Answer:
r=5.42cm
h=10.83cm
Step-by-step explanation:
Hello!
To solve this problem please use the following steps, the complete procedure is attached.
1. Raise the equation for the volume of a cylinder and solve for the height (H)
2. Use the equation for the surface area of a cylinder, and replace the height using the equation found in step 1.
3. Derive the equation with respect to the radius and equal it to zero, then solve for the radius of the cylinder. Remember that the objective is to find that with the minimum surface area, the required volume is generated.
4. Once the radius is found, find the height with the equation from step 1
You need a graphing calculator or just use an app on your phone (Desmos is a good app to use). I show what to do in the photo below.
Answer:
The skydiver will fall 1600 ft in 10 seconds.
Step-by-step explanation:
<u>Distance a body falls from rest varies directly as the squares of the time it falls </u>
Let distance = s
time = t
Therefore , s = k
Given, the body falls 64 ft in 2 seconds.
Substituting in above equation,
64 = k
64 = k
k =
k = 16 ft/
We have to find how much he will fall in 10 seconds.
s = k
s =
s =
s = 1600 ft
Answer:
Step-by-step explanation:
We can find the derivative using the <u>chain rule.</u>
To get the derivative of an expression with an exponent you multiply the expression by the exponent and raise it to the power of the exponent minus one.
Then multiply it by the derivative of the expression inside the parentheses.
The derivative of 4x+3 is 4, so multiply the rest by 4.
Therefore the derivative is:
<span>a. verify that the conditions for computing a confidence interval are met in this case.
The formula for computing the CI interval is given by:
x_bar+/-z (s/</span>√n<span>)
since:
x_bar=6.67
s=1.88
n=15
The conditions are met because we have all the values necessary for computing CI.
b] </span><span> compute and interpret a 95% confidence interval for the mean number of hours the students at this school sleep each night.
The value of z corresponding to 95% CI is 1.96
thus the 95% CI will be:
6.67+/-1.96(1.88/</span>√15<span>)
=6.67+/-1.96(0.4854)
=6.67+/-0.9514</span>