Answer:
Step-by-step explanation:
AB =
= 
Answer:
The antiderivative is
.
Step-by-step explanation:
Antiderivative F(x)
This is the integral of 
So
F′(x) = f(x) = 6 + 24x^3 + 18x^5
Then:



F(1)=0
when
. We use this to find K.



Thus
The antiderivative is
.
To factor this fraction, you have be be aware of two special factoring formula:
a^3<span> + </span>b^3<span> = (</span>a<span> + </span>b)(a^2<span> – </span>ab<span> + </span>b^2<span>)
</span><span>(a+b)³ = a³ + 3a²b + 3ab² + b³
You can see the top part in this case is (x+y)^3, and the bottom (denominator) can be factor into (x+y)(x^2-xy+y^2)
we can cancel (x+y), so what we have left is (x+y)^2/(x^2-xy+y^2)
or (x^2+2xy+y^2)/(x^2-xy+y^2)
</span>
Answer:
G(x)=2x+1 , vertical stretch by 2 units and shifted 1 unit up
Given :
Original function f(x)=x
To find :
Function G whose graph is a vertical stretch by 2 and move one unit up
We use the given function to for vertical stretch and shifting up
for Vertical stretch multiply the factor by f(x)
f(x) becomes 2f(x)
so the function becomes 2x
For moving up , we need to add the units at the end of the function
f(x)+1
2x+1
Hence, G(x)=2x+1
Learn more : /brainly.com/question/4521517
Step-by-step explanation: