By Regina Trevino
The PreMBA Analytical Primer is a concise and concentrated evaluate of the analytical instruments and techniques which are required in MBA quantitative courses.
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Extra resources for PreMBA Analytical Primer: Essential Quantitative Concepts for Business Math
RULE 2r. A fractional exponent is deﬁned as: n xa = √ a x n = √ a xn, where if a is even, then x must be nonnegative. 5) indicates square root. 5 . , 4 workers for every machine). How many workers and machines are required to meet a production target of 140 units? 5 . 35 BUSINESS MATH: FUNCTIONS AND GRAPHS Then, we can apply our rules to simplify as follows: √ √ L· L (Following R ULE 2r), 140 = 10 √ 4 L 140 = 10 (Following R ULE 2x). 2 Solving for L results in L ∗ = 28. Finally, to ﬁnd K ∗ , substitute into the relation given to us: K∗ = 28 L = = 7.
Another common notation of derivatives requires the use of new symbols. The symbol for a “small (inﬁnitesimal) change in the variable x” is dx (this does not mean dy d times x). We denote the derivative of y = f (x) with respect to x as: dx . dy Note that dx is not a fraction, it is a single symbol for the derivative. This notation reinforces the idea that the derivate is a rate of change. It indicates that the derivative of y with respect to x gives us the change in y that results from an inﬁnitesimal change in x.
The index indicates which root is to be taken. In square roots, the index 2 is not written. A positive number has two square roots that have opposite signs. For example, the square roots of 9 are ±3. The principal square root of a number is its positive square√root. The radical sign is used to indicate the principal square root. Thus, 9 = principal square root of 9 = 3. A negative sign is placed √ before the radical sign to indicate the negative square root, for example, − 9 = −3. The following rules apply for square roots (r is for root): RULE 1r.
PreMBA Analytical Primer: Essential Quantitative Concepts for Business Math by Regina Trevino