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In the 24 hours after Maria began observing Elasticman, how much of the time will Elasticman be less than 6 feet tall?
The number of people in a town of 10,000 who have heard a rumor started by a small group of people is given by the following function. How many people were in the group that started the rumor?
A hot bowl of soup cools according to Newton's law of cooling. Its temperature (in degrees Fahrenheit) at time. What is the temperature of the soup after 15 minutes?
Find the local maximum and minimum values of the function below, and the value of x at which each occurs. Find the average rate of change for the function f(x)= 1/6x+7 between x=a and x=a+h
At time t > 0 (in hours since giving the drug), the concentration (in mg/L) is given by the equation: c(t)= (60t)/(t^2+9). What is the highest concentration of the drug?
Write an exponential equation to represent the total bacteria in Rauls body. Let x represent time in 42 minute intervals.
Draw the graph of the rational function that has the following characteristics: 1) Domain: all real numbers except -1 & 2. 2) Horizontal asymptote y=1. 3) vertical asymptote x=-1. 4).
Currently, the level of production is 2,197 printers and that level is increasing at the rate of 400 printers per month. Find the rate at which the cost is increasing each month.
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 1.75% per hour.
The total pressure of the wet air is 98kPa. If the total mass of the wet air is 400Kg, determine the relative humidity and the volume of the room.
The specific entropy and mass of a sample of air is known. Is it possible to calculate the enthalpy? Justify your answer. Would it be possible to calculate the entropy of the air sample?
Draw the Otto cycle and Diesel cycle on Pv diagrams and Ts diagrams. Don't forget to label the constant properties associated with each process.
Find an expression for the conduction heat flux to the cold surface and the temperature of the hot surface Ts2, expressing your results in terms of k, q', L, and Ts1.
Find the dimensions of the window that admits the greatest amount of light (round to one decimal place) The funtion is A(x)=x(pie(x)+x-30) + 1/2pie(1/2x)2.
A model rocket is launched with an initial upward velocity of 151ft/s . The rocket's height (in feet) after t seconds is given by the following.
The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?
Suppose that the number of bacteria in a container triples every 2 minutes, according to the law of uninhibited growth, and after 10 minutes the container is full. How long does it take to fill a th
Find the profit function P(x) that models the total profit made each week from selling wreaths at price x E.) determine the price at which the community group's weekly profit will be maximized. What
List the possible factors for h(x) = 4x^4-5x^3+2x^2-x+5. Determine the equations of the asymptotes: g(x) = 2x^2+1/x+3
Given f(x)= x^4-4x^3-x^2+14x+10. Find the possible zeros in the polynnomia function roots. (b) Identify the actual real root using the synthetic division rule.
Find a simple formula for the area of an oblique SAS triangle (a triangle that is not a right triangle for which you know the lengths of two sides and the measure of their included angle)?
Complete the following. (a) List all the possible rational roots. (b) Indentify one actual root using synthetic division.. (c) Use the root is part b to solve the equation.
At Lizzie's Waffle House the profit, in dollars, is a function of the number, x, of waffles sold in a day with. How many waffles need to be served to make the maximum profit?
What is the magnitude and direction of the force , F that will keep this object in equilibrum? 45n 30 degres right then 45 degres down and f points two the left what is F.
What is the magnitude of the resulting impedance, z, (in ohms) and current I, (in amps) when it is hooked up to a 60 hz 220v outlet?