Answer:
I might be wrong but i looked it over, and I think the answer can be B
Step-by-step explanation:
I dont know for sure but i think it might be.
Answer:
Step-by-step explanation:
For this case we need to find the following integral:
And for this case we can use the substitution from here we see that , and if we solve for x we got , so then we can rewrite the integral like this:
And if we distribute the exponents we have this:
Now we can do the integrals one by one:
And reordering the terms we have"
And rewriting in terms of x we got:
And that would be our final answer.
Answer:
Verified
Step-by-step explanation:
Question:-
- We are given the following non-homogeneous ODE as follows:
- A general solution to the above ODE is also given as:
- We are to prove that every member of the family of curves defined by the above given function ( y ) is indeed a solution to the given ODE.
Solution:-
- To determine the validity of the solution we will first compute the first derivative of the given function ( y ) as follows. Apply the quotient rule.
- Now we will plug in the evaluated first derivative ( y' ) and function ( y ) into the given ODE and prove that right hand side is equal to the left hand side of the equality as follows:
- The equality holds true for all values of " C "; hence, the function ( y ) is the general solution to the given ODE.
- To determine the complete solution subjected to the initial conditions y (1) = 3. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:
- Therefore, the complete solution to the given ODE can be expressed as:
- To determine the complete solution subjected to the initial conditions y (3) = 1. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:
- Therefore, the complete solution to the given ODE can be expressed as:
3 and 60 are the extremes while 15 and 12 are the means.
Answer:
4.71 minutes
Step-by-step explanation:
Incomplete question [See comment for complete question]
Given
Shape: Cone
-- radius
--- height
Required
Time to pass out all liquid
First, calculate the volume of the cone.
This is calculated as:
This gives:
To calculate the time, we make use of the following rate formula.
Make Time the subject
This gives:
Cancel out the units