The gr<span>aph of a function f is illustrated below. What is the graph of the inverse function of f? this is a f reflected in the y = x line</span>
The answer is 11/125!
Here's how to do this:
<span>Step 1: 0.088 = 88⁄1000</span>
<span>Step 2: Simplify 88⁄1000 = 11⁄125</span>
<span>I hope this has helped! Good luck :)</span>
The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12
Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.
The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).
Answer:
x(log(x) - 1) + C
Step-by-step explanation:
The formula for the derivative of a logarithm function is:
For your case, the base is 10. Now that we have the derivative, lets use integration by parts. I will be differentiating log(x) and integrating 1:
u = log(x)
du = dx/xlog(10)
dv = 1
v = x
You get:
log(x)x - integral(dx/log(10))
Therefore the answer is:
log(x)x - x/log(10) + C
x(log(x) - 1) + C
Since the series has a common ratio then it is a geometric series.
thus it will follow the explicit formula given by:
an=ar^(n-1)
plugging in the values we get:
an=14(1.03)^(n-1)
thus the 12th term will be:
a12=14(1.03)^(12-1)
a12=19.38
