factor both top and bottom:
(2x-2)(x+3)÷(2x-2) = x+3
2. f(a + 2) = plug (a+2) in anywhere there is an x in f(x)=2x²+4x-6 -->
2(a+2)^2 +4(a+2)-6 = 2(a^2+4a+4)+4a+8-6, now distribute:
2a^2+8a+8+4a+2, combine like terms
2a^2+12a+10
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:
m: Is the slope
b: Is the cut-off point with the y axis
According to the data of the statement we have to:

Then, the equation is of the form:

We substitute the point
and find "b":

Finally, the equation is:

To graph we place the points
and
on the coordinate axis and join the points by a line.
ANswer:

The graphic is attached.