Recent content by dlp248
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Optimizing the area of a rectangle inside a racetrack
Here is my attempt at a sketch:- dlp248
- Post #4
- Forum: Calculus and Beyond Homework Help
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Optimizing the area of a rectangle inside a racetrack
I am not sure how to add a sketch to this post; It is a rectangle with two semicircle ends. This is the rest of my work: P= 2πr + 2h 5280 = 2πr + 2h h = 2640 - πr A(r) = πr^2 + 2rh A(r) = πr^2 + 2r(2640 - πr) A(r) = πr^2 + 5280r - 2πr^2 A(r) = 5280r - πr^2 A'(r) = 5280 - 2πr 0 = 5280 - 2πr...- dlp248
- Post #3
- Forum: Calculus and Beyond Homework Help
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Optimizing the area of a rectangle inside a racetrack
Homework Statement Maximize the area (in feet) of the rectangular field inside of a mile long racetrack. Homework Equations Circumference of a circle = 2πr P= 2x + 2y The Attempt at a Solution Area of the semicircles = πr^2 Area of the rectangle = 2rh A(r) = πr^2 +2rh P= 2πr + 2h + 4r...- dlp248
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- Area Rectangle
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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Differential calculus, physics problem
Thanks for getting back to me! I was entering this function into a computer for grading. I ended up contacting my professor and she was able to point out to me that the question was asking for a step by step differentiation of the position function. So the velocity function that I found ended...- dlp248
- Post #3
- Forum: Calculus and Beyond Homework Help
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Differential calculus, physics problem
Homework Statement The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber in a car) is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion of a point on such a spring is s(t) =...- dlp248
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- Calculus Differential Differential calculus Physics
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Ohm's Law Validity: Does it Change with Heat?
Homework Statement When would Ohm's law not be valid. Does Ohm's law only work with specific resistors, i.e. when R = 25 ohms? As the current flows and the resistor heats up does resistance change? Homework Equations V = IR The Attempt at a Solution I would say that no, Ohm's law is not...- dlp248
- Thread
- Law Ohm's law
- Replies: 1
- Forum: Introductory Physics Homework Help
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Converting pressure to atomspheres
Thanks guys. I guess when I saw the number I questioned myself. It'll come with more practice. That is the exact why reason I am loving physics! I'm in the base introductory course at my college this semester so I can get my calc done and then off to bigger and better things! Planning on...- dlp248
- Post #5
- Forum: Introductory Physics Homework Help
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Converting pressure to atomspheres
Homework Statement The deepest part of the ocean is about 10,900 meters deep. Calculate the pressure at that depth in units of N/m^2. Mass density for seawater is 1030 kg/m^3. Then convert the pressure to the number of atmospheres given one atmosphere is 1.013x10^5 N/m^2. Homework Equations...- dlp248
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- Pressure
- Replies: 4
- Forum: Introductory Physics Homework Help