F^-1(x)= (x+7)/2
it's the inverse so adding is subtracting and multiplication is divison
Answer:
Step-by-step explanation:
chickens + goats = 13
so...
c + g = 13, so...
g = (13 - c)
2 legs times the number of chickens (2c) + 4 legs times the number of goats (4g) = 48 total legs. So...
2c + 4(13-c) = 48, so
2c + 52 - 4c = 48, so
-2c = -4, so
2c = 4, so
c = 2.
There are 2 chickens, and therefore 11 goats.
Answer: 12 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is 180(n-2), where n is the number of sides

Answer:
1,448.4 mm.
Step-by-step explanation:
Volume is the length, width, and height multiplied together.
14.2 mm x 12 mm x 8.5 mm = 1,448.4 mm^2.
Answer:

Step-by-step explanation:
<u>The Derivative of a Function</u>
The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula

There are tables where the derivative of all known functions are provided for an easy calculation of specific functions.
The derivative of the inverse tangent is given as

Where u is a function of x as provided:

If we set

Then


Taking the derivative of y
![y'=3[tan^{-1}(x+\sqrt{1+x^2})]'](https://tex.z-dn.net/?f=y%27%3D3%5Btan%5E%7B-1%7D%28x%2B%5Csqrt%7B1%2Bx%5E2%7D%29%5D%27)
Using the change of variables
![\displaystyle y'=3[tan^{-1}u]'=3\frac{u'}{1+u^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%3D3%5Btan%5E%7B-1%7Du%5D%27%3D3%5Cfrac%7Bu%27%7D%7B1%2Bu%5E2%7D)

Operating

