Answer:

Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
![\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20%5Cint_a%5Ex%20f%28t%29%5C%2C%20dt%20%20%5Cright%5D%20%3D%20f%28x%29)
Where <em>a</em> is some constant.
We can let:

By substitution:

Taking the derivative of both sides results in:
![\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20g%27%28s%29%20%3D%20%5Cfrac%7Bd%7D%7Bds%7D%5Cleft%5B%20%5Cint_6%5Es%20g%28t%29%5C%2C%20dt%5Cright%5D)
Hence, by the Fundamental Theorem:

The area of the rectangle is 47 1/2
<span>( 5, 2) and ( 6, 4)
slope m = (4-2)/(6-5) = 2
y = mx + b
b = y - mx
b = 2 - 2(5)
b = 2 - 10
b = -8
so now you have slope m = 2 and y intercept b = -8
equation
y = 2x - 8
answer
</span><span>a. y = 2x - 8</span>
Answer:
f(-4) = -12
Step-by-step explanation:

To calculate f(-4), we need to substitute x in our equation above with -4:

Note that 2*(-4) = -8
Answer: f(-4) = -12