# A0-stable linear multistep formulas of the-type by Rockswold G. K.

By Rockswold G. K.

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B) Answer the above question for the system. 31 [Math. , Sept. 1952] In air a gold-surfaced sphere weighs 7588 grams. It is known that it may contain one or more of the metals aluminum, copper, silver, or lead. When weighed successively under standard conditions in water, benzene, alcohol, and glycerine its respective weights are 6588, 6688, 6778, and 6328 grams. How much, if any, of the forenamed metals does it contain if the specific gravities of the designated substances are taken to be as follows?

Translations from [Heath], pp. ) Do planes, as described in this section, have that property? Does this description adequately define planes? 2 Length and Angle Measures We’ve translated the first section’s results about solution sets into geometric terms for insight into how those sets look. But we must watch out not to be mislead by our own terms; labeling subsets of Rk of the forms {p + tv t ∈ R} and {p + tv + sw t, s ∈ R} as “lines” and “planes” doesn’t make them act like the lines and planes of our prior experience.

Nonhomogeneous systems can be inconsistent. But a homogeneous system must be consistent since there is always at least one solution, the vector of zeros. 4 Definition A column or row vector of all zeros is a zero vector, denoted 0. , the one-tall zero vector, the two-tall zero vector, etc. Nonetheless, people often refer to “the” zero vector, expecting that the size of the one being discussed will be clear from the context. 5 Example Some homogeneous systems have the zero vector as their only solution.