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    Second order diff eq with two variables

    wow, yeah, that's all I had to do. Thanks a lot.
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    Second order diff eq with two variables

    I think the two different solutions have to be independent of each other - or not be multiples of each other. I'll give it a shot and see what happens though. Thanks.
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    Second order diff eq with two variables

    Here's the problem: x^2y''-3xy'-12y=0 with initial conditions y(1)=0 and y'(1)=7 I'm supposed to solve for y in the form y=c1y1+c2y2 y1 = x^6 by inspection Now to solve for y2 y2=y1v v can be solved for by the equation y1v''+(2y1'+py1)v'=0 where p is the function in front...
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    Second order diff eq with i

    Crap, nevermind, I left b^2 out of the quadratic formula, thanks anyways. Here's the question: Find y as a function of t from the diff eq: y''+6y'+25y=0 with the initial conditions y(0)=8 and y'(0)=8 I used the form r^2+6r+25=0 to solve for r and through the quadratic equation got r =...
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    Velocity and acceleration from a position equation

    yeah, I'm half retarded. I needed to make y a function of t and go from there. Thanks.
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    2 Fluid Questions

    For the first question you should draw a freebody diagram and from there you can get the net force acting on the sphere: buoyant force - weight. For the second question I think the circular diameter is best described by a donut, from the inside to the outside is 5.6 mm. The total weight of...
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    Velocity and acceleration from a position equation

    Here's the question: A particles position is defined by the equation x=y^2/6 and it moves at a constant velocity in the y-direction of 3 in/s. Find the velocity and acceleration when x=6 in. I know v=sqrt(vx^2+vy^2) and a is found the same way, but I have absolutely no idea how to find the...
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    Solution to 2nd order diff eq

    Never mind, I figured it out. Here's the question: Find the general solution to the homogeneous differential equation https://webwork.math.uga.edu/webwork2_files/tmp/equations/59/540a7a16e5c4e841a098d9d2a72f0a1.png The solution has the form...
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    Quick strengths question

    Yeah, that helps. I'll give it a shot and you'll hear back from me if I still can't get the right answer. Thanks.
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    Quick strengths question

    I'm supposed to find the deflection of a beam. It's steel with a brass shell, so they have different values for E. How do I do this problem using PL/AE. Intuitively I think I should take the average, but I have no idea if that's right or not. Thanks. I should probably give some more...
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    Growth problem

    If I had I'd forgotten it. I should be able to solve from here (again). Thanks again for helping.
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    Growth problem

    You lost me with the collecting. Can you give me another example?
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    Growth problem

    OK I lied, I'm still not getting the right answer. dP/P(7-P)=6/700dt 1/7log(P)-1/7log(7-P)=6t/700+c log(P)-log(7-P)=6t/100+c Using e P-7+P=e^(6t/100)+c P=(e^(6t/100)+7)/2+c P(0)=3 so c=-1 Subbing 66 for t, I get 28.729 Still not right, what am I doing wrong now? Thanks again.
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    Growth problem

    Yeah, I can solve that. Didn't think to seperate variables for some retarded reason. Thanks for the help.
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    Growth problem

    Here is the first question: A population P obeys the logistic model. It satisfies the equation https://webwork.math.uga.edu/webwork2_files/tmp/equations/11/02d0a645c053f1f6002d746c78143f1.png Assume that P(0)=3. Find P(66) First I multiplied both sides by dt and integrated, giving...
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    L'hospital's rule

    Oh yeah, that 1 should've disappeared from what I found. Thanks a lot.
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    L'hospital's rule

    I have the equation A 44*e^(kt/5)+49((1-e^(kt/5))/k) and I'm supposed to evaluate as k-->0 I think I'm supposed to apply l'hospital's rule to the second part of the equation, which would give 49*((1-t/5*e^(kt/5))/1) which as k-->0 is 49*(1-t/5) so the whole thing as k-->0 is...
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    Quick limit question

    I already found this equation: T= 15/1.36(.6*sin(t)-cos(t))+100-23.971/e^(.6t) Now I'm supposed to find the range of temperatures (T) as t approaches infinity. I tried 100+(15/1.36*.6*sin(90)) and 100-(15/1.36*cos(0)) but that's not right. What am I missing? Thanks.
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    Constructing an equation

    Yep, that was it. Thanks.
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    Constructing an equation

    Here's the question: A bacteria culture starts with 820 bacteria and grows at a rate proportional to its size. After 3 hours there will be 2460 bacteria. (a) Express the population after t hours as a function of t. I tried y=y'+820, so -y'+y=820 p(t)=1 mu(t)=e^t I carried this out...
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    Fluid Pressure

    Here's the question: If the pressure of a substance is increased during a boiling process, will the temperature also increase or will it remain constant? It seems like it would increase because boiling is basically the release of pressure to create equilibrium. Is this right? Thanks a lot.
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    Differential equations

    Here's the problem: Solve y'-4y=9e^(7t) with y(0)=5 p(t)=-4 mu(t)=e^(int[-4dt])=e^(-4t) multiplying both sides by mu(t) e^(-4t)(y'-4y)=9e^(3t) Dt(e^(-4t)y)=9e^(3t) e^(-4t)y=3e^(3t)+c y=(3e^(3t))/(e^(-4t))+c/e^(-4t) now when y(0)=5 5=3+c c=2 so y=(3e^(3t))/(e^(-4t))+2...
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    Curvilinear Motion Calc

    Hey guys, Here's the question: A point A moves along a curve with the equation x = y^2/6 and is elevated in the y direction at a constant velocity of 3 in/s. Calculate the velocity and the acceleration when x = 6 in. So I solved for y and y=sqrt(6*x) and when x=6 y=6. Since the...
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    Coordinates given, find whether a point is inside or outside

    I'm supposed to derive an equation that will find whether or not a point is inside or outside a shape with only the coordinates of the vertices given. The shape is expected to be something like this: ______ |........|.........._____ |........|______|.......|...
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    Java Java, RoboJDE

    Hey, I'm working on a project with RoboJDE and java and I have a few quick questions. What I'm supposed to do is write code so that the camera will find the coordinates of a swatch of color and move accordingly as the swatch changes positions. The robot is supposed to move from side to side...
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    Maximum current IN the resistor

    Great. Yeah, it was the magnitude not the actual current. Thanks.
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    Maximum current IN the resistor

    When t = 0 it is the highest (or lowest since it's negative) because e^0=1 so it's just -Q/RC As t approaches infinity e^(-t/RC) will equal 0, so the extremes will be 0 and -Q/RC, right? Is there a difference between that current and the current that's actually in the resistor? Thanks.
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    Power in circuits

    Vx/R3 + (Vx+E2)/R4 ?
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    Power in circuits

    Are the nodes at the resistors or at the intersections of the conducting wire? I checked out the wikipedia site but it's still not making a whole lot of sense to me. Thanks. Is it anything like (0-V1)/4 + (V1-V3)/8 + (V2-V4)/8 = 0A and V2 - V4 = 20V ? with V1, V2, V3, V4 going...
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    Power in circuits

    Alright, I'm getting somewhere now but I'm not sure how many loops there are in this circuit. I think it's 5: Loop 1: E1 to R1 to R2 to E1 Loop 2: E1 to R1 to R3 to E1 Loop 3: E1 to R1 to E2 to E1 Loop 4: E2 to R4 to R3 to E2 Loop 5: E2 to R4 to R2 to E2 Is this right?
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