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Suppose that a body moves in a straight line through a resisting medium with resistance proportional to the square of it's speed v with initial speed v_0 and initial position x_0. Show that it's speed and position are given by v(t)=v_0/(1+v_0kt), x(t)=x_0+((ln(1+v_0kt))/k). Conclude that the body travels only an infinite distance, i.e. x(t) tends to infinity as t tends to infinity.
Q. solve using simplex method, Hence using the sensitivity analysis, find the new optimal solution of the LPP if the availability of the second constraint is changed from 11 to 15
The Mico soft drink company makes two kinds of beverages: regular and diet. Their limited resources are the time it takes to make the drinks (8 hours = 480 minutes per day) and syrup (as an ingredient) limited to 675 gallons per day.
Solve the following LP problem graphically using Excel, Solve the following LP problem graphically using Excel with the computations in the cells
Now there is a fair coin in each room. Each prisoner goes to each room and flips the coin. If the coin comes up heads, prisoner changes the state of the switch.
Mathematicians say that division by zero is forbidden. The expression 5/0, for example, is undefined. "Undefined" in this sense means "unable to be determined". Why is this?
Prepare an equation for the number of cups you sell as a function of the price you charge - Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge.
The probability that federal income tax returns will have 0,1, or 2 errors is 0.53,0.15, and 0.32. if 10 randomly selected returns are audited
Find all triples (x, y, z) of real numbers having the following property: when any one of the numbers is added to the product of the other two, the result equals 2.
Find the equation of the perpendicular bisector of the line drawn between two points and determine the center and radius of the circle equation.
The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^-t/5 dollars per year.
Simple linear regression model
Probability: Random Dart. A dartboard has 3 areas: the main board has a radius of 9 inches; there is a circle with a radius of 5 inches
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