Recent content by Delber

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    Critically Stable - Control Theory

    I am preparing for my control theory exam, but I have come across that I am struggling. I have a third order system and its asking to me determine when a value of an adjustable parameter, K for when the system is critically stable. I just don't know what this corresponds two for a third order...
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    Particle Exchange Symmetry Question

    I am having some trouble understanding particle exchange symmetry and I'm working on the most basic problem with 2 spin-1/2 particles in a 1D infinite square well. I understand that a singlet state requires a symmetric spatial wave function and a triplet requires an antisymmetric wave...
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    Intersection of a parabola with another curve

    Homework Statement For a any parabola with the equation y=kx^{2} I'm trying to find a curve that intersect every point of the parabola at right angles. Homework Equations For a perpendicular intersection the slope is -\frac{1}{m}The Attempt at a Solution I took the derivative and then took...
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    When Were Two Trains Closest Together?

    Thanks for the clarification. So the new equation should be: f(t)=\sqrt{(45-45t)^{2}+(60t)^{2}}? Edit: Yep, I get the correct answer in the book. Thanks for the help.
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    What is the displacement of the car from the point of origin?

    It's just convention when mentioning southwest that the angle is 45 degrees. It is also true when saying southeast, northeast, northwest.
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    When Were Two Trains Closest Together?

    Homework Statement A train leaves the station at 10:00 and travels due south at a speed of 60 km/h. Another train has been heading due west at 45 km/h and reaches the same station at 11:00. At what time were the two trains closest together? Homework Equations c^{2}=a^{2}+b^{2}The Attempt at a...
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    Solving Redox Titrations: Na2SO3 & KMnO4

    I would calculate how many moles of FeSO_{4} and from that calculate how many moles of KMNO_{4} would be needed to oxidize the compound.
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    What are the coordinates of C in a parallelogram given vertices A, B, and D?

    Homework Statement Given a parallelogram ABCD has vertices A(-1,2,-1), B(2,-1,3) and D(-3,1-3). Find the coordinates of C. Homework Equations The Attempt at a Solution I'm extremely confused here. I do not know how to tell which coordinate is for which vertex on the parallelogram. I...
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    Curve Sketching with Derivatives?

    Homework Statement I am given the following function: f(x)=\frac{2x^2}{x-1} The question asks to find the critical points and classify each using the second derivative. Homework Equations The Attempt at a Solution I got the derivative of f(x) to be: f'(x)=\frac{2x^2-4x}{(x-1)^2} So the...
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    Optimization Problem Homework: Find Best Trucking Route

    I just assumed the cost for the trips both ways was the same because of the wording of the question. It stated the average speed and I used that to calculate the cost of the trips. Thanks for the pointing my error in the equation. I redid it so the correct function is: C(x)=987...
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    Optimization Problem Homework: Find Best Trucking Route

    I tried from the first equation of C(x)=500 000\sqrt{x^2+3^2}+200 000(10-x) and added the operation costs to that equation. So a I got a new equation: C(x)=500 000\sqrt{x^2+3^2} + 200 000(10-x) + 5(300(200(65(\frac{\sqrt{x^2+3^2}}{40}) + 50(\frac{(10-x)}{70})))) Which I simplified from just...
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    Optimization Problem Homework: Find Best Trucking Route

    It's from my Calculus textbook. It's from Harcourt Canada and I can't seem to find much more information about it. Seems like the textbook's website has been taken down too. Edit: The minimum for C(x) I wrote at the beginning I got was about 1.3.
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    Optimization Problem Homework: Find Best Trucking Route

    Homework Statement I have been stuck working on this problem for the past little while and can't seem to figure it out. A construction company needs to create a trucking route for five years to transport ore from a mine site to a smelter. The smelter is located on a major highway 10km from...
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    Calculating displacement on a v-t graph?

    No, its a general formula for any triangle's area. For this problem, you have only calculated the area of the triangle and forgetting the area of the rectangle underneath the triangle on the graph. You have only got the area for this part of the graph...
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    Helicopter Speed Relative to Ground: Solve w/ Vector Components

    Homework Statement A helicopter's velocity relative to the air is 55m/s[W35^\circN] The wind speed is 21 m/s[E]. I need to find the speed of the airplane relative to the ground. Homework Equations The Attempt at a Solution I tried using vector components for this equation. Since the vertical...
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