Answer:
Analyzed and Sketched.
Step-by-step explanation:
We are given ![y=\frac{\ln\left(5x)}{x^2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cln%5Cleft%285x%29%7D%7Bx%5E2%7D)
To sketch the graph we need to find 2 components.
1) First derivative of y with respect to x to determine the interval where function increases and decreases.
2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.
![y'=\frac{1-2\ln\left(5x)}{x^3}=0](https://tex.z-dn.net/?f=y%27%3D%5Cfrac%7B1-2%5Cln%5Cleft%285x%29%7D%7Bx%5E3%7D%3D0)
is absolute maximum
![y''=\frac{6\ln\left(5x)-5}{x^4}=0](https://tex.z-dn.net/?f=y%27%27%3D%5Cfrac%7B6%5Cln%5Cleft%285x%29-5%7D%7Bx%5E4%7D%3D0)
is the point concavity changes from down to up.
Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.
The graph is given in the attachment.
Answer:
d) 500 scoops
Step-by-step explanation:
looking at the trend of scoops sold per year, 500 seems to be the correct answer. let me know if this is wrong.
Answer:
with what?
Step-by-step explanation:
Answer:
Step-by-step explanation:
![c_1 = 1 \\ \\ c_n= - 2c_{n-1}+5 \\ \\ c_2 = - 2c_{2-1}+5 \\ \\ c_2 = - 2c_{1}+5 \\ \\ c_2 = - 2(1)+5 \\ \\ c_2 = - 2+5 \\ \\ \huge \purple{c_2 =3} \\ \\ c_3 = - 2c_{3-1}+5 \\ \\ c_3 = - 2c_{2}+5 \\ \\ c_3 = - 2(3)+5 \\ \\ c_3= - 6+5 \\ \\ \huge \red{ c_3 = - 1}](https://tex.z-dn.net/?f=c_1%20%3D%201%20%5C%5C%20%20%5C%5C%20%3C%2Fp%3E%3Cp%3Ec_n%3D%20-%202c_%7Bn-1%7D%2B5%20%5C%5C%20%20%5C%5C%20c_2%20%3D%20-%202c_%7B2-1%7D%2B5%20%5C%5C%20%20%5C%5C%20c_2%20%3D%20-%202c_%7B1%7D%2B5%20%5C%5C%20%20%5C%5C%20c_2%20%3D%20-%202%281%29%2B5%20%5C%5C%20%20%5C%5C%20c_2%20%3D%20-%202%2B5%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cpurple%7Bc_2%20%3D3%7D%20%5C%5C%20%20%5C%5C%20c_3%20%3D%20-%202c_%7B3-1%7D%2B5%20%5C%5C%20%20%5C%5C%20c_3%20%3D%20-%202c_%7B2%7D%2B5%20%5C%5C%20%20%5C%5C%20c_3%20%3D%20-%202%283%29%2B5%20%5C%5C%20%20%5C%5C%20c_3%3D%20-%206%2B5%20%5C%5C%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20c_3%20%3D%20-%201%7D)