Recent content by engineer_dave

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    Why Is the Moment Negative in Case 2 Despite Using the Right Hand Rule?

    Homework Statement How do u find whether the moment is negative or positive in the three examples shown?? Even if you use the right hand rule, for case 2 i have seen that the moment is negative and not positive. I am taking counter clockwise as positive moments. Please help out. Thanks...
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    Partial derivative chain rule question

    yea i tried that but could u give me the final answer to that particular part. would it 1/2x^-1/2 multiplied by y?
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    Partial derivative chain rule question

    Homework Statement Given z= square root of xy, x = 2t - 1, y = 3t +4, use the chain rule to find dz/dt as a function of t. Homework Equations The Attempt at a Solution dz/dt = partial derivative of z with respect to x multiplied by dx/dt + (partial derivative of z with respect...
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    Solving the Euler Cauchy Equation: Finding the General Solution

    Homework Statement Find the general solution of x^2y" - 2y = 0 Homework Equations The Attempt at a Solution Can anyone tell me how to find the general solution of the Euler Cauchy equation. How do we make it into one?? Thanks.
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    Double integral question: Evaluating Integrals with Sinusoidal Functions

    Double integral question... Homework Statement Evaluate the integrals shown ( I have attached the file with the integral). Homework Equations The Attempt at a Solution Ok, for the first one, can you tell me how I integrate sin x^2...?? which method should i use? And for the...
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    Double integral problem help appreciated

    yea i want to change the order of integration so it becomes dx dy. Then what do I have to do?
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    Double integral problem help appreciated

    Homework Statement Evaluate the integral shown ( I have the file with the given integral attached here). Homework Equations The Attempt at a Solution So what i did was change dy dx into dx dy. Then i integrated y so the whole thing becomes 2x - y^3. I plugged the values (1+x)...
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    First order differential equation problem.

    Homework Statement Find the general solution of 2y(x^3+1)dy + 3x^2(1-y^2)dx = 0 Homework Equations The Attempt at a Solution So I first grouped the terms with dy or dx 2y/(1-y^2) dy = -3x^2/(x^3 +1) dx after integrating both sides and solving, I got ln (1-y^2)=...
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    How to Change the Order of Integration in a Double Integral?

    cheers mate. understand it loads better now!
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    How to Change the Order of Integration in a Double Integral?

    Homework Statement Evaluate the integral shown in the diagram Homework Equations The Attempt at a Solution The first step to evaluating the integral is shown in the diagram (labelled as 2). They said they changed the order of integration. I was wondering what they mean by...
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    How do u implicitly differentiate (xy)^1/2

    what do u mean it isn't implicit differentiation?
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    How do u implicitly differentiate (xy)^1/2

    Homework Statement How do u implicitly differentiate (xy)^1/2 Homework Equations The Attempt at a Solution Would it be 1/2(xy)^-1/2 multiplied by 1 and dy/dx. Thanks
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    Solve Mesh Currents: Find i1, i2 & i3

    Homework Statement Find the mesh currents i1, i2 and i3 Homework Equations The Attempt at a Solution I did it this way KVL at i1: 12 + 1i2 + 1i1 - 1I2 + 10 = 0 KVL at i2: 10 + 1i2 - 1i1 + 1i2 + 1i2 - 1i3 = 0 KVL at i3: 1i3 - 1i2 + 1i3 + 12 = 0 I was wondering...
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