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The Math Venture
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Добавлен 9 окт 2014
“Do not be afraid. Do not be satisfied with mediocrity. Put out into the deep and let down your nets for a catch.”
Saint John Paul II
Saint John Paul II
net change theorem - calculus 1
For a given motor vehicle, the maximum achievable deceleration from braking is approximately 7 m/sec2 on dry concrete. On wet asphalt, it is approximately 2.5 m/sec2. Given that 1 mph corresponds to 0.447 m/sec, find the total distance that a car travels in meters on dry concrete after the brakes are applied until it comes to a complete stop if the initial velocity is 67 mph (30 m/sec) or if the initial braking velocity is 56 mph (25 m/sec). Find the corresponding distances if the surface is slippery wet asphalt.
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Видео
tank problem - calculus
Просмотров 67Год назад
A horizontal cylindrical tank has cross-sectional area A(x) at height x meters above the bottom when x is less than 3. Find the volume at heights between 2 m and 3 m. Suppose that oil is being pumped into the tank at a rate of 50 L/min. Using the chain rule, at how many meters per minute is the height of oil in the tank changing, expressed in terms of x, when the height is at x meters? How long...
Derivative using Product Rule - Example
Просмотров 52Год назад
Derivative using Product Rule - Example
Find Linear Demand Equation D(q) - word problem
Просмотров 223Год назад
Suppose that the supply function for honey is p=S(q)=0.3q 2.7, where p is the price in dollars for an 8 -oz container and q is the quantity in barrels. Suppose also that the equilibrium price is $4.50 and the demand is 2 barrels when the price is $5.30 . Find an equation for the demand function, assuming it is linear.
Oil is leaking from an oil tanker at the rate of 3000 gallons per day. At this rate...
Просмотров 625Год назад
Oil is leaking from an oil tanker at the rate of 3000 gallons per day. At this rate the radius of the circular slick of oil is increasing at a rate of 3 miles per day. a) Create a function, call it r(t) , that models the radius of the circular slick of oil at a time, t , days after the beginning of the leak. That is, find an expression for r(t). ....................................................
Elasticity of Demand Problem
Просмотров 271Год назад
Big O tires can sell 10,230 Michelin RG Tires per week nationally if the price is set at $85 per tire, but only 8,320 tires if the price is $105 each. Using a LINEAR demand model 1. What is the price elasticity of demand for this tire at Big O Tires if the price is $110? ............................. ......................... .......................
Expected Value of Lottery Ticket - Discrete Random Variable (Example)
Просмотров 979Год назад
For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. Complete parts (a) through (d) below. (a) If the grand prize is $18,000,000, find and interpret the expected cash prize. If a ticket costs $1, what is your expected profit from one ticket? (b) If the grand prize is $18,000,000, what is the sta...
Graph Piecewise Function (Linear) - Example
Просмотров 22Год назад
Graph Piecewise Function (Linear) - Example
Probability using Combination Formula - Example
Просмотров 171Год назад
The grade appeal process at a university requires that a jury be structured by selecting eight individuals randomly from a pool of ten students and eleven faculty. a) What is the probability of selecting a jury of all students? b) What is the probability of selecting a jury of all faculty? c) What is the probability of selecting a jury of five students and three faculty?
Algebra Word Problem - The Thief steeling plants
Просмотров 350Год назад
A thief steals a number of rare plants from a nursery. On the way out, the thief meets three security guards, one after another. To each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more. Finally, the thief leaves the nursery with 2 plants. How many plants were originally stolen?
Maximizing Profit problem - Business Calculus
Просмотров 123Год назад
A company estimates that it can sell 5,000 units each month of its product if it prices each unit at $75. However, its monthly number of sales will increase by 20 units for each $0.25 decrease in price. The company has fixed costs of $450. The cost to make each unit is $4.90. Find the level of production that maximizes the company's profit.
Permutation, Combination, Factorial - Using Excel
Просмотров 842 года назад
Permutation, Combination, Factorial - Using Excel
Mean & Variance of Probability Distribution - Using Excel
Просмотров 482 года назад
Mean & Variance of Probability Distribution - Using Excel
Hypothesis Testing for One Proportion - Using Excel
Просмотров 2442 года назад
Hypothesis Testing for One Proportion - Using Excel
Hypothesis Testing for Mean (Unknown Population Standard Deviation - Using Excel)
Просмотров 5332 года назад
Hypothesis Testing for Mean (Unknown Population Standard Deviation - Using Excel)
Hypothesis Testing for Mean (Known Population Standard Deviation) - Using Excel
Просмотров 3232 года назад
Hypothesis Testing for Mean (Known Population Standard Deviation) - Using Excel
Two Proportions - Hypothesis Testing - Using Excel
Просмотров 222 года назад
Two Proportions - Hypothesis Testing - Using Excel
Standard Deviation, Variance, Range, Mid-Range - Using Excel
Просмотров 2,6 тыс.2 года назад
Standard Deviation, Variance, Range, Mid-Range - Using Excel
Two Variances/Standard Deviations F Test - Hypothesis Test - Using Excel
Просмотров 2272 года назад
Two Variances/Standard Deviations F Test - Hypothesis Test - Using Excel
Hypothesis for Two Dependent Means (Matched Pairs) - Using Excel
Просмотров 2472 года назад
Hypothesis for Two Dependent Means (Matched Pairs) - Using Excel
Normal Distribution - Standard Normal Distribution - Using Excel
Просмотров 782 года назад
Normal Distribution - Standard Normal Distribution - Using Excel
Normal Probability Plot - Using Excel
Просмотров 7402 года назад
Normal Probability Plot - Using Excel