It is hard to comprehend your question. As far as I understand:
f(x,y) = e^(-x)
Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.
That is all I understood. It would be easier to understand with a picture or some kind of visual aid.
Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.
Now evaluate,
which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.
Now integrate this w.r.t. y:
So,
Answer:1 3/8
Step-by-step explanation:
1 gallon + 5/8 gallon = 1 5/8 gallon
1 5/8 gallon - 2/8 gallon = 1 3/8 gallon left of purple paint
Answer:
a=11, b=53
Step-by-step explanation:
y=ax+b
x=1, y=64 -> 64=a+b
x=2, y=75 -> 75=2a+b
75-64=a, a=11, b=53
All the other points obey this rule.
Answer:
5
Step-by-step explanation:
The mechanical advantage of a machine is the ratio of the force that you need to input to how much is outputted. 200:1000=1:5, meaning that the mechanical advantage is 5. Hope this helps!
Answer:
0.90
Step-by-step explanation:
I entered it onto my calculator, but if you'd like an explanation as to how just ask.
