So what I did was the terms that were alike like this: (5x -19x)+(20y+36y)+4.27xy+9.11. Then I simplified and got -14x+56y+4.27xy+9.11. The terms 4.27xy and 9.11 were not in ()'s because they were the only ones with an alike term. Hope that helps and also try to doing the steps and see what you get. If you get it wrong look to see where you messed up and try again! If I am wrong please notify me, I would appreciate it!
The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
Ok so standard form is a bit tricky, but I’ll help explain
Here’s and example:
If you have 2x+5y=10 here is how you would solve it
First you divide the x value by what the number is equal to (in our example, 10), and then we get 10/2 is 5. So now we know that
x is equal to five
Keep that in mind. Now we just have to do the same thing for the y value. 5/10 is 2, so you know that
y is equal to two
NOW you put those two together, and graph on the intercepts (the positions on the y and x axis where the lines intercept)
You would put a line on the x axis at 5, and on the y axis at 2
If you have any questions, you can ask
