
Divide both sides by
:

Substitute
, so that
.

Multiply both sides by
:

The left side can be condensed into the derivative of a product.

Integrate both sides to get

Solve for
:

Solve for
:

![\implies\boxed{y(x)=\sqrt[3]{\dfrac14x^2e^x(2\ln x-1)+Ce^x}}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7By%28x%29%3D%5Csqrt%5B3%5D%7B%5Cdfrac14x%5E2e%5Ex%282%5Cln%20x-1%29%2BCe%5Ex%7D%7D)
Answer: (23.53, 25.47)
Step-by-step explanation:
The confidence interval for population mean(when population standard deviation is unknown) is given by :-

, where
= sample mean
n = sample size.
s = sample standard deviation.
t* = Critical value.
Given :
s= 4.4
Confidence level = 90% =0.090
Significance level = 
Sample size : n= 58
Degree of freedom : df= n-1= 57
Using t-distribution table , the critical value :

Then, the confidence interval will be :-



Hence, a 90% confidence interval for the population mean = (23.53, 25.47)
Answer:
If in a 1:2:3 ratio, then
x + 2x + 3x = 180
6x = 180
x=30
Therefore, triangle must have angles of 30, 60, 90
Step-by-step explanation:
5x+25=85
Add 25 because he already saved that amount of money
5x because 5 is the amount of money he makes a week and x= number of weeks.
And =85 because that’s the total cost
To find the amount of weeks, just solve the equation
5x+25=85
5x=60
X=12 weeks
Hope it helps
Answer:
yes
Step-by-step explanation:
that is correct unless your asking something else?