Recent content by ajkess1994

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    MHB Four Capacitors: What is the charge on C4

    I have been struggling to figure this question out lately and could use some help setting it up correctly. As shown in the figure, V = 9.0 V, C1 = C2 = 27.2 μF, and C3 = C4 = 13.6 μF. What is the charge on capacitor 4? I have tried using the summation of charges and then multiplying by the...
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    MHB Differential Equations - Bernoulli equation

    Thank you Dan - - - Updated - - - Thank you Ackbach
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    MHB Differential Equations - Bernoulli equation

    Afternoon, anyone that would like to take a look at this Differential Equation problem it would be very helpful. I have tried separating the problem, but I am only working with one known term. Consider the logistic equation $$\dot{y}=y(1-y). $$ (a) Find the solution satisfying $y_1(0)=6$ and...
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    MHB How Do You Evaluate the Indefinite Integral as a Power Series?

    Yes, Arsen I can expan the ln(1-t) to a MacLauren series, and from there finding the "nth" terms shouldn't be too difficult, thank you for the suggestioon.
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    MHB How Do You Evaluate the Indefinite Integral as a Power Series?

    Evaluate the indefinite integral as a power series ∫[ln(1−t)/7t]dt. Find the first five non-zero terms of power series representation centered at t=0. Answer: f(t)= What is the radius of convergence? Answer: R= 1 Note: Remember to include a constant "C". This problem has been difficult...
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    MHB Solve f(x,y,z): Min & Max Values Subject to Constraint x^2+2y^2+6z^2=81

    Thank you MarkFL the process carried out and worked.
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    MHB Solve f(x,y,z): Min & Max Values Subject to Constraint x^2+2y^2+6z^2=81

    Afternoon, I have been working on this problem for awhile now but have been stuck on a certain point, and once I set everything equal to each other I end up with the same thing for example: x=x, y=y, & z=z Find the minimum and maximum values of the function f(x,y,z)=3x+2y+4z subject to the...
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    MHB Solve Lagrange Multipliers Problem w/ e^(9x) - Find (a,b)

    Thank you for helping me with this problem, enjoy the rest of Veteran's Day
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    MHB Solve Lagrange Multipliers Problem w/ e^(9x) - Find (a,b)

    I have been stumped on this problem and I am probably overthinking it as usual. The problem deals with the Lagrange Multipliers: Use Lagrange multipliers to find the point (a,b) on the graph of y=e^(9x), where the value (a,b) is as small as possible. I have found the gradient for both when...
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