Answer:
See below.
Step-by-step explanation:
1)
So we have the limit:
This is equivalent to:
To solve, we can use the following property:
Therefore, our limit is the same as:
We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:
You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.
Similarly, for the second one:
2)
We have:
Using the same property:
And we are told that this is 16, so:
And we just need to evaluate this to find the limit.
I hope you find this helpful!
Hello from MrBillDoesMath!
Answer:
48x + 72y
Discussion:
8(3(2x+3y)) = => as 8*3 = 24
24 (2x + 3y) =
24*2x + 24*3y =
48x + 72y
Thank you,
MrB
This ODE has characteristic equation
which has roots at 
. Then the characteristic solution to the ODE is
Multiply 40 * 3 to find how many video games his shelves can hold (120).
Subtract 85 from 120 to find how many more video games he has room for.
draw a rectangle around it:
the widest part is from about -3 to 2 which is 5 units wide
height is from 3 to -4, which is 7 units
5*7 = 35
the top and bottom are angled so you can subtract a little for that
so I would estimate around 32 square units
