For this case we have the following functions:
We must find 
. For definition of composition of functions we have to:
So:
Then, for any value of "x", the composite function has a value of
.
Thus,
cannot be evaluated, it will always be obtained 
ANswer:
For any value of "x", the composite function has a value of
Answer:
the horizontal distance is increasing at a rate of 4.953 in/s
Step-by-step explanation:
since the rod is leaning up against the wall and its length L is constant , then the relationship between y ( vertical distance ) , x (horizontal distance ) and L is
x² + y² = L²
then using derivatives with respect to the time t in both sides of the equation
2*x*dx/dt + 2*y*dy/dt = 0
dx/dt = y/x*dy/dt
since we know that x² + y² = L² → x= √(L² -y²) , then
dx/dt = -y/√(L² -y²)*dy/dt
replacing values
dx/dt = -153 in /√[(165 in)² -(153 in)²]* (-2 in/s) = 4.953 in/s
therefore the horizontal distance is increasing at a rate of 4.953 in/s
Answer:
8m^5-33m^3
Step-by-step explanation:
Combine like terms Expand and simplify
Answer:
1/5
Step-by-step explanation:
You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.
C + (4 - 3c) - 2 = 0
c + 4 - 3c - 2 = 0
c - 3c + 4 - 2 = 0
-2c + 2 = 0
<u> - 2 - 2</u>
<u>-2c</u> = <u>-2</u>
-2 -2
c = 1
