Exponentiation Essays

The Capsize Screening Value

This week I’m asked to solve the following word problem in relation to a real world radical formula. Problem 103 on pages 605-606 states: To be considered safe for ocean sailing, the capsize screening value C should be less than 2 (www.sailing.com). For a boat with a beam (or width) b in feet and displacement d in pounds, C is determined by the function: C=〖4d〗^(-1/3) b. Find the capsize screening value for the Tartan 4100, which has a displacement of…

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Exponential and Logarithmic Functions Alvaro Hurtado

A function is a relation in which each element of the domain is paired with exactly one element in the range. Two types of functions are the exponential functions and the logarithmic functions. Exponential functions are the functions in the form of y = ax, where “a” is a positive real number, greater than zero and not equal to one. Logarithmic functions are the inverse of exponential functions, y = loga x, where “a” is greater to zero and not…

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Real World Radical Formulas

Introduction In this paper I will be discussing on radical formulas and how to solve for the formula that is given as C = 4d^-1/3b where d is the displacement in pounds and b is the beam width in feet. The exponent of -1/3 means that the cube root of d will be taken and then the reciprocal of the number will be used in the multiplication. These rules include accurately finding the cube and square root for numbers and…

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