Caroline U.

Civil Engineering Student with a math minor at Seattle University

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French

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Question:

Corrigez les phrases ci-dessous; 1. Quand viendras tu me visiter? 2. Il faut que je sort de la maison 3. J'ai fait une erreur

Caroline U.

Answer:

1. Quand viendras me rendre visite? 2. If faut que je sorte de la maison 3. J'ai commit une erreur

Calculus

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Question:

Solve the differential equation below: dy / x = y dx

Caroline U.

Answer:

The differential equation above is described as separable equation. A separable equation is one that allows you to put all alike terms together without being multiplied by a different term, ie; all x's one one side and all y's on the other side. In this case, we can divide y on both sides to get dy / (x*y) = dx Multiply ln x on both sides to get dy / y = x dx Now, we can integrate both sides of the equation lny = (1/2) x^2 + c Note that I did not add a constant when finding the derivative of y, yet I did so for x. This is because I am solving for y as a function of x. I could have a constant, let's say b, at y but move it to the right side and it adds up to the constant c, which becomes another constant. Now use expontial to remove the ln before y, e^(lny) = e^[(1/2) x^2 + c] We get y = e^[(1/2) x^2 + c] Note: e to the power of lna = a y = e^[(1/2) x^2]+ e^c e^c is a constant, let's call it k y = e^[(1/2) x^2]+ k The above is the solution to the differential equation.

Civil Engineering

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Question:

Assume that you performed a sieve analysis for a type of soil and the result came out as follows; 65% material retained on No. 4 sieve, 32% retained on No. 200 sieve, Cu = 3 and Cc = 1. How would you classify the soil above, using USCS?

Caroline U.

Answer:

If less than 50% of material passes No. 200 sieve, that implies that the soil is coarse-grained, otherwise it would be fine-grained. A soil that is coarse grained can be either gravel or sand. To determine if it is gravel, the material that is retained at No. 4 sieve needs to be more than 50%, otherwise it is sand. The test results show that 65% is retained at No. 4 and 32% is retained at No. 200, thus only 3% passes No. 200. This implies that the soil is coarse grained. More than 50% is retained at No. 4, which means that the soil is gravel. According to USCS, Cu is equal or greater than 4 and Cc is between 1 and 3, then is it consider well-graded, otherwise it is poorly-graded. In this case, Cu is less than 4, thus the soil is poorly-graded. Therefore, the USCS classification is poorly-graded gravel, (GP).

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