Answer:
x = 9
Step-by-step explanation:
Using the rule of exponents
×
⇔
Given
=
×
=
=
Since the bases on both sides are common, then equate the exponents
x = 9
There are 18 mathematics majors and 325 computer science majors at a college. a. In how many ways can two representatives be pic
1 answer:
Answer:
Step-by-step explanation:
Given
There are 18 Mathematics Majors and 325 computer science majors at a college
(A)Two Representative to be selected
no of ways in which 1 representative of Mathematics major can be selected is
no of ways in which 1 representative of Computer science major can be selected is
Total no of ways
(b)No of ways in which either a Mathematics or computer science major can be selected is
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Answer:
The answer is option 1.
Step-by-step explanation:
Firstly, you have to elaborate the expression :
Next you have to take out the common factors and factorize it :
First, we need to solve the differential equation.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.