So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):
Now that we have their y's, we can use the slope, aka average rate of change, formula, which is 
. Using what we have, we can solve it as such:
In short, the average rate of change from x = 0 to x = 8 is 5/21.
<span>y = 1/2 x + 2
if x = 4 then </span><span>y = 1/2 (4) + 2 = 2 + 2 = 4
(4,4)
answer
</span><span>C.(4, 4)</span>
Answer:
1. Y= 7t^5 +C
2. Y= 35/12x^(12/7)+C
Step-by-step explanation:
The general solution will be determined by integrating the equations as the integration is a simple integration.
For dy/dt = 35t^4
The general solution y
= integral (35t^4)dt
The general solution y
=( 35/(4+1))*t^(4+1)
= 35/5t^5
= 7t^5 +C
To prove by differentiating the above.
Y= 7t^5 +C
Dy/Dt= (5*7)t^(5-1) +0
Dy/Dt= 35t^4
For dy/dx = 5x^(5/7)
Y=integral 5x^(5/7)Dx
Y= 5/(5/7 +1)*x^(5/7+1)
Y= 5/(12/7) *x^(12/7)
Y= 35/12x^(12/7)+C
To prove by differentiating
Y= 35/12x^(12/7)+C
Dy/Dx= (35/12)*(12/7) x^(12/7-1) +0
Dy/Dx=(35/7)x^(5/7)
Dy/Dx= 5x^(5/7)
Answer:
can I see a picture?? .............
