You line 49.2
×10.3
---------
506.76
Finding the inverse function:
We are given a function y = f(x). To find the inverse function, we exchange x with y in the original function, and then isolate y.
So
We are given the function:

So

Changing x with y

Now, we have to isolate y. So

We can apply the fifth root to both sides. So:
![\sqrt[5]{(y+7)^5}=\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%28y%2B7%29%5E5%7D%3D%5Csqrt%5B5%5D%7Bx%7D)
![y+7=\sqrt[5]{x}](https://tex.z-dn.net/?f=y%2B7%3D%5Csqrt%5B5%5D%7Bx%7D)
Use trigonometry to solve for x.
The tangent function is defined to be opposite side divided by the adjacent side.
tan(78) = x/10
tan(78)(10) = x
47.0463010948 = x
We now round off to two decimal places. In other words, we round off to the nearest tenths.
47.05 = x
Done!
The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
<h3>What is logarithmic regression?</h3>
Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.
The data of the table for the day and height of the stalk of corn is listed below.
Day (<em>x</em>) 9 12 22 40
Height (<em>y</em>) in 5 17 45 60
Mean of x values,

Mean of y values,

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

Compare it with the following logarithmic regression equation, we get


Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
Learn more about the logarithmic regression here;
brainly.com/question/25226042