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State each of the following arguments in abstract form. Recognize the premises and the conclusion of the argument. Then test whether the argument is valid or invalid. Describe how you determined whether the argument is valid or invalid.
(a) If there is money in my account, I will give the rent. If I do not pay the rent, I will be evicted. I will not be evicted. Therefore, there is money in my account.
(b) If there is money in my account, I will pay the rent. If I do not pay the rent, I will be evicted. I will be evicted. Thus, there is no money in my account.
(c) If there is money in my account, I will pay the rent. I will be evicted, if and only if I do not pay the rent. I will be evicted. Thus, there is no money in my account.
the solution of diffusion equation by using separation of variables
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y"+3y''+2y=0
A company manufactures an assembly consisting of a frame, a shaft, and a ball bearing. The company manufactures the shafts and frames but purchases the ball bearings from a ball be
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