If you do in fact mean
(as opposed to one of these being the derivative of
at some point), then integrating twice gives



From the initial conditions, we find


Eliminating
, we get


![C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)](https://tex.z-dn.net/?f=C_1%20%3D%20-%5Cdfrac%7B%5Cln%286%29%7D5%20%3D%20-%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29%20%5Cimplies%20C_2%20%3D%20%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29)
Then
![\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%28x%29%20%3D%20%5Cln%7Cx%7C%20-%20%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29%5C%2Cx%20%2B%20%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29%7D)
Answer:
d) 10
Step-by-step explanation:
x ÷
+ 8 = 13
substitute 10 for x:
⇒ 10 ÷
+ 8 = 13
solve:
1) divide 10 by
⇒ 10 ÷
= 5
2) add 8 to 5
⇒ 8 + 5 = 13
Answer:
greater
Step-by-step explanation:
Answer:
60%, 0.62, 0.625
Step-by-step explanation:
Step 1: Convert 5/8 to decimal form.
In order to convert a fraction to a decimal, we divide the numerator (top) by the denominator (bottom). By dividing 5 by 8, we can get the fraction 5/8 in decimal form, which is 0.625
Step 2: Convert 60% to decimal form.
In order to convert a percentage to a decimal, all we have to do is move the percentage's decimal point two spots to the left. Since 60% shows us no decimal point, we can assume that it comes directly after the 0, or 60.0%. After moving the decimal point two spaces to the left, we find that 60% = 0.60 in decimal form.
Step 3: Compare the numbers.
Since 0.62 is already in decimal form, we don't need to make any changes. This means that we can compare the numbers we just found as well as 0.62. Since our numbers would be 0.625 (5/8), 0.60 (60%), and 0.62, from least to greatest we would get 60%, 0.62, 0.625