Answer: 282.60in³
Step-by-step explanation:
When calculating the volume of a cylinder, the formula to use is:
= πr²h
where,
π = 3.14
r = radius = 3 in
h = height = 10 in
Volume = πr²h
= 3.14 × 3² × 10
= 282.60
Therefore, the volume of the cylinder is 282.60in³
Answer:
11.18
Step by Step Explanation:
Subtract 9.5 from 21.23
Answer: The measure in degrees of angle S is 33.7°
Step-by-step explanation: Please see the attachments below for the complete question as well as the Step-by-step explanation
Answer:
Step-by-step explanation:
y₂₋y₁ / x₂-x₁ if you have two points you can plug them in and find the slope using this.
If it is on a graph you can look at two points and count the rise over run, for example if one point is (0, 0) and another is (2, 3) then from the first point it goes up 2 and over 3, so the slope would be 2/3
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)
