Solution:
Given expression:
To solve the expression:
<em>If f(x) = g(x) then ln(f(x)) = ln(g(x)).</em>
Using the above condition, we can write
Apply log rule: 
Divide both side of the equation by 
.
The answer is 
.
For the first graph, part a). The limit of f(x) as x approaches 2 from the LEFT follows the line y = 4, which ends at the hollow point (2, 4). This means that the limit is 4.
First graph, part b), The limit as x approaches 2 from the RIGHT follows y = -1, with a hollow point at (2, -1). This means that the limit is -1.
Second graph: We approach x = 3 from the left, following the downward sloping line which ends at the hollow point (3, -1). This means that the limit is -1.
Third graph: We approach x = 3 from the right, following the horizontal line that ends at (3, 3). This means that the limit is 3.
Note that when talking about one-sided limits, we use the hollow point's y-value which the function approaches. However, when looking at the value of f(x), we would use the solid point.
Hello,
dy/dx=4==>dy/y=4dx==>ln(y)=4x+C
==>y=k*e^(4x)
if x=0 y=4==>4=k*e^(4*0)==>k=4
==>y=4*e^(4x)
Answer A (with parenthesis!!!)
The area is 25π
Hope this helps
