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On a distant planet, Ralph ran into a creature with multiple arms and multiple legs. Each arm has 6 fingers and each leg has 9 toes. On any one of these creatures, the total number of fingers and toes, D, can be described with the equation D = 6x + 9y. In this equation, what does the variable x represent?
What percent of variation are restaurant sales explained by this equation?
Starbucks serves coffee at 180 degrees and room temperature in Starbucks is 75 degrees. (a) If the coffee at time t = 0 (in minutes) has temperature 180, write down a differential equation for its temperature T(t) at time t > 0. Your equation wil..
Let f(x) = arctan (x/(2-x^2)) Using the rules for differentiation given in lectures, find f'(1), simplifying your derivative before evaluating it,and clearly indicating your working.
How many years will it take to double $1000 at 4% interest compounded semiannually? How much interest will you owe on a $1000 loan from March 3 to August 7 at 10% simple interest?
wal-mart sells thermometers 2 and hot-water bottles 6. in december wal-marts total sales were 1200. customers bought 7
Consider all right circular cylinders for which the sum of the height and circumference is 30 centimeters. What is the radius of one with maximum volume.
Write your answers using set notation.
Calculate the actual error in the approximation. What is the relative error when compared to actual volume of paint required?
A closed cylindrical can is to have a surface area of S square units. Show that the can of maximum volume is achieved when the height is equal to the diameter of the base.
The questions we will answer using optimization are: What dimensions should the box have, and what would be the resulting maximum volume?
Find the simple interest on a loan of $ 1425 after 2 months if the annual interest rate is 9%.
Write and equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. f(x) = (3x^2 + 5x + 4)(4x + 3), x=0
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