6. It's Easy as Pie of Chesterfield, Missouri, bakes every kind of pie you can imagine. Anefficiency study showed that the rate at which the pies are baked by the typical baker z hoursafter starting work at 5 a.m.3A(z)=-=-2² +62 pies per hour,(0 ≤ i ≤ 8).(a) Find the total number of pies the typical baker can be expected to bake in the four-hourmorning shift.(b) How many pies can the typical baker be expected to bake in the second hour of themorning shift? Pause to think about the limits of integration.

Given is the application based question of integration.

Answered: 6. It's Easy as Pie of Chesterfield,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
A company's cash position (measured in millions of dollars) follows a generalized Wiener process growing onaverage 0.2 m per quarter with volatility of 0.1m per quarter. How high must the initial cash balance be for theprobability of a negative balance after 2.00 years not to exceed 5%?
A company needs to rent space for its office employees both in the suburbs and downtown. Space is available in suburbia at a rate of $120 per square metre (per annum), while downtown space rents for $250 per square metre (per annum). In suburbia, only 30% of the space is “executive” quality, while the rest is ordinary quality. At the downtown location, 70% of the space is executive quality, while the rest is ordinary quality. The company needs a total of at least 1000 square metres of space, of which at least 510 square metres must be executive quality. No more than three quarters of the entire space is to be at either location. They wish to know how much space they should rent in each place so as to minimize the total expenditure on rent. a) Show the decision variables b) Show the objective function c) Show the constraints in standard form (i.e. suitable for using Excel’s Solver) d) Solve the linear programming problem by graphing
The City Council proposed to utilize government-owned land with an area of 9,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dx/dt=1 tent per day, given that if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.
The City Council proposed to utilize government-owned land with an area of 9,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dx/dt=1 tent per day, given that if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding. A. Illustration and Representation of Variables B. Detailed Solution (do not use piecewise) C. Conclusion
The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
The City Council proposed to utilize government-owned land with an area of 21,600 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day,given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.
Solve for average value of the function within interval [0,20]
A contractor is planning to bid for a job of filling potholes on a given stretch of a high way. Before approaching for the bid, he decided to have an idea about the road from government agencies. Three departments public works (PW), transport (T) and traffic (Tf),as usual reported, three different average number of potholes in a one KM stretch of the high way. The constant rate of number of potholes per one KM stretch of the high way are 30, 35 and 40 respectively from PW, T and Tf. The contractor believes information from Transport department is more reliable than the other two. The chance that PW will be considered is 1/4, T will be considered is 1/2 and Tf will be considered is 1/4, by the contractor for drawing conclusion. What is the probability of finding exactly three potholes in a randomly selected 100 meter stretch?
Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day, given that if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent on the same area due to overcrowding. Please take note that we are solving for the rates at which the total average number of COVID cases is changing or increasing when there are additional 10 tents in the area due to overcrowding. Additionally, the average number of cases per tent is 7 when there is EXACTLY 30 tents.Goal: You need to determine the dimensions of the land planted with mango trees with the minimum cost of fencing and the rate at which the number of COVID cases is increasing in an emergency field hospital.
Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day, given that if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent on the same area due to overcrowding.Please take note that we are solving for the rates at which the total average number of COVID cases is changing or increasing when there are additional 10 tents in the area due to overcrowding. Additionally, the average number of cases per tent is 7 when there is EXACTLY 30 tents. Lastly, avoid the use of piecewise functions and fill the blank in the formula below as a clue: Y= x (7+2(___30))
A tank with a capacity of 210 liters, initially contains a solution with 20 kilograms of salt dissolved in 50 liters of water. A second solution containing 3 kilograms of dissolved salt per liter, runs into the tank at 4 liters every minute and that the mixture (kept uniform by stirring) runs out of the tank at the rate of 1 liter per minute. What is the concentration of the solution in the tank when the solution reached halfway level? Intermediate values should be rounded only to two decimal places. Round off the final answer to two decimal places.

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