Recent content by olicoh

I have another question (actually 3 questions): 3) Use the initial condition to find the constant of integration, then write the particular solution (do not solve for V). Attempt at solution: 2√(25)=k(0) + C My answer: 2√(V)=kt+10 4) Use the second condition to find the constant...

That's what I thought. I just wanted to double check. Thanks!

Homework Statement Suppose the rate at which the volume in a tank decreases is proportional to the square root of the volume present. The tank initially contains 25 gallons, but has 20.25 gallons after 3 minutes. Solve for the general solution (do not solve for V). The Attempt at a...

So would it be: int[10]dt = int[n]dn?

Homework Statement Suppse dn/dt = 1/10n and n(1)=-2. Separate the differential equation, then integrate both sides. The Attempt at a Solution How do I do this? There is no 't' to 'separate' from the equation. Would it just be: int[1/10n] = int[0t] ?

Huh... That's odd. I was plugging it into my graphing calculator and it kept spitting out a negative number. I just plugged it into a calculator online and it got 126. Weird. So I'm assuming the answer is 126pi. Thanks!

? How did you get that? I keep getting a negative number because of that 80x.

Homework Statement In Problems 11-15, let R be the region bounded by the lines y = −2x – 4, y = 6, and x = −2. Each problem will describe a solid generated by rotating R about an axis. Find the volume of that solid. 14) The solid is generated by rotating R about y = −3.The Attempt at a...

Volume of Solids with known cross sections Homework Statement In Problems 1-5, let R be the region bounded by y = x^2 + 3, y = 2x, x = 0, and x = 4. Each problem will describe the cross sections of a solid that are perpendicular to the x-axis. Write an integral expression that can be used to...

I know this might seem like a silly question, but how come you subtracted 2x? Is it because the y=x^2 + 3 function is "on top" of the y=2x when you graph it?

Homework Statement In Problems 1-5, let R be the region bounded by y = x^2 + 3, y = 2x, x = 0, and x = 4. Each problem will describe the cross sections of a solid that are perpendicular to the x-axis. Write an integral expression that can be used to find the volume of the solid (do not...

I did. I got 6... I didn't get any other number so I assumed the lower bound was 2

The problem and attempt at solution is attached in the word document. I think I have it right but I'm not sure about the upper and lower bound.

The problem and attempted solution is in the attached document. My teacher said: "This is a confusing question. They use the word 'rate' in the description of the information. But, if you change 'growth rate' to 'something' they are asking for the average something, not the rate of change of...

That makes more sense. Thank you!:smile: